A symmetric integrated radial basis function method for solving differential equations
Article
Mai-Duy, Nam, Dalal, Deepak, Le, Thi Thuy Van, Ngo-Cong, Duc and Tran-Cong, Thanh. 2018. "A symmetric integrated radial basis function method for solving differential equations." Numerical Methods for Partial Differential Equations. 34 (3), pp. 959-981. https://doi.org/10.1002/num.22240
| Article Title | A symmetric integrated radial basis function method for solving differential equations |
|---|---|
| ERA Journal ID | 344 |
| Article Category | Article |
| Authors | Mai-Duy, Nam (Author), Dalal, Deepak (Author), Le, Thi Thuy Van (Author), Ngo-Cong, Duc (Author) and Tran-Cong, Thanh (Author) |
| Journal Title | Numerical Methods for Partial Differential Equations |
| Journal Citation | 34 (3), pp. 959-981 |
| Number of Pages | 23 |
| Year | 2018 |
| Place of Publication | United States |
| ISSN | 0749-159X |
| 1098-2426 | |
| Digital Object Identifier (DOI) | https://doi.org/10.1002/num.22240 |
| Web Address (URL) | https://onlinelibrary.wiley.com/doi/full/10.1002/num.22240 |
| Abstract | In this article, integrated radial basis functions (IRBFs) are used for Hermite interpolation in the solution of differential equations, resulting in a new meshless symmetric RBF method. Both global and local approximation-based schemes are derived. For the latter, the focus is on the construction of compact approximation stencils, where a sparse system matrix and a high-order accuracy can be achieved together. Cartesian-grid-based stencils are possible for problems defined on nonrectangular domains. Furthermore, the effects of the RBF width on the solution accuracy for a given grid size are fully explored with a reasonable computational cost. The proposed schemes are numerically verified in some elliptic boundary-value problems governed by the Poisson and convection-diffusion equations. High levels of the solution accuracy are obtained using relatively coarse discretisations. |
| Keywords | compact local approximation, extended precision, flat radial basis function, global approximation, Hermite interpolation, integrated radial basis function |
| ANZSRC Field of Research 2020 | 490302. Numerical analysis |
| 490399. Numerical and computational mathematics not elsewhere classified | |
| 490199. Applied mathematics not elsewhere classified | |
| Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
| Byline Affiliations | Computational Engineering and Science Research Centre |
| School of Mechanical and Electrical Engineering | |
| Institution of Origin | University of Southern Queensland |
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Thai-Quang, N., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2013. "A direct forcing immersed boundary method employed with compact integrated RBF approximations for heat transfer and fluid flow problems." CMES Computer Modeling in Engineering and Sciences. 96 (1), pp. 49-90. https://doi.org/10.3970/cmes.2013.096.049Compact local IRBF and domain decomposition method for solving PDEs using a distributed termination detection based parallel algorithm
Pham-Sy, N., Tran, C.-D., Hoang-Trieu, T.-T., Mai-Duy, N. and Tran-Cong, T.. 2013. "Compact local IRBF and domain decomposition method for solving PDEs using a distributed termination detection based parallel algorithm." CMES Computer Modeling in Engineering and Sciences. 92 (1), pp. 1-31. https://doi.org/10.3970/cmes.2013.092.001A finite-volume method based on compact local integrated radial basis function approximations for second-order differential problems
Hoang-Trieu, T.-T., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2013. "A finite-volume method based on compact local integrated radial basis function approximations for second-order differential problems." CMES Computer Modeling in Engineering and Sciences. 91 (6), pp. 485-516. https://doi.org/10.3970/cmes.2013.091.485A numerical scheme based on compact integrated-RBFs and Adams-Bashforth/Crank-Nicolson algorithms for diffusion and unsteady fluid flow problems
Thai-Quang, N., Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2013. "A numerical scheme based on compact integrated-RBFs and Adams-Bashforth/Crank-Nicolson algorithms for diffusion and unsteady fluid flow problems." Engineering Analysis with Boundary Elements. 37 (12), pp. 1653-1667. https://doi.org/10.1016/j.enganabound.2013.09.011A compact 9 point stencil based on integrated RBFs for the convection-diffusion equation
Mai-Duy, N., Thai-Quang, N., Hoang-Trieu, T.-T. and Tran-Cong, T.. 2014. "A compact 9 point stencil based on integrated RBFs for the convection-diffusion equation." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 38 (4), pp. 1495-1510. https://doi.org/10.1016/j.apm.2013.08.017Applying bi-directional evolutionary structural optimisation method for tunnel reinforcement design considering nonlinear material behaviour
Nguyen, T., Ghabraie, K. and Tran-Cong, T.. 2014. "Applying bi-directional evolutionary structural optimisation method for tunnel reinforcement design considering nonlinear material behaviour." Computers and Geotechnics. 55, pp. 57-66. https://doi.org/10.1016/j.compgeo.2013.07.015Simulation of Newtonian-fluid flows with C2-continuous two-node integrated-RBF elements
An-Vo, D.-A., Mai-Duy, N. and Tran-Cong, T.. 2010. "Simulation of Newtonian-fluid flows with C2-continuous two-node integrated-RBF elements." Structural Longevity. 4 (1), pp. 39-45. https://doi.org/10.3970/sl.2010.004.039Compact local stencils employed with integrated RBFs for fourth-order differential problems
Hoang-Trieu, T.-T., Mai-Duy, N. and Tran-Cong, T.. 2011. "Compact local stencils employed with integrated RBFs for fourth-order differential problems." Structural Longevity. 6 (2), pp. 93-107. https://doi.org/10.3970/sl.2011.006.093A numerical study of integrated radial-basis-functions for the pressure-velocity formulation
Thai-Quang, Nha, Mai-Duy, Nam and Tran-Cong, Thanh. 2012. "A numerical study of integrated radial-basis-functions for the pressure-velocity formulation." 7th ICCES Special Symposium on Meshless & Other Novel Computational Methods (ICCES MM 2011). Zonguldak, Turkey 06 - 10 Sep 2011 USA.RBF computation of multiscale elliptic problems [Keynote paper]
An-Vo, D.-A., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2012. "RBF computation of multiscale elliptic problems [Keynote paper]." Atluri, S. N., Vusanovic, I. and Sarler, B. (ed.) 8th ICCES Special Symposium on Meshless & Other Novel Computational Methods (ICCES MM 2012). Budva, Montenegro 02 - 06 Sep 2012 Montenegro.Discretisation of the velocity-pressure formulation with integrated radial-basis-function networks
Thai-Quang, N., Le-Cao, K., Mai-Duy, N. and Tran-Cong, T.. 2011. "Discretisation of the velocity-pressure formulation with integrated radial-basis-function networks." Structural Longevity. 6 (2), pp. 77-91. https://doi.org/10.3970/sl.2011.006.077A numerical study of strongly overdamped dissipative particle dynamics (DPD) systems
Mai-Duy, N., Phan-Thien, N. and Khoo, B. C.. 2013. "A numerical study of strongly overdamped dissipative particle dynamics (DPD) systems." Journal of Computational Physics. 245, pp. 150-159. https://doi.org/10.1016/j.jcp.2013.03.013Computation of a Fokker-Planck-equation-based multi-scale model for complex flows using the IRBFN method
Tran, Canh-Dung, Mai-Duy, Nam and Tran-Cong, Thanh. 2012. "Computation of a Fokker-Planck-equation-based multi-scale model for complex flows using the IRBFN method." Eberhardsteiner, J., Böhm, H. J. and Rammerstorfer, F. G. (ed.) 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012). Vienna, Austria Vienna, Austria.Numerical solution of Fokker-Planck equation using the integral radial basis function networks
Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2012. "Numerical solution of Fokker-Planck equation using the integral radial basis function networks." Pimenta, P. M. and Campello, E. M. B. (ed.) 10th World Congress on Computational Mechanics (WCCM 2012). Sao Paulo, Brazil 08 - 13 Jul 2012 Sao Paulo, Brazil. https://doi.org/10.5151/10.5151/meceng-wccm2012-19433Modeling strain localisation in a segmented bar by a C2-continuous two-node integrated-RBF element formulation
An-Vo, D.-A., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2012. "Modeling strain localisation in a segmented bar by a C2-continuous two-node integrated-RBF element formulation." Brebbia, C. A. and Poljak, D. (ed.) 34th International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2012). Split, Croatia 25 - 27 Jun 2012 United Kingdom. https://doi.org/10.2495/BE120011A new IRBFN scheme for the numerical simulation of interfacial flows
Mai-Cao, L. and Tran-Cong, T.. 2012. "A new IRBFN scheme for the numerical simulation of interfacial flows." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.Development of parallel algorithm for boundary value problems using compact local integrated RBFN and domain decomposition
Pham-Sy, N., Hoang-Trieu, T.-T., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2012. "Development of parallel algorithm for boundary value problems using compact local integrated RBFN and domain decomposition." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.A high-order compact integrated-RBF scheme for time-dependent problems
Thai-Quang, N., Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2012. "A high-order compact integrated-RBF scheme for time-dependent problems." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.Compact local integrated RBF stencil based on finite volume formulation for second-order differential problems
Hoang-Trieu, T.-T., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2012. "Compact local integrated RBF stencil based on finite volume formulation for second-order differential problems." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.High-order alternating direction implicit method based on compact integrated-RBF approximations for unsteady/steady convection-diffusion equations
Thai-Quang, N., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2012. "High-order alternating direction implicit method based on compact integrated-RBF approximations for unsteady/steady convection-diffusion equations." CMES Computer Modeling in Engineering and Sciences. 89 (3), pp. 189-220. https://doi.org/10.3970/cmes.2012.089.189RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients
An-Vo, D.-A., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2012. "RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients." CMES Computer Modeling in Engineering and Sciences. 89 (4), pp. 303-359. https://doi.org/10.3970/cmes.2012.089.303Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows ." CMES Computer Modeling in Engineering and Sciences. 83 (3), pp. 311-351. https://doi.org/10.3970/cmes.2012.083.311Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli ." CMES Computer Modeling in Engineering and Sciences. 83 (3), pp. 275-310. https://doi.org/10.3970/cmes.2012.083.275A continuum-microscopic method based on IRBFs and control volume scheme for viscoelastic fluid flows
Tran, C.-D., Mai-Duy, N., Le-Cao, K. and Tran-Cong, T.. 2012. "A continuum-microscopic method based on IRBFs and control volume scheme for viscoelastic fluid flows." CMES Computer Modeling in Engineering and Sciences. 85 (6), pp. 499-519. https://doi.org/10.3970/cmes.2012.085.499Processing the CNTs' interaction in web using an electro-static field based process
Tran, Canh-Dung, Tran-Cong, Thanh, Le-Cao, K. and Ho-Minh, D.. 2012. "Processing the CNTs' interaction in web using an electro-static field based process." Griffin, Brendan, Faraone, Lorenzo and Martyniuk, Mariusz (ed.) 2012 International Conference on Nanoscience and Nanotechnology (ICONN 2012). Perth, Australia 05 - 09 Feb 2012 Piscataway, NJ. United States.Tunnel reinforcement optimisation for nonlinear material
Nguyen, T., Ghabraie, K. and Tran-Cong, T.. 2012. "Tunnel reinforcement optimisation for nonlinear material." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.A high-order compact local integrated-RBF scheme for steady-state incompressible viscous flows in the primitive variables
Thai-Quang, N., Le-Cao, K., Mai-Duy, N. and Tran-Cong, T.. 2012. "A high-order compact local integrated-RBF scheme for steady-state incompressible viscous flows in the primitive variables." CMES Computer Modeling in Engineering and Sciences. 84 (6), pp. 528-557. https://doi.org/10.3970/cmes.2012.084.528A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis." CMES Computer Modeling in Engineering and Sciences. 83 (5), pp. 459-498. https://doi.org/10.3970/cmes.2012.083.459Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows." International Journal for Numerical Methods in Fluids. 70 (11), pp. 1443-1474. https://doi.org/10.1002/fld.3640Several compact local stencils based on integrated RBFs for fourth-order ODEs and PDEs
Hoang-Trieu, T.-T., Mai-Duy, N. and Tran-Cong, T.. 2012. "Several compact local stencils based on integrated RBFs for fourth-order ODEs and PDEs." CMES Computer Modeling in Engineering and Sciences. 84 (2), pp. 171-203. https://doi.org/10.3970/cmes.2012.084.171Simulation of viscous and viscoelastic flows using a RBF-Galerkin approach
Ho-Minh, D., Mai-Duy, N. and Tran-Cong, T.. 2012. "Simulation of viscous and viscoelastic flows using a RBF-Galerkin approach." Australian Journal of Mechanical Engineering. 9 (2), pp. 101-112. https://doi.org/10.7158/M10-719.2012.9.2Moving least square: one dimensional integrated radial basis function networks for time dependent problems
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2011. "Moving least square: one dimensional integrated radial basis function networks for time dependent problems." Brebbia, C. A. and Popov, V. (ed.) 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011). New Forest, United Kingdom 28 - 30 Jun 2011 Southampton, UK. https://doi.org/10.2495/BE110271IRBFN-based multiscale solution of a model 1D elliptic equation
An-Vo, D.-A., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2011. "IRBFN-based multiscale solution of a model 1D elliptic equation." Brebbia, C. A. and Popov, V. (ed.) 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011). New Forest, United Kingdom 28 - 30 Jun 2011 Southampton, United Kingdom. https://doi.org/10.2495/BE110211Numerical study of stream-function formulation governing flows in multiply-connected domains by integrated RBFs and Cartesian grids
Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2011. "Numerical study of stream-function formulation governing flows in multiply-connected domains by integrated RBFs and Cartesian grids." Computers and Fluids. 44 (1), pp. 32-42. https://doi.org/10.1016/j.compfluid.2010.11.027An integrated RBFN-based macro-micro multi-scale method for computation of visco-elastic fluid flows
Tran, C.-D., An-Vo, D.-A., Mai-Duy, N. and Tran-Cong, T.. 2011. "An integrated RBFN-based macro-micro multi-scale method for computation of visco-elastic fluid flows." CMES Computer Modeling in Engineering and Sciences. 82 (2), pp. 137-162. https://doi.org/10.3970/cmes.2011.082.137Manufacturing polymer/carbon nanotube composite using a novel direct process
Tran, C.-D., Lucas, S., Phillips, D. G., Randeniya, L. K., Baughman, R. H. and Tran-Cong, T.. 2011. "Manufacturing polymer/carbon nanotube composite using a novel direct process." Nanotechnology. 22 (14), pp. 1453021-1453029. https://doi.org/10.1088/0957-4484/22/14/145302Compact local approximations employed with integrated RBFs for second-order elliptic differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2011. "Compact local approximations employed with integrated RBFs for second-order elliptic differential equations." Yang, Yeong-Bin, Leu, Liang-Jenq and Chen, Chuin-Shan David (ed.) 3rd International Symposium on Computational Mechanics (ISCM III) and 2nd Symposium on Computational Structural Engineering (CSE II). Taipei, Taiwan 05 - 07 Dec 2011 Taiwan.A stable and accurate control-volume technique based on integrated radial basis function networks for fluid-flow problems
Mai-Duy, N. and Tran-Cong, T.. 2011. "A stable and accurate control-volume technique based on integrated radial basis function networks for fluid-flow problems." Teh, Kian, Davies, Ian and Howard, Ian (ed.) 6th Australasian Congress on Applied Mechanics (ACAM 6). Perth, Western Australia 12 - 15 Dec 2010 Perth, Western Australia. Taylor & Francis. https://doi.org/10.1080/14484846.2011.11464606A numerical technique based on integrated RBFs for the system evolution in molecular dynamics
Mai-Duy, N., Tran-Cong, T. and Phan-Thien, N.. 2011. "A numerical technique based on integrated RBFs for the system evolution in molecular dynamics." CMES Computer Modeling in Engineering and Sciences. 79 (4), pp. 223-236. https://doi.org/10.3970/cmes.2011.079.223High-order upwind methods based on C2-continuous two-node integrated-RBF elements for viscous flows
An-Vo, D. A., Mai-Duy, N. and Tran-Cong, T.. 2011. "High-order upwind methods based on C2-continuous two-node integrated-RBF elements for viscous flows." CMES Computer Modeling in Engineering and Sciences. 80 (2), pp. 141-177. https://doi.org/10.3970/cmes.2011.080.141A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems
An-Vo, D. A., Mai-Duy, N. and Tran-Cong, T.. 2011. "A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems." CMES Computer Modeling in Engineering and Sciences. 72 (4), pp. 299-334. https://doi.org/10.3970/cmes.2011.072.299Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations
Nguyen-Van, H., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2011. "Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations." Computers and Structures. 89 (7-8), pp. 612-625. https://doi.org/10.1016/j.compstruc.2011.01.005Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2011. "Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method." Computers and Structures. 89 (1-2), pp. 1-13. https://doi.org/10.1016/j.compstruc.2010.07.012A high-order upwind control-volume method based on integrated RBFs for fluid-flow problems
Mai-Duy, N. and Tran-Cong, T.. 2011. "A high-order upwind control-volume method based on integrated RBFs for fluid-flow problems." International Journal for Numerical Methods in Fluids. 67 (12), pp. 1973-1992. https://doi.org/10.1002/fld.2477Integrated radial basis function methods for structural, fluid flow and fluid-structure interaction analyses
Ngo-Cong, Duc. 2012. Integrated radial basis function methods for structural, fluid flow and fluid-structure interaction analyses. PhD Thesis Doctor of Philosophy. University of Southern Queensland.Analysis of piezoelectric solids with an efficient node-based element
Nguyen-Van, H., Mai-Duy, N. and Tran-Cong, T.. 2008. "Analysis of piezoelectric solids with an efficient node-based element." Schrefler, B. A. and Perego, U. (ed.) 8th World Congress on Computational Mechanics (WCCM8), and 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008). Venice, Italy 30 Jun - 04 Jul 2008 Barcelona, Spain.An IRBFN cartesian grid method based on displacement-stress formulation for 2D elasticity problems
Le, P., Mai-Duy, N., Tran-Cong, T. and Baker, G.. 2008. "An IRBFN cartesian grid method based on displacement-stress formulation for 2D elasticity problems." Schrefler, B. A. and Perego, U. (ed.) 8th World Congress on Computational Mechanics (WCCM8), and 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008). Venice, Italy 30 Jun - 04 Jul 2008 Barcelona, Spain.Solving 2D biharmonic equations by the Galerkin approach using integrated radial basis function networks
Mai-Duy, N. and Tran-Cong, T.. 2008. "Solving 2D biharmonic equations by the Galerkin approach using integrated radial basis function networks." Vigo-Aguiar, J., Khanal, H., Garcia Guirao, I. J., Oharu, S. and Venturino, E. (ed.) 8th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE-2008). Murcia, Spain 13 - 17 Jun 2008 Murcia, Spain.RBF interpolation of boundary values in the BEM for heat transfer problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2003. "RBF interpolation of boundary values in the BEM for heat transfer problems." International Journal of Numerical Methods for Heat and Fluid Flow. 13 (5/6), pp. 611-632. https://doi.org/10.1108/09615530310482472A meshless IRBFN-based method for transient problems
Mai-Cao, L. and Tran-Cong, T.. 2005. "A meshless IRBFN-based method for transient problems." CMES Computer Modeling in Engineering and Sciences. 7 (2), pp. 149-171.An efficient indirect RBFN-based method for numerical solution of PDEs
Mai-Duy, Nam and Tran-Cong, Thanh. 2005. "An efficient indirect RBFN-based method for numerical solution of PDEs." Numerical Methods for Partial Differential Equations. 21 (4), pp. 770-790. https://doi.org/10.1002/num.20062Solving high-order partial differential equations with indirect radial basis function networks
Mai-Duy, N. and Tanner, R. I.. 2005. "Solving high-order partial differential equations with indirect radial basis function networks." International Journal for Numerical Methods in Engineering. 63 (11), pp. 1636-1654. https://doi.org/10.1002/nme.1332Solving high order ordinary differential equations with radial basis function networks
Mai-Duy, Nam. 2005. "Solving high order ordinary differential equations with radial basis function networks." International Journal for Numerical Methods in Engineering. 62 (6), pp. 824-852. https://doi.org/10.1002/nme.1220Computing non-Newtonian fluid flow with radial basis function networks
Mai-Duy, N. and Tanner, R. I.. 2005. "Computing non-Newtonian fluid flow with radial basis function networks." International Journal for Numerical Methods in Fluids. 48 (12), pp. 1309-1336. https://doi.org/10.1002/fld.977An effective RBFN-boundary integral approach for the analysis of natural convection flow
Mai-Duy, Nam and Tran-Cong, Thanh. 2004. "An effective RBFN-boundary integral approach for the analysis of natural convection flow." International Journal for Numerical Methods in Fluids. 46 (5), pp. 545-568. https://doi.org/10.1002/fld.769Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks
Mai-Duy, Nam and Tran-Cong, Thanh. 2001. "Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks." International Journal for Numerical Methods in Fluids. 37 (1), pp. 65-86. https://doi.org/10.1002/fld.165Numerical solution of differential equations using multiquadric radial basis function networks
Mai-Duy, Nam and Tran-Cong, Thanh. 2001. "Numerical solution of differential equations using multiquadric radial basis function networks." Neural Networks. 14 (2), pp. 185-199. https://doi.org/10.1016/S0893-6080(00)00095-2Approximation of function and its derivatives using radial basis function networks
Mai-Duy, Nam and Tran-Cong, Thanh. 2003. "Approximation of function and its derivatives using radial basis function networks." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 27 (3), pp. 197-220. https://doi.org/10.1016/S0307-904X(02)00101-4A new meshless RBF-based method for unsteady fluid flow analysis
Mai-Duy, N., Mai-Cao, L. and Tran-Cong, T.. 2006. "A new meshless RBF-based method for unsteady fluid flow analysis." Sladek, Jan and Sladek, Vladimir (ed.) Advances in meshless methods. USA. Tech Science Press. pp. 241-262A domain-type boundary-integral-equation method for two-dimensional biharmonic Dirichlet problem
Mai-Duy, N., Tran-Cong, T. and Tanner, R. I.. 2006. "A domain-type boundary-integral-equation method for two-dimensional biharmonic Dirichlet problem." Engineering Analysis with Boundary Elements. 30 (10), pp. 809-817. https://doi.org/10.1016/j.enganabound.2006.06.002Meshfree direct and indirect local radial basis function collocation formulations for transport phenomena
Sarler, Bozidar, Tran-Cong, Thanh and Chen, Ching S.. 2005. "Meshfree direct and indirect local radial basis function collocation formulations for transport phenomena." Kassab, Alain J., Brebbia, Carlos Alberto, Divo, E. and Poljak, Dragan (ed.) 27th World Conference on Boundary Elements and Other Mesh reduction Methods Incorporating Engineering and Electromagnetics (BEM XXVII). Orlando, United States 15 - 18 Mar 2005 Southampton, United Kingdom.Spinning CNT based composite yarns using a dry spinning process
Tran, Canh-Dung, Smith, Shaun M., Higgerson, G., Bui, Anh, Randeniya, Lakshman K. and Tran-Cong, Thanh. 2010. "Spinning CNT based composite yarns using a dry spinning process." Dzurak, Andrew (ed.) 2010 International Conference on Nanoscience and Nanotechnology (ICONN 2010). Sydney, Australia 22 - 26 Feb 2010 Piscataway, NJ. United States. https://doi.org/10.1109/ICONN.2010.6045159Compact local integrated-RBF approximations for second-order elliptic differential problems
Mai-Duy, N. and Tran-Cong, T.. 2011. "Compact local integrated-RBF approximations for second-order elliptic differential problems." Journal of Computational Physics. 230 (12), pp. 4772-4794. https://doi.org/10.1016/j.jcp.2011.03.002Element-free simulation of dilute polymeric flows using Brownian configuration fields
Tran, Canh-Dung and Tran-Cong, Thanh. 2004. "Element-free simulation of dilute polymeric flows using Brownian configuration fields." Korea-Australia Rheology Journal. 16 (1), pp. 1-15.Kinetics of in situ epoxidation of hemp oil under heterogeneous reaction conditions: an overview with preliminary results
Cooney, T. I., Cardona, F. and Tran-Cong, T.. 2011. "Kinetics of in situ epoxidation of hemp oil under heterogeneous reaction conditions: an overview with preliminary results." Cowled, Craig J. L. (ed.) 1st International Postgraduate Conference on Engineering, Designing and Developing the Built Environment for Sustainable Wellbeing (eddBE 2011). Brisbane, Australia 27 - 29 Apr 2011 Brisbane, Australia.A simple and effective preconditioner for integrated-RBF-based Cartesian-grid schemes
Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A simple and effective preconditioner for integrated-RBF-based Cartesian-grid schemes." Pepper, D. W. and Atluri, Satya N. (ed.) 2010 International Conference on Computational and Experimental Engineering & Sciences 2010. Las Vegas, United States of America 28 Mar - 01 Apr 2010 USA. https://doi.org/10.3970/icces.2010.014.051Computation of viscoelastic flow using neural networks and stochastic simulation
Tran, Canh-Dung and Tran-Cong, Thanh. 2002. "Computation of viscoelastic flow using neural networks and stochastic simulation." Korea-Australia Rheology Journal. 14 (4), pp. 161-174.BEM-NN computation of generalised Newtonian flows
Tran, Canh-D. and Tran-Cong, T.. 2002. "BEM-NN computation of generalised Newtonian flows." Engineering Analysis with Boundary Elements. 26 (1), pp. 15-28. https://doi.org/10.1016/S0955-7997(01)00085-6Computation of dilute polymer solution flows using BCF-RBFN based method and domain decomposition technique
Tran, Canh-Dung, Phillips, David G. and Tran-Cong, Thanh. 2009. "Computation of dilute polymer solution flows using BCF-RBFN based method and domain decomposition technique." Korea-Australia Rheology Journal. 21 (1), pp. 1-12.Towards an analysis of shear suspension flows using radial basis functions
Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2010. "Towards an analysis of shear suspension flows using radial basis functions." CMES Computer Modeling in Engineering and Sciences. 67 (3), pp. 265-294. https://doi.org/10.3970/cmes.2010.067.265A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems
Le-Cao, K., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2010. "A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems." Khalili, N., Valliappan, S., Li, Q. and Russell, A. (ed.) 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010). Sydney, Australia 19 - 23 Jul 2010 United Kingdom. Informa UK(IOP Books). https://doi.org/10.1088/1757-899X/10/1/012021Galerkin/collocation methods based on 1D-integrated-RBFNs for viscoelastic flows
Ho-Minh, D., Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "Galerkin/collocation methods based on 1D-integrated-RBFNs for viscoelastic flows." CMES Computer Modeling in Engineering and Sciences. 70 (3), pp. 217-251. https://doi.org/10.3970/cmes.2010.070.217A Cartesian-grid integrated-RBF Galerkin technique
Ho-Minh, D., Mai-Duy, N. and Tran-Cong, T.. 2010. "A Cartesian-grid integrated-RBF Galerkin technique." Sarler, Bozidar and Atluri, Satya N. (ed.) Recent studies in meshless and other novel computational methods. Duluth, GA. USA. Tech Science Press. pp. 87-102A numerical scheme based on local integrated RBFNs and Cartesian grids for solving second-order elliptic problems in two dimensions
Mai-Duy, N. and Tran-Cong, T.. 2010. "A numerical scheme based on local integrated RBFNs and Cartesian grids for solving second-order elliptic problems in two dimensions." Sarler, Bozidar and Atluri, Satya N. (ed.) Recent studies in meshless and other novel computational methods. Duluth, GA. United States. Tech Science Press. pp. 17-33A numerical study of 2D integrated RBFNs incorporating Cartesian grids for solving 2D elliptic differential problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A numerical study of 2D integrated RBFNs incorporating Cartesian grids for solving 2D elliptic differential problems." Numerical Methods for Partial Differential Equations. 26 (6), pp. 1443-1462. https://doi.org/10.1002/num.20502Dynamic simulation of non-spherical particulate suspensions
Kittipoomwong, Prakorn, See, Howard and Mai-Duy, Nam. 2010. "Dynamic simulation of non-spherical particulate suspensions." Rheologica Acta: an international journal of rheology. 49 (6), pp. 597-606. https://doi.org/10.1007/s00397-009-0412-6A moving IRBFN-based integration-free meshless method
Le, Phong B. H., Rabczuk, Timon, Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A moving IRBFN-based integration-free meshless method." CMES Computer Modeling in Engineering and Sciences. 61 (1), pp. 63-109. https://doi.org/10.3970/cmes.2010.061.063A moving IRBFN-based Galerkin meshless method
Le, Phong B. H., Rabczuk, Timon, Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A moving IRBFN-based Galerkin meshless method." CMES Computer Modeling in Engineering and Sciences. 66 (1), pp. 25-52. https://doi.org/10.3970/cmes.2010.066.025A control volume technique based on integrated RBFNs for the convection-diffusion equation
Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "A control volume technique based on integrated RBFNs for the convection-diffusion equation." Numerical Methods for Partial Differential Equations. 26 (2), pp. 426 -447. https://doi.org/10.1002/num.20444A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems
Le, Phong B. H., Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2010. "A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems." International Journal for Numerical Methods in Engineering. 82 (4), pp. 435-463. https://doi.org/10.1002/nme.2771Simulation of fluid flows at high Reynolds/Rayleigh numbers using integrated radial basis functions
Ho-Minh, D., Le-Cao, K., Mai-Duy, N. and Tran-Cong, T.. 2010. "Simulation of fluid flows at high Reynolds/Rayleigh numbers using integrated radial basis functions." Mallinson, G. D. and Cater, J. E. (ed.) 17th Australasian Fluid Mechanics Conference (AFMC 2010). Auckland, New Zealand 05 - 09 Dec 2010 Auckland, New Zealand.Point-wise integrated-RBF-based discretisation of differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2010. "Point-wise integrated-RBF-based discretisation of differential equations." Lu, Jane Wei-Zhen, Leung, Andrew Y. T., Lu, Vai Pan and Mok, Kai Meng (ed.) 2nd International Symposium on Computational Mechanics (ISCM II) in conjunction with EPMESC 2009. Hong Kong, China 30 Nov - 03 Dec 2009 College Park, MD. United States. AIP Publishing. https://doi.org/10.1063/1.3452151A cartesian-grid integrated-RBF method for viscoelastic flows
Ho-Minh, D., Mai-Duy, N. and Tran-Cong, T.. 2010. "A cartesian-grid integrated-RBF method for viscoelastic flows." Khalili, N., Valliappan, S., Li, Q. and Russell, A. (ed.) 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010). Sydney, Australia 19 - 23 Jul 2010 Bristol, United Kingdom. Informa UK(IOP Books). https://doi.org/10.1088/1757-899X/10/1/012210An upwind control-volume method based on integrated RBFs for fluid-flow problems
Mai-Duy, N. and Tran-Cong, T.. 2010. "An upwind control-volume method based on integrated RBFs for fluid-flow problems." Khalili, N., Valliappan, S., Li, Q. and Russell, A. (ed.) 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010). Sydney, Australia 19 - 23 Jul 2010 Bristol, United Kingdom. Informa UK(IOP Books). https://doi.org/10.1088/1757-899X/10/1/012023Integrated-RBF network method for free vibration analysis of laminated composite plates
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2010. "Integrated-RBF network method for free vibration analysis of laminated composite plates." Khalili, N., Valliappan, S., Li, Q. and Russell, A. (ed.) 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010). Sydney, Australia 19 - 23 Jul 2010 Bristol, United Kingdom. Informa UK(IOP Books). https://doi.org/10.1088/1757-899X/10/1/012236An efficient BEM for numerical solution of the biharmonic boundary value problem
Mai-Duy, N. and Tanner, R. I.. 2004. "An efficient BEM for numerical solution of the biharmonic boundary value problem." Atluri, Satya N. and Tadeu, Antonia J. B. (ed.) International Conference on Computational and Experimental Engineering & Sciences (ICCES 2004): Advances in Computational & Experimental Engineering & Sciences. Madeira, Portugal 26 - 29 Jul 2004 Duluth, GA. United States.A Cartesian-grid discretisation scheme based on local integrated RBFNs for two-dimensional elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "A Cartesian-grid discretisation scheme based on local integrated RBFNs for two-dimensional elliptic problems." CMES Computer Modeling in Engineering and Sciences. 51 (3), pp. 213-238. https://doi.org/10.3970/cmes.2009.051.213On the use of integrated radial basis function schemes in weighted residuals statements for elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "On the use of integrated radial basis function schemes in weighted residuals statements for elliptic problems." Brebbia, Carlos A. (ed.) 31st International Conference on Boundary Elements and Other Mesh Reduction Methods (BEM/MRM 31). New Forest, United Kingdom 02 - 04 Sep 2009 Southampton, United Kingdom. https://doi.org/10.2495/BE090161An improved quadrilateral flat element with drilling degrees of freedom for shell structural analysis
Nguyen-Van, Hieu, Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "An improved quadrilateral flat element with drilling degrees of freedom for shell structural analysis." CMES Computer Modeling in Engineering and Sciences. 49 (2), pp. 81-110. https://doi.org/10.3970/cmes.2009.049.081Numerical analysis of corrugated tube flow using RBFNs
Mai-Duy, Nam and Tanner, Roger I.. 2004. "Numerical analysis of corrugated tube flow using RBFNs." Lee, Jae Wook and Lee, Seung Jong (ed.) 14th International Congress on Rheology. Seoul, Korea 22 - 27 Aug 2004 Seoul, Korea.An effective spectral collocation method for the direct solution of high-order ODEs
Mai-Duy, Nam. 2006. "An effective spectral collocation method for the direct solution of high-order ODEs." Communications in Numerical Methods in Engineering. 22 (6), pp. 627-642. https://doi.org/10.1002/cnm.841Indirect RBFN method with scattered points for numerical solution of PDEs
Mai-Duy, Nam. 2004. "Indirect RBFN method with scattered points for numerical solution of PDEs." CMES Computer Modeling in Engineering and Sciences. 6 (2), pp. 209-226.An effective high order interpolation scheme in BIEMs for biharmonic boundary value problems
Mai-Duy, N. and Tanner, R. I.. 2005. "An effective high order interpolation scheme in BIEMs for biharmonic boundary value problems." Engineering Analysis with Boundary Elements. 29 (3), pp. 210-223. https://doi.org/10.1016/j.enganabound.2005.01.005Integrated radial-basis-function networks for computing Newtonian and non-Newtonian fluid flows
Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "Integrated radial-basis-function networks for computing Newtonian and non-Newtonian fluid flows." Computers and Structures. 87 (11-12), pp. 642-650. https://doi.org/10.1016/j.compstruc.2008.09.004Energy analysis of hydraulic fracturing
Golshani, Aliakbar and Tran-Cong, Thanh. 2009. "Energy analysis of hydraulic fracturing." KSCE Journal of Civil Engineering. 13 (4), pp. 219-224. https://doi.org/10.1007/s12205-009-0219-0An effective integrated-RBFN Cartesian-grid discretization for the stream function-vorticity-temperature formulation in nonrectangular domains
Le-Cao, K., Mai-Duy, N. and Tran-Cong, T.. 2009. "An effective integrated-RBFN Cartesian-grid discretization for the stream function-vorticity-temperature formulation in nonrectangular domains." Numerical Heat Transfer Part B: Fundamentals. 55 (6), pp. 480-502. https://doi.org/10.1080/10407790902827470An integrated-RBF technique based on Galerkin formulation for elliptic differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "An integrated-RBF technique based on Galerkin formulation for elliptic differential equations." Engineering Analysis with Boundary Elements. 33 (2), pp. 191-199. https://doi.org/10.1016/j.enganabound.2008.05.001A Galerkin-RBF approach for the streamfunction-vorticity-temperature formulation of natural convection in 2D enclosured domains
Ho-Minh, D., Mai-Duy, Nam and Tran-Cong, Thanh. 2009. "A Galerkin-RBF approach for the streamfunction-vorticity-temperature formulation of natural convection in 2D enclosured domains." CMES Computer Modeling in Engineering and Sciences. 44 (3), pp. 219-248. https://doi.org/10.3970/cmes.2009.044.219A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains
Mai-Duy, Nam, See, Howard and Tran-Cong, Thanh. 2009. "A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 33 (1), pp. 284-299. https://doi.org/10.1016/j.apm.2007.11.002A Galerkin approach incorporating integrated radial basis function networks for the solution of 2D biharmonic equations
Mai-Duy, Nam, Ho-Minh, D. and Tran-Cong, Thanh. 2009. "A Galerkin approach incorporating integrated radial basis function networks for the solution of 2D biharmonic equations." International Journal of Computer Mathematics. 86 (10-11), pp. 1746-1759. https://doi.org/10.1080/00207160802647365Investigation of a hydraulic impact: a technology in rock breaking
Genet, Martin, Yan, Wenyi and Tran-Cong, Thanh. 2009. "Investigation of a hydraulic impact: a technology in rock breaking." Archive of Applied Mechanics. 79 (9), pp. 825-841. https://doi.org/10.1007/s00419-008-0256-zAutomated carbon dioxide measurement via miniaturised chemical reaction chambers under mechatronic control
Maxwell, Andrew, Hancock, Nigel and Tran-Cong, Thanh. 2000. "Automated carbon dioxide measurement via miniaturised chemical reaction chambers under mechatronic control." Billingsley, John (ed.) Mechatronics and machine vision. Baldock, United Kingdom. Research Studies Press. pp. 135-142A meshless technique based on integrated radial basis function networks for elliptic partial differential equations
Mai-Duy, N. and Tran-Cong, T.. 2008. "A meshless technique based on integrated radial basis function networks for elliptic partial differential equations." Griebel, Michael and Schweitzer, Marc Alexander (ed.) 4th International Workshop on Meshfree Methods for Partial Differential Equations. Bonn, Germany 17 - 20 Sep 2007 Berlin, Germany. https://doi.org/10.1007/978-3-540-79994-8_9On the use of integrated RBFs in Galerkin approximation for elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "On the use of integrated RBFs in Galerkin approximation for elliptic problems." Skerget, Leopold and Brebbia, Carlos A. (ed.) BEM/MRM 30: 30th International Conference on Boundary Elements and Other Mesh Reduction Methods. Maribor, Slovenia 07 - 09 Jul 2008 Southampton, United Kingdom. https://doi.org/10.2495/BE080171An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations
Mai-Duy, N. and Tran-Cong, T.. 2008. "An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations." Alvarez, Matias P. (ed.) Leading-edge applied mathematical modeling research. New York, NY. United States. Nova Science Publishers. pp. 215-250A multidomain integrated-radial-basis-function collocation method for elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A multidomain integrated-radial-basis-function collocation method for elliptic problems." Numerical Methods for Partial Differential Equations. 24 (5), pp. 1301-1320. https://doi.org/10.1002/num.20319Free vibration analysis of laminated plate/shell structures based on FSDT with a stabilized nodal-integrated quadrilateral element
Nguyen-Van, H., Mai-Duy, N. and Tran-Cong, T.. 2008. "Free vibration analysis of laminated plate/shell structures based on FSDT with a stabilized nodal-integrated quadrilateral element." Journal of Sound and Vibration. 313 (1-2), pp. 205-223. https://doi.org/10.1016/j.jsv.2007.11.043Nodal integration finite element techniques for analysis of piezoelectric solids
Nguyen-Van, Hieu, Le, Thong, Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "Nodal integration finite element techniques for analysis of piezoelectric solids." 2008 International Conference on Computational Solid Mechanics (CSM2008). Ho Chi Minh City, Vietnam 27 - 30 Nov 2008 Ho Chi Minh City, Vietnam.Simulation of hydraulic fracturing in brittle rocks
Golshani, Aliakbar and Tran-Cong, Thanh. 2008. "Simulation of hydraulic fracturing in brittle rocks." Majdi, Abass and Ghazvinian, Abdolhadi (ed.) ISRM International Symposium 2008: 5th Asian Rock Mechanics Symposium. Tehran, Iran 24 - 26 Nov 2008 Iran.An integral-collocation-based fictitious-domain technique for solving elliptic problems
Mai-Duy, Nam, See, Howard and Tran-Cong, Thanh. 2008. "An integral-collocation-based fictitious-domain technique for solving elliptic problems." Communications in Numerical Methods in Engineering. 24 (11), pp. 1291-1314. https://doi.org/10.1002/cnm.1033A point-collocation method based on integrated Chebyshev polynomials for elliptic differential equations in irregular domains
Mai-Duy, N. and Tran-Cong, T.. 2008. "A point-collocation method based on integrated Chebyshev polynomials for elliptic differential equations in irregular domains." Schrefler, B. A. and Perego, U. (ed.) 8th World Congress on Computational Mechanics (WCCM8), and 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008). Venice, Italy 30 Jun - 04 Jul 2008 Barcelona, Spain.A multidomain integrated RBF collocation method for elliptic differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A multidomain integrated RBF collocation method for elliptic differential equations." Schrefler, B. A. and Perego, U. (ed.) 8th World Congress on Computational Mechanics (WCCM8), and 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008). Venice, Italy 30 Jun - 04 Jul 2008 Barcelona, Spain.An efficient domain-decomposition pseudo-spectral method for solving elliptic differential equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "An efficient domain-decomposition pseudo-spectral method for solving elliptic differential equations." Communications in Numerical Methods in Engineering. 24 (10), pp. 795-806. https://doi.org/10.1002/cnm.987A node-based element for analysis of planar piezoelectric structures
Nguyen-Van, Hieu, Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A node-based element for analysis of planar piezoelectric structures." CMES Computer Modeling in Engineering and Sciences. 36 (1), pp. 65-95. https://doi.org/10.3970/cmes.2008.036.065A meshless modeling of dynamic strain localization in quasi-brittle materials using radial basis function networks
Le, P., Mai-Duy, N., Tran-Cong, T. and Baker, G.. 2008. "A meshless modeling of dynamic strain localization in quasi-brittle materials using radial basis function networks." CMES Computer Modeling in Engineering and Sciences. 25 (1), pp. 43-67. https://doi.org/10.3970/cmes.2008.025.043A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems
Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 32 (12), pp. 2851-2862. https://doi.org/10.1016/j.apm.2007.10.003Energy analysis of hydraulic fracturing
Golshani, Aliakbar and Tran-Cong, Thanh. 2008. "Energy analysis of hydraulic fracturing." Singh, D. N., Carter, J., Desai, C. S., Dolezalova, M., Gioda, G., Madhav, M. R., Oka, F., Vanapalli, S., Yin, J. H. and Zaman, M. M. (ed.) 12th International Conference of IACMAG. Goa, India 01 - 06 Oct 2008 India.A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures
Nguyen-Van, Hieu, Mai-Duy, Nam and Tran-Cong, Thanh. 2008. "A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures." CMES Computer Modeling in Engineering and Sciences. 23 (3), pp. 209-222. https://doi.org/10.3970/cmes.2008.023.209A meshless approach to capturing moving interfaces in passive transport problems
Mai-Cao, L. and Tran-Cong, T.. 2008. "A meshless approach to capturing moving interfaces in passive transport problems." CMES Computer Modeling in Engineering and Sciences. 31 (3), pp. 157-188. https://doi.org/10.3970/cmes.2008.031.157Impact on a water filled cylinder
Golshani, Aliakbar, Tran-Cong, Thanh and Buttsworth, David. 2008. "Impact on a water filled cylinder." Ashida, Fumihiro and Sakata, Sei-ichiro (ed.) ACMFMS 2008: Asian Conference on Mechanics of Functional Materials and Structures. Matsue, Japan 31 Oct - 03 Nov 2008 Japan.A Cartesian grid technique based on one-dimensional integrated radial basis function networks for natural convection in concentric annuli
Mai-Duy, Nam, Le-Cao, Khoa and Tran-Cong, Thanh. 2008. "A Cartesian grid technique based on one-dimensional integrated radial basis function networks for natural convection in concentric annuli." International Journal for Numerical Methods in Fluids. 57 (12), pp. 1709-1730. https://doi.org/10.1002/fld.1675A RBF-based fictitious-domain technique for Dirichlet boundary value problems in multiply-connected domains
Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "A RBF-based fictitious-domain technique for Dirichlet boundary value problems in multiply-connected domains." Yagawa, G., Iu, V. P., Kashiyama, K., Miyazaki, N., Arantes e Oliveira, E., Valliappan, S., Yabe, T. and Yuan, M. W. (ed.) 3rd Asian-Pacific Congress on Computational Mechanics (APCOM'07) and EPMESC XI. Kyoto, Japan 03 - 06 Dec 2007 Japan.A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2007. "A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials." Taylor, R. L., Papadopoulos, P. and Zohdi, T. I. (ed.) USNCCM9: 9th US National Congress on Computational Mechanics. San Francisco, United States 22 - 26 Jul 2007 Austin, TX. United States.Timoshenko beam-solution in terms of integrated radial basis functions
Khennane, Amar and Tran-Cong, Thanh. 2007. "Timoshenko beam-solution in terms of integrated radial basis functions." Veidt, Martin, Albermani, Faris, Daniel, Bill, Griffiths, John, Hargreaves, Doug, McAree, Ross, Meehan, Paul and Tan, Andy (ed.) 5th Australasian Congress on Applied Mechanics (ACAM 2007). Brisbane, Australia 10 - 12 Dec 2007 Sydney, Australia.A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
Mai-Duy, Nam and Tanner, Roger I.. 2007. "A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems." Journal of Computational and Applied Mathematics. 201 (1), pp. 30-47. https://doi.org/10.1016/j.cam.2006.01.030A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs
Mai-Duy, N. and Tanner, R. I.. 2007. "A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs." International Journal of Numerical Methods for Heat and Fluid Flow. 17 (2), pp. 165-186. https://doi.org/10.1108/09615530710723948Solving partial differential equations with point collocation and one-dimensional integrated interpolation schemes
Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "Solving partial differential equations with point collocation and one-dimensional integrated interpolation schemes." Han, Z., Lee, S. W. and Nakagaki, M. (ed.) 14th International Conference on Computational & Experimental Engineering and Sciences. Miami, Florida, USA 01 - 03 Jan 2007 United States.Computation of laminated composite plates using integrated radial basis function networks
Mai-Duy, Nam, Khennane, Amar and Tran-Cong, Thanh. 2007. "Computation of laminated composite plates using integrated radial basis function networks." Computers, Materials and Continua. 5 (1), pp. 63-77. https://doi.org/10.3970/cmc.2007.005.063A numerical study of strain localization in elasto-thermo-viscoplastic materials using radial basis function networks
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2007. "A numerical study of strain localization in elasto-thermo-viscoplastic materials using radial basis function networks." Computers, Materials and Continua. 5 (2), pp. 129-150. https://doi.org/10.3970/cmc.2007.005.129A simple and accurate four-node quadrilateral element using stabilized nodal integration for laminated plates
Nguyen-Van, Hieu, Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "A simple and accurate four-node quadrilateral element using stabilized nodal integration for laminated plates." Computers, Materials and Continua. 6 (3), pp. 159-176. https://doi.org/10.3970/cmc.2007.006.159Computation of transient viscous flows using indirect radial basis function networks
Mai-Duy, Nam, Mai-Cao, Lan and Tran-Cong, Thanh. 2007. "Computation of transient viscous flows using indirect radial basis function networks." CMES Computer Modeling in Engineering and Sciences. 18 (1), pp. 59-78. https://doi.org/10.3970/cmes.2007.018.059A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains
Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains." Numerical Methods for Partial Differential Equations. 23 (5), pp. 1192-1210. https://doi.org/10.1002/num.20217Analysis of laminated composite plate/shell structures using a stabilized nodal-integrated quadrilateral element
Nguyen-Van, Hieu, Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "Analysis of laminated composite plate/shell structures using a stabilized nodal-integrated quadrilateral element." Mendis, P. A., Cao, D. T. and Ngo, T. (ed.) 1st International Conference on Modern Design, Construction & Maintenance of Structures. Hanoi, Vietnam 10 - 11 Dec 2007 Hanoi, Vietnam.Analysis of viscoelastic flow by a radial basis function networks method
Ho-Minh, D., Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "Analysis of viscoelastic flow by a radial basis function networks method." Jacobs, Peter A., McIntyre, Tim, Cleary, Matthew J., Buttsworth, David R., Mee, David, Clements, Rose, Morgan, Richard and Lemckert, Charles (ed.) 16th Australasian Fluid Mechanics Conference (AFMC 2007). Gold Coast, Australia 03 - 07 Dec 2007 Brisbane, Australia.Radial-basis-function calculations of buoyancy-driven flow in concentric and eccentric annuli
Le-Cao, Khoa, Mai-Duy, Nam and Tran-Cong, Thanh. 2007. "Radial-basis-function calculations of buoyancy-driven flow in concentric and eccentric annuli." Jacobs, Peter A., McIntyre, Tim, Cleary, Matthew J., Buttsworth, David R., Mee, David, Clements, Rose, Morgan, Richard and Lemckert, Charles (ed.) 16th Australasian Fluid Mechanics Conference (AFMC 2007). Gold Coast, Australia 03 - 07 Dec 2007 Brisbane, Australia.Boundary integral-based domain decomposition technique for solution of Navier Stokes equations
Mai-Duy, N. and Tran-Cong, T.. 2004. "Boundary integral-based domain decomposition technique for solution of Navier Stokes equations." CMES Computer Modeling in Engineering and Sciences. 6 (1), pp. 59-75. https://doi.org/10.3970/cmes.2004.006.059Indirect RBFN method with thin plate splines for numerical solution of differential equations
Mai-Duy, N. and Tran-Cong, T.. 2003. "Indirect RBFN method with thin plate splines for numerical solution of differential equations." CMES Computer Modeling in Engineering and Sciences. 4 (1), pp. 85-102. https://doi.org/10.3970/cmes.2003.004.085BEM-RBF approach for viscoelastic flow analysis
Tran-Cong, T., Mai-Duy, N. and Phan-Thien, N.. 2002. "BEM-RBF approach for viscoelastic flow analysis." Engineering Analysis with Boundary Elements. 26 (9), pp. 757-762. https://doi.org/10.1016/S0955-7997(02)00041-3Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2002. "Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations." Engineering Analysis with Boundary Elements. 26 (2), pp. 133-156. https://doi.org/10.1016/S0955-7997(01)00092-3A fast convergent iterative boundary element method on PVM cluster
Mai-Duy, N., Nguyen-Hong, P. and Tran-Cong, T.. 1998. "A fast convergent iterative boundary element method on PVM cluster." Engineering Analysis with Boundary Elements. 22 (4), pp. 307-316. https://doi.org/10.1016/S0955-7997(98)00071-XAn improved boundary element method for analysis of profile polymer extrusion
Nguyen-Thien, T., Tran-Cong, T. and Phan-Thien, N.. 1997. "An improved boundary element method for analysis of profile polymer extrusion." Engineering Analysis with Boundary Elements. 20 (1), pp. 81-89.BEM-RBF approach for viscoelastic flow analysis
Tran-Cong, T., Mai-Duy, N. and Phan-Thien, N.. 2001. "BEM-RBF approach for viscoelastic flow analysis." Beskos, D., Brebbia, C., Katsikadelis, J. and Manolis, G. (ed.) 23rd International Conference on the Boundary Element Method (BEM 2001). Lemnos, Greece 07 - 09 May 2001 Southampton, Hants. United Kingdom. https://doi.org/10.2495/BE010301Non-contact extrudate profilometer: introductory paper
Taylor, Reginald, Hancock, Nigel and Tran-Cong, Thanh. 1997. "Non-contact extrudate profilometer: introductory paper." Werner, B. (ed.) 4th Annual Conference on Mechatronics and Machine Vision in Practice (MViP 1997). Toowoomba, Australia 23 - 25 Sep 1997 USA. https://doi.org/10.1109/MMVIP.1997.625315Autonomous LHD loading
Petty, Matt K., Billingsley, John and Tran-Cong, Thanh. 1997. "Autonomous LHD loading." Werner, Bob (ed.) 4th Annual Conference on Mechatronics and Machine Vision in Practice (MViP 1997). Toowoomba, Australia 23 - 25 Sep 1997 Los Alamitos, CA. United States. https://doi.org/10.1109/MMVIP.1997.625330A meshless level-set scheme for interfacial flows
Mai-Cao, L. and Tran-Cong, T.. 2006. "A meshless level-set scheme for interfacial flows." Nguyen, Son Q. and Nguyen, Dung (ed.) 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today. Ho Chi Minh City, Vietnam 11 - 14 Dec 2006 Paris, France.Modelling a borehole subjected to fluid pressure
Golshani, Aliakbar and Tran-Cong, Thanh. 2006. "Modelling a borehole subjected to fluid pressure." Nguyen, Son Q. and Nguyen, Dung (ed.) 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today. Ho Chi Minh City, Vietnam 11 - 14 Dec 2006 Paris, France.Monte-Carlo simulation of the durability of glass fibre reinforced composite under environmental stress corrosion
Nguyen-Van, Hieu, Khennane, Amar and Tran-Cong, Thanh. 2006. "Monte-Carlo simulation of the durability of glass fibre reinforced composite under environmental stress corrosion." Nguyen, Son Q. and Nguyen, Dung (ed.) 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today. Ho Chi Minh City, Vietnam 11 - 14 Dec 2006 Paris, France.A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2006. "A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension." Nguyen, Son Q. and Nguyen, Dung (ed.) 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today. Ho Chi Minh City, Vietnam 11 - 14 Dec 2006 Paris, France.A high-order time-kernel BIEM for the Burgers equation
Mai-Duy, Nam, Tran-Cong, Thanh and Tanner, R. I.. 2006. "A high-order time-kernel BIEM for the Burgers equation." Gatmiri, B., Sellier, A. and Aliabadi, M. H. (ed.) International Conference on Boundary Element Techniques VII. Paris, France 04 - 06 Sep 2006 Eastleigh, United Kingdom.A new high-order time-kernel BIEM for the Burgers equation
Mai-Duy, N., Tran-Cong, T. and Tanner, R. I.. 2006. "A new high-order time-kernel BIEM for the Burgers equation." CMES Computer Modeling in Engineering and Sciences. 16 (3), pp. 177-186. https://doi.org/10.3970/cmes.2006.016.177Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks
Mai-Duy, N. and Tran-Cong, T.. 2006. "Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks." Engineering Analysis with Boundary Elements. 30 (2), pp. 77-87. https://doi.org/10.1016/j.enganabound.2005.10.004Bounding the stability and rupture condition of emulsion and foam films
Coons, J., Halley, P., McGlashan, S. and Tran-Cong, T.. 2005. "Bounding the stability and rupture condition of emulsion and foam films." Chemical Engineering Research and Design. 83 (A7), pp. 915-925.Scaling laws for the critical rupture thickness of common thin films
Coons, J. E., Halley, P. J., McGlashan, S. A. and Tran-Cong, T.. 2005. "Scaling laws for the critical rupture thickness of common thin films." Colloids and Surfaces A: Physicochemical and Engineering Aspects. 263 (1-3), pp. 258-266. https://doi.org/10.1016/j.colsurfa.2005.01.008Bounding film drainage in common thin films
Coons, J. E., Halley, P. J., McGlashan, S. A. and Tran-Cong, T.. 2005. "Bounding film drainage in common thin films." Colloids and Surfaces A: Physicochemical and Engineering Aspects. 263 (1-3), pp. 197-204. https://doi.org/10.1016/j.colsurfa.2005.01.009Parallel meshfree TPSRBFN-BCF method for dilute polymer solution
Tran, CD and Tran-Cong, T.. 2003. "Parallel meshfree TPSRBFN-BCF method for dilute polymer solution." The 2nd Korean-Australian Rheology Conference 2003. Gyeongju , Korea 24 - 26 Sep 2003 Korea .Comparison of BEM-FFNN and BEM-RBFN methods for GNF flow analysis
Tran, C., Mai-Duy, N. and Tran-Cong, T.. 2000. "Comparison of BEM-FFNN and BEM-RBFN methods for GNF flow analysis." The XIIIth International Congress on Rheology. Cambridge, United Kingdom 20 - 25 Aug 2000 United Kingdom.This item comprises data from the following sources: Scopus