An improved quadrilateral flat element with drilling degrees of freedom for shell structural analysis

Article

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.2009.049.081

Article Title	An improved quadrilateral flat element with drilling degrees of freedom for shell structural analysis
ERA Journal ID	3460
Article Category	Article
Authors	Nguyen-Van, Hieu (Author), Mai-Duy, Nam (Author) and Tran-Cong, Thanh (Author)
Journal Title	CMES Computer Modeling in Engineering and Sciences
Journal Citation	49 (2), pp. 81-110
Number of Pages	30
Year	2009
Place of Publication	Forsyth, GA. United States
ISSN	1526-1492
	1526-1506
Digital Object Identifier (DOI)	https://doi.org/10.3970/cmes.2009.049.081
Web Address (URL)	http://www.techscience.com/doi/10.3970/cmes.2009.049.081.html
Abstract	This paper reports the development of a simple and efficient 4-node flat shell element with six degrees of freedom per node for the analysis of arbitrary shell structures. The element is developed by incorporating a strain smoothing technique into a flat shell finite element approach. The membrane part is formulated by applying the smoothing operation on a quadrilateral membrane element using Allman-type interpolation functions with drilling DOFs. The plate-bending component is established by a combination of the smoothed curvature and the substitute shear strain fields. As a result, the bending and a part of membrane stiffness matrices are computed on the boundaries of smoothing cells which leads to very accurate solutions, even with distorted meshes, and possible reduction in computational cost. The performance of the proposed element is validated and demonstrated through several numerical benchmark problems. Convergence studies and comparison with other existing solutions in the literature suggest that the present element is efficient, accurate and free of lockings.
Keywords	flat shell; strain smoothing method; shear-locking free; first-order shear deformation theory; drilling degrees of freedom
ANZSRC Field of Research 2020	400510. Structural engineering
	401706. Numerical modelling and mechanical characterisation
Byline Affiliations	Computational Engineering and Science Research Centre

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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.2011.006.077

A 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.2013.03.013

Computation 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-wccm2012-19433

Modeling 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/BE120011

A 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.2012.089.189

RBF-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.2012.089.303

Local 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.2012.083.311

Local 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.2012.083.275

A 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.2012.085.499

Processing 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.2012.084.528

A 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.2012.083.459

Local 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.3640

Several 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.2012.084.171

Simulation 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/M10-719.2012.9.2

Moving 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/BE110271

IRBFN-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/BE110211

Numerical 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.2010.11.027

An 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.2011.082.137

Manufacturing 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/10.1088/0957-4484/22/14/145302

Compact 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/10.1080/14484846.2011.11464606

A 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.2011.079.223

High-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.2011.080.141

A 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.2011.072.299

Buckling 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.2011.01.005

Free 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.2010.07.012

A 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.2477

Development and application of assumed strain smoothing finite element technique for composite plate/shell structures

Nguyen-Van, Hieu. 2009. Development and application of assumed strain smoothing finite element technique for composite plate/shell structures. 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/10.1108/09615530310482472

A 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.20062

Solving 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.1332

Solving 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.1220

Computing 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.977

An 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.769

Numerical 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.165

Numerical 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)00095-2

Approximation 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)00101-4

A 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. 241-262

A 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.2006.06.002

Meshfree 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.2010.6045159

Compact 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.2011.03.002

Element-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.2010.014.051

Computation 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)00085-6

Computation 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.2010.067.265

A 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. IOP Publishing. https://doi.org/10.1088/1757-899X/10/1/012021

Galerkin/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.2010.070.217

A 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. 87-102

A 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. 17-33

A 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.20502

Dynamic 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/s00397-009-0412-6

A 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.2010.061.063

A 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.2010.066.025

A 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.20444

A 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.2771

Simulation 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/10.1063/1.3452151

A 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. IOP Publishing. https://doi.org/10.1088/1757-899X/10/1/012210

An 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. IOP Publishing. https://doi.org/10.1088/1757-899X/10/1/012023

Integrated-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. IOP Publishing. https://doi.org/10.1088/1757-899X/10/1/012236

An 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.2009.051.213

On 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/BE090161

Numerical 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.841

Indirect 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.2005.01.005

Integrated 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.2008.09.004

Energy 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/s12205-009-0219-0

An 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/10.1080/10407790902827470

An 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.2008.05.001

A 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.2009.044.219

A 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.2007.11.002

A 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/10.1080/00207160802647365

Investigation 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-z

Automated 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. 135-142

A 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_9

On 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/BE080171

An 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. 215-250

A 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.20319

Free 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.2007.11.043

Nodal 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.1033

A 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.987

A 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.2008.036.065

A 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.2008.025.043

A 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.2007.10.003

Energy 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.2008.023.209

A 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.2008.031.157

Impact 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.1675

A 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.2006.01.030

A 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/10.1108/09615530710723948

Solving 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.2007.005.063

A 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.2007.005.129

A 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.2007.006.159

Computation 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.2007.018.059

A 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.20217

Analysis 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.2004.006.059

Indirect 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.2003.004.085

BEM-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)00041-3

Mesh-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)00092-3

A 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-X

An 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/BE010301

Non-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.1997.625315

Autonomous 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.1997.625330

A 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.2006.016.177

Solving 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.2005.10.004

Bounding 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.2005.01.008

Bounding 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.2005.01.009

Parallel 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.