A novel meshless approach – Local Kriging (LoKriging) method with two-dimensional structural analysis

Article

Lam, K. Y., Wang, Q. X. and Li, Hua. 2003. "A novel meshless approach – Local Kriging (LoKriging) method with two-dimensional structural analysis." Computational Mechanics. 33 (3), pp. 235-244. https://doi.org/10.1007/s00466-003-0524-2
Article Title

A novel meshless approach – Local Kriging (LoKriging) method with two-dimensional structural analysis

ERA Journal ID3732
Article CategoryArticle
AuthorsLam, K. Y. (Author), Wang, Q. X. (Author) and Li, Hua (Author)
Journal TitleComputational Mechanics
Journal Citation33 (3), pp. 235-244
Number of Pages10
Year2003
Place of PublicationGermany
ISSN0178-7675
1432-0924
Digital Object Identifier (DOI)https://doi.org/10.1007/s00466-003-0524-2
Web Address (URL)https://link.springer.com/article/10.1007/s00466-003-0524-2
Abstract

This paper develops a novel meshless approach, called Local Kriging (LoKriging) method, which is based on the local weak form of the partial differential governing equations and employs the Kriging interpolation to construct the meshless shape functions. Since the shape functions constructed by this interpolation have the delta function property based on the randomly distributed points, the essential boundary conditions can be implemented easily. The local weak form of the partial differential governing equations is obtained by the weighted residual method within the simple local quadrature domain. The spline function with high continuity is used as the weight function. The presently developed LoKriging method is a truly meshless method, as it does not require the mesh, either for the construction of the shape functions, or for the integration of the local weak form. Several numerical examples of two-dimensional static structural analysis are presented to illustrate the performance of the present LoKriging method. They show that the LoKriging method is highly efficient for the implementation and highly accurate for the computation.

KeywordsKriging interpolation; Local weak form; Meshless method; Numerical computation; Structural analysis
ANZSRC Field of Research 2020401706. Numerical modelling and mechanical characterisation
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Byline AffiliationsInstitute of High Performance Computing, Singapore
Institution of OriginUniversity of Southern Queensland
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