Wilson non-conforming element in numerical manifold method

Yung Ming Cheng; Y. H. Zhang; W. S. Chen

doi:10.1002/cnm.545

Wilson non-conforming element in numerical manifold method

Yung Ming Cheng, Y. H. Zhang, W. S. Chen

Research output: Journal article publication › Journal article › Academic research › peer-review

19 Citations (Scopus)

Abstract

Numerical manifold method (NMM) by Shi tries to unify the solution of problems in both continuous and discontinuous domains. Presently, NMM is commonly adopted on finite triangular and quadrilateral covers and the shape functions used in classical finite element analysis are also commonly adopted in manifold analysis. In this paper, the Wilson non-conforming element is used in quadrilateral covers. The corresponding matrices of equilibrium equations are derived and a cantilever slab is considered. The results from the use of non-conforming element in NMM are in good agreement with theoretical solution as compared with the classical Q4 isoparametric element.

Original language	English
Pages (from-to)	877-884
Number of pages	8
Journal	Communications in Numerical Methods in Engineering
Volume	18
Issue number	12
DOIs	https://doi.org/10.1002/cnm.545
Publication status	Published - 1 Dec 2002

Keywords

Cover functions
Cover weight functions
Isoparametric element
Manifold method

ASJC Scopus subject areas

Software
Modelling and Simulation
General Engineering
Computational Theory and Mathematics
Applied Mathematics

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10.1002/cnm.545

Cite this

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AB - Numerical manifold method (NMM) by Shi tries to unify the solution of problems in both continuous and discontinuous domains. Presently, NMM is commonly adopted on finite triangular and quadrilateral covers and the shape functions used in classical finite element analysis are also commonly adopted in manifold analysis. In this paper, the Wilson non-conforming element is used in quadrilateral covers. The corresponding matrices of equilibrium equations are derived and a cantilever slab is considered. The results from the use of non-conforming element in NMM are in good agreement with theoretical solution as compared with the classical Q4 isoparametric element.

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Wilson non-conforming element in numerical manifold method

Abstract

Keywords

ASJC Scopus subject areas

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