A weak Galerkin method for elasticity interface problems

This article introduces a weak Galerkin (WG) finite element method for linear elasticity interface problems on general polygonal/polyhedral partitions. The discrete weak divergence and gradient operators are discretized as polynomials and computed by solving inexpensive local problems on each elemen...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2023-02, Vol.419, p.114726, Article 114726
Main Authors: Wang, Chunmei, Zhang, Shangyou
Format: Article
Language:English
Subjects:
Elasticity interface problems
Finite element methods
Polygonal or polyhedral partition
Weak Galerkin
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Summary:This article introduces a weak Galerkin (WG) finite element method for linear elasticity interface problems on general polygonal/polyhedral partitions. The discrete weak divergence and gradient operators are discretized as polynomials and computed by solving inexpensive local problems on each element. The developed WG method has been proved to be stable and accurate with optimal order error estimates in the discrete H1 norm. Some numerical experiments are conducted to verify the efficiency and accuracy of the proposed WG method, in addition, and its uniform convergence independent of the jump of the interface coefficients and the incompressibility.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2022.114726