A Weak Galerkin Method for Elasticity Interface Problems

Chunmei Wang; Shangyou Zhang

A Weak Galerkin Method for Elasticity Interface Problems

Numerical Analysis 2021-12-14 v1 Numerical Analysis

Authors: Chunmei Wang , Shangyou Zhang

Abstract

This article introduces a weak Galerkin (WG) finite element method for linear elasticity interface problems on general polygonal/ployhedra partitions. The developed WG method has been proved to be stable and accurate with optimal order error estimates in the discrete $H^1$ norm. Some numerical experiments are conducted to verify the efficiency and accuracy of the proposed WG method.

Keywords

weak galerkin finite element methods galerkin methods discontinuous galerkin methods

Cite

@article{arxiv.2112.06411,
  title  = {A Weak Galerkin Method for Elasticity Interface Problems},
  author = {Chunmei Wang and Shangyou Zhang},
  journal= {arXiv preprint arXiv:2112.06411},
  year   = {2021}
}

Comments

17 pages, 7 figures

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