A Weak Galerkin Method for Elasticity Interface Problems
Chunmei Wang, Shangyou Zhang
TL;DR
This paper presents a weak Galerkin finite element method tailored for linear elasticity interface problems, demonstrating stability, accuracy, and optimal error estimates on complex polygonal partitions through theoretical analysis and numerical validation.
Contribution
The paper introduces a novel weak Galerkin method specifically designed for elasticity interface problems on general polygonal meshes, with proven stability and optimal error estimates.
Findings
Method is stable and accurate.
Achieves optimal order error estimates.
Numerical experiments confirm efficiency and accuracy.
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 norm. Some numerical experiments are conducted to verify the efficiency and accuracy of the proposed WG method.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Numerical methods in engineering · Numerical methods for differential equations