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Research Article Open access CC BY 4.0

An Extended Finite Element Method for the Elasticity Interface Problem

Pei Cao

Journal of Advances in Mathematics and Computer Science · pp. 67–82 · Published 12 Apr 2022

10.9734/jamcs/2022/v37i230437

Abstract

In this paper, we propose an extended mixed finite element method for elasticity interface problems based on Mini finite element space. The stabilization term defined on edges of interface elements and the ghost penalty term are added, which ensures that the discrete inf-sup condition holds independent of how the interface intersects the triangulation. Finally, numerical experiments are carried out to verify the theoretical analysis.

Elasticity interface problem extended mixed finite element method optimal a priori error estimates estimates of condition number

Cited by 1

A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems

Qiushuo Qin, Lina Song, Fan Liu · Computers and Mathematics with Applications · 2023

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