Open AccessAn Extended Finite Element Method for the Elasticity Interface Problem
Author(s) -
Pei Cao
Publication year - 2022
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2022/v37i230437
Subject(s) - finite element method , elasticity (physics) , interface (matter) , mixed finite element method , term (time) , triangulation , interface model , extended finite element method , mathematics , computer science , mathematical analysis , algorithm , mathematical optimization , geometry , structural engineering , physics , engineering , materials science , parallel computing , composite material , bubble , quantum mechanics , human–computer interaction , maximum bubble pressure method
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.