An Extended Finite Element Method for the Elasticity Interface Problem
Pei Cao *
Jiangsu Key Lab for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China.
*Author to whom correspondence should be addressed.
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.
Keywords: Elasticity interface problem, extended mixed finite element method, optimal a priori error estimates, estimates of condition number