An Immersed Finite Element Method for Planar Elasticity Interface Problem
Angran Liu *
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Jiangsu, 210023, China.
*Author to whom correspondence should be addressed.
Abstract
This paper presents the P1/CR immersed finite element (IFE) method to solve planar elasticity
interface problem. By adding some stabilisation terms on the edges of interface elements, the
stability of the discrete formulation and a priori error estimate in an energy norm are presented.
Finally, numerical examples are given to confirm our theoretical results.
Keywords: Interface problem, IFE method, penalty terms.