Table of Contents Author Guidelines Submit a Manuscript
Advances in Mathematical Physics
Volume 2016, Article ID 3292487, 9 pages
http://dx.doi.org/10.1155/2016/3292487
Research Article

A Consistent Immersed Finite Element Method for the Interface Elasticity Problems

Korea Advanced Institute of Science and Technology, Daejeon 305-701, Republic of Korea

Received 10 November 2015; Accepted 16 February 2016

Academic Editor: Manuel De León

Copyright © 2016 Sangwon Jin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a new scheme for elasticity problems having discontinuity in the coefficients. In the previous work (Kwak et al., 2014), the authors suggested a method for solving such problems by finite element method using nonfitted grids. The proposed method is based on the -nonconforming finite element methods with stabilizing terms. In this work, we modify the method by adding the consistency terms, so that the estimates of consistency terms are not necessary. We show optimal error estimates in and divergence norms under minimal assumptions. Various numerical experiments also show optimal rates of convergence.