期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 198, 期 41-44, 页码 3352-3360出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2009.06.017
关键词
Nitsche's method; Extended finite element method; Incompressible elasticity; Stokes' problem; Discontinuous coefficients; Surface tension
资金
- EPI Concha INRIA Bordeux Sud-Cluest and LMA
In this note we propose a finite element method for incompressible (or compressible) elasticity problems with discontinuous modulus of elasticity (or, if compressible, Poisson's ratio). The problem is written on mixed form using P-1-continuous displacements and elementwise P-0 pressures, leading to the possibility of eliminating the pressure beforehand in the compressible case. In the incompressible case, the method is augmented by a stabilization term, penalizing the pressure jumps. We show a priori error estimates under certain regularity hypothesis. In particular we prove that if the exact solution is sufficiently smooth in each subdomain then the convergence order is optimal. (C) 2009 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据