Error estimates for the finite element approximation of linear elastic equations in an unbounded domain |
| |
Authors: | Houde Han Weizhu Bao |
| |
Institution: | Department of Applied Mathematics, Tsinghua University, Beijing 100084, People's Republic of China ; Department of Applied Mathematics, Tsinghua University, Beijing 100084, People's Republic of China |
| |
Abstract: | In this paper we present error estimates for the finite element approximation of linear elastic equations in an unbounded domain. The finite element approximation is formulated on a bounded computational domain using a nonlocal approximate artificial boundary condition or a local one. In fact there are a family of nonlocal approximate boundary conditions with increasing accuracy (and computational cost) and a family of local ones for a given artificial boundary. Our error estimates show how the errors of the finite element approximations depend on the mesh size, the terms used in the approximate artificial boundary condition, and the location of the artificial boundary. A numerical example for Navier equations outside a circle in the plane is presented. Numerical results demonstrate the performance of our error estimates. |
| |
Keywords: | Unbounded domain finite element approximation artificial boundary artificial boundary condition linear elastic equations |
|
| 点击此处可从《Mathematics of Computation》浏览原始摘要信息 |
| 点击此处可从《Mathematics of Computation》下载免费的PDF全文 |