Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10357131 | Journal of Computational Physics | 2009 | 20 Pages |
Abstract
We propose self-adaptive finite element methods with error control for solving elliptic and electromagnetic problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. New error indicators are introduced to control the error due to non-body-fitted meshes. Flexible h-adaptive strategies are developed, which can be systematically extended to a large class of interface problems. Extensive numerical experiments are performed to support the theoretical results and to show the competitive behavior of the adaptive algorithm even for interfaces involving corner or tip singularities.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Zhiming Chen, Yuanming Xiao, Linbo Zhang,