Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422830 | Journal of Computational and Applied Mathematics | 2014 | 17 Pages |
Abstract
In this paper we investigate the numerical solution for two-dimensional Maxwell's equations on graded meshes. The approach is based on the Hodge decomposition. The solution u of Maxwell's equations is approximated by solving standard second order elliptic problems. Quasi-optimal error estimates for both u and âÃu in the L2 norm are obtained on graded meshes. We prove the uniform convergence of the W-cycle and full multigrid algorithms for the resulting discrete problem. The performance of these methods is illustrated by numerical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jintao Cui,