| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4627936 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
In this paper, we study a nonmatching grid finite element approximation of linear elliptic PDEs in the context of the Schwarz alternating domain decomposition.We show that the approximation converges optimally in the maximum norm, on each subdomain, making use of the geometrical convergence of both the continuous and corresponding discrete Schwarz sequences. We also give some numerical results to support the theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Messaoud Boulbrachene, Qais Al Farei,