Abstract
In this paper we investigate multigrid methods for a quad-curl problem on graded meshes. The approach is based on the Hodge decomposition. The solution for the quad-curl problem is approximated by solving standard second-order elliptic problems and optimal error estimates are obtained on graded meshes. We prove the uniform convergence of the multigrid algorithm for the resulting discrete problem. The performance of these methods is illustrated by numerical results.
Original language | English |
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Pages (from-to) | 215-232 |
Number of pages | 18 |
Journal | Computational Methods in Applied Mathematics |
Volume | 19 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Apr 2019 |
Keywords
- Graded Meshes
- Hodge Decomposition
- Multigrid Methods
- Quad-Curl Problem
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics