Title

Multigrid Methods Based on Hodge Decomposition for a Quad-Curl Problem

Document Type

Article

Publication Date

4-1-2019

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.

Publication Source (Journal or Book title)

Computational Methods in Applied Mathematics

First Page

215

Last Page

232

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