Title

Multigrid methods for H(div) in three dimensions with nonoverlapping domain decomposition smoothers

Document Type

Article

Publication Date

10-1-2018

Abstract

We design and analyze V-cycle multigrid methods for an H(div) problem discretized by the lowest-order Raviart–Thomas hexahedral element. The smoothers in the multigrid methods involve nonoverlapping domain decomposition preconditioners that are based on substructuring. We prove uniform convergence of the V-cycle methods on bounded convex hexahedral domains (rectangular boxes). Numerical experiments that support the theory are also presented.

Publication Source (Journal or Book title)

Numerical Linear Algebra with Applications

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