Overlapping Schwarz methods for unstructured spectral elements
type: Item
instance of: scholarly article
title: Overlapping Schwarz methods for unstructured spectral elements
zbMATH Open document ID: 0957.65104
author: L. F. Pavarino
author: T. Warburton
published in: Journal of Computational Physics
publication date: 2001-03-12T00:00:00Z
review text: The authors introduce and study a parallel and scalable domain decomposition method for unstructured and hybrid spectral element discretizations of elliptic problems. The spectral elements are affine images of the reference triangle or square in two dimensions and of the reference tetrahedron, pyramid, prism, or cube in three dimensions. The method is based on overlapping Schwarz techniques to the Schur complement of the discrete system and is implemented as a preconditioner for a Krylov subspace method. The results of several numerical experiments performed with the code NekTar are presented.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 1452598
zbMATH Keywords: spectral elements
zbMATH Keywords: unstructured meshes
zbMATH Keywords: domain decomposition
zbMATH Keywords: overlapping Schwarz methods
zbMATH Keywords: numerical examples
zbMATH Keywords: parallel computation
zbMATH Keywords: elliptic problems
zbMATH Keywords: Schur complement
zbMATH Keywords: preconditioner
zbMATH Keywords: Krylov subspace method
reviewed by: Karel Najzar
MaRDI profile type: Publication
full work available at URL: jcph.2000.6463
OpenAlex ID: W2058046779
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DOI: 10.1006/JCPH.2000.6463
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description: scientific article; zbMATH DE number 1452598