Schwarz alternating and iterative refinement methods for mixed formulations of elliptic problems. I: Algorithms and numerical results
type: Item
instance of: scholarly article
title: Schwarz alternating and iterative refinement methods for mixed formulations of elliptic problems. I: Algorithms and numerical results
zbMATH Open document ID: 0801.65106
DOI: 10.1007/BF01385762
published in: Numerische Mathematik
publication date: 1994-12-04T00:00:00Z
full work available at URL: https://eudml.org/doc/133745
review text: The author describes a framework for implementing the Schwarz alternating and iterative refinement method applied to elliptic boundary value problems. The structure of the resulting discretized equations is then considered in a similar way to the more standard block Jacobi and Gauss- Seidel methods. By exploiting any overlap between the blocks it is shown that if there is sufficient overlap between the domains convergence is proven independent of the local geometry and limited continuity of the coefficients.
reviewed by: Douglas Quinney
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 569168
zbMATH Keywords: finite element method
zbMATH Keywords: block Jacobi method
zbMATH Keywords: Gauss-Seidel method
zbMATH Keywords: Schwarz alternating method
zbMATH Keywords: local grid refinement
zbMATH Keywords: iterative refinement method
author: Tarek P. Mathew
MaRDI profile type: Publication
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OpenAlex ID: W1991119623
description: scientific article; zbMATH DE number 569168