Domain decomposition method for parabolic equation on general domain
type: Item
instance of: scholarly article
title: Domain decomposition method for parabolic equation on general domain
zbMATH Open document ID: 0827.65095
DOI: 10.1007/BF02663890
published in: Applied Mathematics. Series B (English Edition)
publication date: 1995-12-11T00:00:00Z
review text: Domain decomposition procedures for parabolic problems in a rectangle have been studied by \textit{C. N. Dawson} and \textit{T. F. Dupont} [Math. Comput. 58, No. 197, 21-34 (1992; Zbl 0746.65072)]. In this paper the author considers the nonoverlapping domain decomposition method for a semilinear parabolic equation in a convex polygon in \(\mathbb{R}^2\). The method is based on a finite element procedure and different decompositions of nonoverlapping subdomains that can be implemented on parallel processors. An \(L^2\)-error estimate is given for Lipschitz continuous nonlinearities.
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 763878
zbMATH Keywords: parallel computation
zbMATH Keywords: domain decomposition
zbMATH Keywords: error estimate
zbMATH Keywords: semilinear parabolic equation
zbMATH Keywords: finite element
author: Hongxing Rui
reviewed by: Song Jiang
MaRDI profile type: Publication
cites work: Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems
cites work: Galerkin finite element methods for parabolic problems
full work available at URL: https://doi.org/10.1007/bf02663890
OpenAlex ID: W56460285
description: scientific article; zbMATH DE number 763878