Schwarz type domain decomposition algorithms for parabolic equations and error estimates
type: Item
instance of: scholarly article
title: Schwarz type domain decomposition algorithms for parabolic equations and error estimates
zbMATH Open document ID: 0934.35059
DOI: 10.1007/BF02677411
author: Danping Yang
author: Hongxing Rui
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2000-04-13T00:00:00Z
review text: This paper deals with the initial-boundary value problem for the general selfadjoint second order parabolic partial differential equation. Two kinds of Schwarz type domain decomposition algorithms with backward Euler scheme in time variable are presented. The first one is with continuous space variable and the other is its Galerkin approximate. The authors give the main convergence results, which tell us that the approximate solutions converge to the exact solution after one cycle of iteration at every time level and a priori optimal \(L^2\) error estimates are given.
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M55
zbMATH DE Number: 1340734
zbMATH Keywords: optimal \(L^2\) error estimates
zbMATH Keywords: Schwarz type domain decomposition algorithms
zbMATH Keywords: backward Euler scheme in time
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1340734