Conservative domain decomposition procedure with unconditional stability and second-order accuracy
type: Item
instance of: scholarly article
title: Conservative domain decomposition procedure with unconditional stability and second-order accuracy
zbMATH Open document ID: 1197.65134
author: Shaohong Zhu
published in: Applied Mathematics and Computation
publication date: 2010-07-19T00:00:00Z
review text: This article presents a conservative domain decomposition procedure for solving one-dimensional parabolic initial-boundary value problems. In this procedure, the fluxes at subdomain interfaces are calculated from the solution at the previous time level, then these fluxes serve as Neumann boundary data for an implicit, block-centered discretization in the subdomain. The unconditional stability and the second-order accuracy of the solution and the fluxes are proved. Numerical results examining the stability, accuracy and parallelism of the procedure are presented.
reviewed by: Srinivasan Natesan
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 5757594
zbMATH Keywords: parabolic equation
zbMATH Keywords: finite difference
zbMATH Keywords: domain decomposition
zbMATH Keywords: unconditional stability
zbMATH Keywords: accuracy
zbMATH Keywords: initial-boundary-value problems
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: j.amc.2010.04.054
OpenAlex ID: W2040358352
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DOI: 10.1016/J.AMC.2010.04.054
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description: scientific article; zbMATH DE number 5757594