Explicit-implicit domain decomposition methods for solving parabolic equations
type: Item
instance of: scholarly article
title: Explicit-implicit domain decomposition methods for solving parabolic equations
zbMATH Open document ID: 0863.65055
DOI: 10.1007/BF02109838
author: S. V. Gololobov
author: Y. M. Laevsky
published in: Siberian Mathematical Journal
publication date: 1997-06-08T00:00:00Z
review text: A new algorithm (without iteration) for domain decomposition on nonoverlapping subdomains is presented for multidimensional parabolic boundary value problems. Although methods with overlapping subdomains have better convergence properties than algorithms without overlapping, the last ones are more simple from the point of realisation. It is known that domain decomposition methods without overlapping subdomains have only conditional convergence (with correlations of the space and time grid steps). So that the present paper is devoted to the construction of new conditionally convergent methods. For this purpose the author use Lanczos polynomials instead of Chebyshev polynomials.
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 923523
zbMATH Keywords: algorithm
zbMATH Keywords: domain decomposition
zbMATH Keywords: parabolic boundary value problems
zbMATH Keywords: convergence
zbMATH Keywords: Lanczos polynomials
reviewed by: Peter P. Matus
MaRDI profile type: Publication
cites work: Q3481187
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cites work: Generic structure of the Lagrangian manifold in chattering problems
cites work: Q4005068
cites work: Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
cites work: Q4749148
cites work: Q5599957
cites work: Q3849175
full work available at URL: https://doi.org/10.1007/bf02109838
OpenAlex ID: W2009168226
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description: scientific article; zbMATH DE number 923523