Iterative methods for domain decomposition using spectral tau and collocation approximation
type: Item
instance of: scholarly article
title: Iterative methods for domain decomposition using spectral tau and collocation approximation
zbMATH Open document ID: 0692.65059
DOI: 10.1007/BF02576507
published in: Calcolo
publication date: 1989-01-01T00:00:00Z
review text: The author considers the numerical solution of second order elliptic problems by spectral methods in regions partitioned into several subdomains. An iterative procedure with interface relaxation is reviewed reducing the given differential problem to a sequence of Dirichlet and mixed Neumann-Dirichlet problems on each subdomain. The iterative procedure is used with both tau and collocation spectral approximations. Several numerical studies on one- and two-dimensional problems show the convergence properties of the scheme. The paper concludes with a proposal on a multilevel technique for the Dirichlet-Neumann iterative procedure.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4133442
zbMATH Keywords: domain decomposition
zbMATH Keywords: tau method
zbMATH Keywords: second order elliptic problems
zbMATH Keywords: spectral methods
zbMATH Keywords: interface relaxation
zbMATH Keywords: Neumann-Dirichlet problems
zbMATH Keywords: collocation
zbMATH Keywords: convergence
zbMATH Keywords: multilevel technique
author: E. Zampieri
reviewed by: K. T. S. Iyengar
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4133442