A primal mixed domain decomposition procedure based on the nonconforming streamline diffusion method
type: Item
instance of: scholarly article
title: A primal mixed domain decomposition procedure based on the nonconforming streamline diffusion method
zbMATH Open document ID: 1054.65125
published in: Applied Numerical Mathematics
publication date: 2004-08-10T00:00:00Z
review text: This very important paper presents a new domain decomposition procedure for convection-diffusion problems. The nonconforming streamline diffusion method to resolve convection dominated problems, and Robin-type boundary conditions to transmit information between subdomains is used. The purpose of the author is to introduce a parallel iterative decomposition procedure with nonconforming primal mixed finite elements for convection dominated problems. Main result: The principal characteristic of the proposed algorithm is that the algorithm can be implemented very easily and naturally on a massively parallel mashine by assigning each subproblem to its own processor. Existence and uniqueness for the weak formulation of the convection-diffusion problem by a primal mixed method are precisely analyzed. Here the convergence of the parallel iterative procedure is shown. Finally, the author illustrates how theoretical results (the precise proofs of crucial assertion are proposed) can be used for the numerical realizations at given model examples.
reviewed by: Jan Lovíšek
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 2085833
zbMATH Keywords: convection dominated problems
zbMATH Keywords: parallel iterative algorithm
zbMATH Keywords: primal mixed finite element method
zbMATH Keywords: streamline diffusion method
zbMATH Keywords: nonconforming finite elements
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: convergence
zbMATH Keywords: Robin-type boundary conditions
zbMATH Keywords: weak formulation
zbMATH Keywords: numerical examples
zbMATH Keywords: domain decomposition
zbMATH Keywords: convection-diffusion problems
zbMATH Keywords: algorithm
author: Jung Ho Park
MaRDI profile type: Publication
full work available at URL: j.apnum.2003.12.020
OpenAlex ID: W1992275497
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DOI: 10.1016/J.APNUM.2003.12.020
description: scientific article; zbMATH DE number 2085833