Finite element analysis on distributed memory architectures
type: Item
instance of: scholarly article
title: Finite element analysis on distributed memory architectures
zbMATH Open document ID: 0764.65065
DOI: 10.1016/0096-3003(92)90085-F
author: M. El Attar
published in: Applied Mathematics and Computation
publication date: 1993-05-16T00:00:00Z
review text: The finite element computations are to be performed on a transputer array. The domain of the problem is partitioned into a set of subdomains. The interior elements and the interface elements are distinguished for each subdomain. All the sets of interface elements are assigned to the master (driver) processor, while each interior set is assigned to a (slave) transputer. An iterative element-by-element preconditioned conjugate gradient algorithm is presented [see \textit{T. J. R. Hughes}, \textit{I. Levit} and \textit{J. Winget}, Element-by-element implicit algorithms for heat conduction, ASCE J. Eng. Mech. 109, 576-586 (1983)]. A two-dimensional Dirichlet problem for an elliptic equation in a rectangle is considered to test the method on a PC, IBM 80386 with eight transputers.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65Y10
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 165279
zbMATH Keywords: distributed memory architectures
zbMATH Keywords: parallel processing
zbMATH Keywords: domain decomposition
zbMATH Keywords: transputer array
zbMATH Keywords: preconditioned conjugate gradient algorithm
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: elliptic equation
reviewed by: L.Sh.Ioffe
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 165279