Premium
A parallel version of the preconditioned conjugate gradient method for boundary element equations
Author(s) -
Pester Matthias,
Rjasanow Sergej
Publication year - 1995
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.1680020102
Subject(s) - conjugate gradient method , transputer , mimd , iterative method , preconditioner , mathematics , boundary element method , precondition , conjugate residual method , dirichlet boundary condition , galerkin method , domain decomposition methods , boundary value problem , parallel algorithm , finite element method , computer science , algorithm , parallel computing , mathematical analysis , gradient descent , artificial neural network , physics , machine learning , thermodynamics , programming language
The parallel version of precondition techniques is developed for matrices arising from the Galerkin boundary element method for two‐dimensional domains with Dirichlet boundary conditions. Results were obtained for implementations on a transputer network as well as on an nCUBE‐2 parallel computer showing that iterative solution methods are very well suited for a MIMD computer. A comparison of numerical results for iterative and direct solution methods is presented and underlines the superiority of iterative methods for large systems.