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Paper V.4

Parallel Multiplicative and Additive Multilevel Methods for Elliptic Problems in Three-Dimensional Domains

doi:10.4203/ccp.45.5.4

M. Jung, "Parallel Multiplicative and Additive Multilevel Methods for Elliptic Problems in Three-Dimensional Domains", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics for Parallel and Distributed Processing", Civil-Comp Press, Edinburgh, UK, pp 171-177, 1997. doi:10.4203/ccp.45.5.4

Abstract

The application of multiplicative and additive multilevel preconditioners in the preconditioned conjugate gradient method for solving systems of algebraic equations resulting from finite element discretizations of the Poisson's equation in three-dimensional domains is discussed.

The algorithms are- implemented on parallel machines with MIMD architecture and a message passing communication handling. The non-overlapping domain decomposition data distribution used and the parallelization of the preconditioned conjugate gradient algorithm are described.

The different algorithms are compared by means of a numerical example.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 45 ADVANCES IN COMPUTATIONAL MECHANICS FOR PARALLEL AND DISTRIBUTED PROCESSING Edited by: B.H.V. Topping Paper V.4 Parallel Multiplicative and Additive Multilevel Methods for Elliptic Problems in Three-Dimensional Domains M. Jung Faculty of Mathematics, Technical University of Chemnitz-Zwickau, Chemnitz, Germany doi:10.4203/ccp.45.5.4 purchase the full-text of this paper Full Bibliographic Reference for this paper M. Jung, "Parallel Multiplicative and Additive Multilevel Methods for Elliptic Problems in Three-Dimensional Domains", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics for Parallel and Distributed Processing", Civil-Comp Press, Edinburgh, UK, pp 171-177, 1997. doi:10.4203/ccp.45.5.4 Abstract The application of multiplicative and additive multilevel preconditioners in the preconditioned conjugate gradient method for solving systems of algebraic equations resulting from finite element discretizations of the Poisson's equation in three-dimensional domains is discussed. The algorithms are- implemented on parallel machines with MIMD architecture and a message passing communication handling. The non-overlapping domain decomposition data distribution used and the parallelization of the preconditioned conjugate gradient algorithm are described. The different algorithms are compared by means of a numerical example. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £66 +P&P)
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