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Paper V.2

Fully Parallel Nonlinear Finite Element Computations using the Pre-Conditioned Lanczos Method for Solving Linear Equations

Th. Rottner*, K. Schweizerhof*, I. Lenhardt+ and G. Alefeld+

*Insitute for Mechanics, University of Karlsruhe, Germany
+Institute for Applied Mathematics, University of Karlsruhe, Germany

doi:10.4203/ccp.52.5.2

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Th. Rottner, K. Schweizerhof, I. Lenhardt, G. Alefeld, "Fully Parallel Nonlinear Finite Element Computations using the Pre-Conditioned Lanczos Method for Solving Linear Equations", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 95-101, 1998. doi:10.4203/ccp.52.5.2

Abstract

A fully parallel implementation of a nonlinear finite element program and applications to structural mechanics problems are presented using the preconditioned Lanczos method as an iterative solver for the solution of the linear systems of equations. First, the parallel concept as well as the parallel solver including the preconditioning strategy are briefly described. Then different examples ranging from linear 3D continuum problems to ill conditioned shell buckling problems are given and the results are discussed.

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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: 52 ADVANCES IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping Paper V.2 Fully Parallel Nonlinear Finite Element Computations using the Pre-Conditioned Lanczos Method for Solving Linear Equations Th. Rottner, K. Schweizerhof, I. Lenhardt+ and G. Alefeld+ *Insitute for Mechanics, University of Karlsruhe, Germany +Institute for Applied Mathematics, University of Karlsruhe, Germany doi:10.4203/ccp.52.5.2 purchase the full-text of this paper Full Bibliographic Reference for this paper Th. Rottner, K. Schweizerhof, I. Lenhardt, G. Alefeld, "Fully Parallel Nonlinear Finite Element Computations using the Pre-Conditioned Lanczos Method for Solving Linear Equations", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 95-101, 1998. doi:10.4203/ccp.52.5.2 Abstract A fully parallel implementation of a nonlinear finite element program and applications to structural mechanics problems are presented using the preconditioned Lanczos method as an iterative solver for the solution of the linear systems of equations. First, the parallel concept as well as the parallel solver including the preconditioning strategy are briefly described. Then different examples ranging from linear 3D continuum problems to ill conditioned shell buckling problems are given and the results are discussed. 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 £56 +P&P)
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