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S. Meynen, "Domain Decomposition Methods for the Solution of Non-Linear Problems in Solid Mechanics", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 87-94, 1998. doi:10.4203/ccp.52.5.1

Abstract

A general approach for porting a finite element code to a parallel machine of the MIMD class is presented. Here, an additive Schwarz method is employed, which leads to a non-overlapping domain decomposition. To decompose the given problem into subdomains a heuristic partitioning algorithm is used for structured and unstructured FE-meshes.

Parallel solution algorithms like preconditioned conjugate gradient or a preconditioned Lanczos method are used within Newton's method to solve the nonlinear system of equations.

Examples are given using membrane and shell elements with elastic and elasto-plastic material behaviour undergoing large deformations. The performance of the solver with respect to the degrees of freedom and the number of processors as well as the influence of the plasticity is presented.

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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.1 Domain Decomposition Methods for the Solution of Non-Linear Problems in Solid Mechanics S. Meynen Department of Numerical Methods in Mechanical Engineering, Technical University of Darmstadt, Germany doi:10.4203/ccp.52.5.1 purchase the full-text of this paper Full Bibliographic Reference for this paper S. Meynen, "Domain Decomposition Methods for the Solution of Non-Linear Problems in Solid Mechanics", in B.H.V. Topping, (Editor), "Advances in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 87-94, 1998. doi:10.4203/ccp.52.5.1 Abstract A general approach for porting a finite element code to a parallel machine of the MIMD class is presented. Here, an additive Schwarz method is employed, which leads to a non-overlapping domain decomposition. To decompose the given problem into subdomains a heuristic partitioning algorithm is used for structured and unstructured FE-meshes. Parallel solution algorithms like preconditioned conjugate gradient or a preconditioned Lanczos method are used within Newton's method to solve the nonlinear system of equations. Examples are given using membrane and shell elements with elastic and elasto-plastic material behaviour undergoing large deformations. The performance of the solver with respect to the degrees of freedom and the number of processors as well as the influence of the plasticity is presented. 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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