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Element-based preconditioners for elasto-plastic problems

Augarde, C.E. and Ramage, A. and Staudacher, J. (2007) Element-based preconditioners for elasto-plastic problems. International Journal for Numerical Methods in Engineering, 71 (7). pp. 757-779. ISSN 0029-5981

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Abstract

Iterative solvers are widely regarded as the most efficient way to solve the very large linear systems arising from finite element models. Their memory requirements are small compared to those for direct solvers. Consequently, there is a major interest in iterative methods and particularly the preconditioning necessary to achieve rapid convergence. In this paper we present new element-based preconditioners specifically designed for linear elasticity and elasto-plastic problems. The study presented here is restricted to simple associated plasticity but should find wide application in other plasticity models used in geotechnics.

Item type: Article
ID code: 4708
Keywords: finite elements, iterative solvers, preconditioning, elasto-plasticity, numerical mathematics, engineering, Mathematics, Engineering (General). Civil engineering (General), Applied Mathematics, Engineering(all), Numerical Analysis
Subjects: Science > Mathematics
Technology > Engineering (General). Civil engineering (General)
Department: Faculty of Science > Mathematics and Statistics
Faculty of Science > Mathematics and Statistics > Mathematics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 12 Nov 2007
    Last modified: 04 Sep 2014 17:33
    URI: http://strathprints.strath.ac.uk/id/eprint/4708

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