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Element‐based preconditioners for elasto‐plastic problems in geotechnical engineering
Author(s) -
Augarde C. E.,
Ramage A.,
Staudacher J.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1947
Subject(s) - geotechnics , finite element method , plasticity , linear elasticity , convergence (economics) , mathematics , elasticity (physics) , iterative method , computer science , mathematical optimization , geoengineering , simple (philosophy) , geotechnical engineering , structural engineering , engineering , geology , materials science , philosophy , epistemology , economics , composite material , economic growth , oceanography , climate change
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. Copyright © 2006 John Wiley & Sons, Ltd.