Element-based preconditioners for elasto-plastic problems in geotechnical engineering

Augarde, C.E.; Ramage, A.; Staudacher, J.

doi:10.1002/nme.1947

Element-based preconditioners for elasto-plastic problems in geotechnical engineering

Augarde, C.E.; Ramage, A.; Staudacher, J.

Authors

Professor Charles Augarde charles.augarde@durham.ac.uk
Head Of Department

A. Ramage

J. Staudacher

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.

Citation

Augarde, C., Ramage, A., & Staudacher, J. (2007). Element-based preconditioners for elasto-plastic problems in geotechnical engineering. International Journal for Numerical Methods in Engineering, 71(7), 757-779. https://doi.org/10.1002/nme.1947

Journal Article Type	Article
Publication Date	2007-08
Deposit Date	Sep 24, 2008
Journal	International Journal for Numerical Methods in Engineering
Print ISSN	0029-5981
Electronic ISSN	1097-0207
Publisher	Wiley
Peer Reviewed	Peer Reviewed
Volume	71
Issue	7
Pages	757-779
DOI	https://doi.org/10.1002/nme.1947
Keywords	Preconditoning, Finite elements, Geotechnics, EBE.