Element-based preconditioners for elasto-plastic problems

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

Research output: Contribution to journalArticle

14 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)757-779
Number of pages22
JournalInternational Journal for Numerical Methods in Engineering
Volume71
Issue number7
DOIs
Publication statusPublished - 2007

Fingerprint

Elasto-plastic
Preconditioner
Plasticity
Plastics
Iterative Solvers
Linear Elasticity
Preconditioning
Iterative methods
Finite Element Model
Linear systems
Elasticity
Linear Systems
Iteration
Data storage equipment
Necessary
Requirements
Model

Keywords

  • finite elements
  • iterative solvers
  • preconditioning
  • elasto-plasticity
  • numerical mathematics
  • engineering

Cite this

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Element-based preconditioners for elasto-plastic problems. / Augarde, C.E.; Ramage, A.; Staudacher, J.

In: International Journal for Numerical Methods in Engineering, Vol. 71, No. 7, 2007, p. 757-779.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Element-based preconditioners for elasto-plastic problems

AU - Augarde, C.E.

AU - Ramage, A.

AU - Staudacher, J.

PY - 2007

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KW - finite elements

KW - iterative solvers

KW - preconditioning

KW - elasto-plasticity

KW - numerical mathematics

KW - engineering

UR - http://dx.doi.org/10.1002/nme.1947

U2 - 10.1002/nme.1947

DO - 10.1002/nme.1947

M3 - Article

VL - 71

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JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

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