Stochastic galerkin method for the elastoplasticity problem with uncertain parameters

Bojana V. Rosic, Hermann G. Matthies

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

5 Citations (Scopus)

Abstract

The mathematical formulation and numerical simulation of an elastic-plastic material with uncertain parameters in the small strain case is considered. Traditional computational approaches to this problem usually use some form of perturbation or Monte Carlo technique. This is contrasted here with more recent methods based on stochastic Galerkin approximations. In addition, we introduce the characterisation of the variational structure behind the discrete equations defining the closest-point projection approximation in stochastic elastoplasticity.

Original languageEnglish
Title of host publicationRecent Developments and Innovative Applications in Computational Mechanics
EditorsDana Mueller-Hoeppe, Stefan Loehnert, Stefanie Reese
Place of PublicationBerlin, Heidelberg
PublisherSpringer
Pages303-310
Number of pages8
ISBN (Electronic)978-3-642-17484-1
ISBN (Print)978-3-642-17483-4
DOIs
Publication statusPublished - 1 Dec 2011
Externally publishedYes

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