Singularities and computation of minimizers for variational problems

Conference item

Abstract:: Various issues axe addressed related to the computation of minimizers for variational problems. Special attention is paid (i) to problems with singular minimizers, which natural numerical schemes may fail to detect, and the role of the choice of function space for such problems, and (ii) to problems for which there is no minimizer, which lead to difficult numerical questions such as the computation of microstructure for elastic materials that undergo phase transformations involving a change of shape.

Journal:: FOUNDATIONS OF COMPUTATIONAL MATHEMATICS More from this journal
Volume:: 284
Pages:: 1-20
Publication date:: 2001-01-01
Event title:: 3rd Conference of the Foundations of Computational Mathematics (FoCM)
ISSN:: 0076-0552
ISBN:: 0521003490

Keywords:: nonlinear elasticity

QUASICONVEXITY

SOBOLEV FUNCTIONS

DEFORMATIONS

APPROXIMATION

ELEMENT REMOVAL METHOD

microstructure

ENERGY

CALCULUS

INVERTIBILITY
Pubs id:: pubs:16812
UUID:: uuid:59b3e22a-3812-4b30-ad0b-6d6f74363b35
Local pid:: pubs:16812
Source identifiers:: 16812
Deposit date:: 2012-12-19

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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