The Mathematical Institute, University of Oxford, Eprints Archive

Singularities and computation of minimizers for variational problems.

Ball, J. M. (2001) Singularities and computation of minimizers for variational problems. In: Foundations of Computational Mathematics. London Mathematical Society Lecture Note Series (284). Cambridge University Press, pp. 1-20. ISBN 0521003490

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Abstract

Various issues are 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.

Item Type:Book Section
Subjects:H - N > Mechanics of deformable solids
Research Groups:Oxford Centre for Nonlinear PDE
ID Code:192
Deposited By:John Ball
Deposited On:26 Aug 2005
Last Modified:20 Jul 2009 14:19

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