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
Official URL: http://www.cambridge.org/uk/catalogue/catalogue.as...
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|
|Deposited By:||John Ball|
|Deposited On:||26 Aug 2005|
|Last Modified:||29 May 2015 18:18|
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