The relaxation of non-quasiconvex variational integrals
type: Item
instance of: scholarly article
title: The relaxation of non-quasiconvex variational integrals
zbMATH Open document ID: 0929.65038
published in: Numerische Mathematik
publication date: 2000-01-25T00:00:00Z
review text: For non-quasiconvex variational integrals of the form \(E(u)= \int_{\Omega} w(\nabla u(x)) dx\), where \(u\in W^{1,p}(\Omega)\), \(p\geq 2\), it is shown that a multi-level infinite-dimensional variant of the steepest descent algorithm in connection with wiggly energies yields minimizing sequences that converge to a global minimum. The given method is applied to the minimization of variational problems associated with martensitic branching.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M20
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1310782
zbMATH Keywords: convergence
zbMATH Keywords: non-quasiconvex variational integrals
zbMATH Keywords: steepest descent algorithm
zbMATH Keywords: global minimum
zbMATH Keywords: martensitic branching
author: P. Klouček
reviewed by: Hans Benker
MaRDI profile type: Publication
full work available at URL: s002110050420
OpenAlex ID: W1550483818
DOI: 10.1007/S002110050420
description: scientific article; zbMATH DE number 1310782