UNSPECIFIED (2004) Convergence for stabilisation of degenerately convex minimisation problems. INTERFACES AND FREE BOUNDARIES, 6 (2). pp. 253-269. ISSN 1463-9971

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Abstract

Degenerate variational problems often result from a relaxation technique in effective numerical simulation of nonconvex minimisation problems. The relaxed energy density is the convex envelope of the original one and so convex but not strictly convex. Hence strong convergence of straightforward finite element approximations cannot be expected but is relevant in many applications. This paper establishes a modified discretization by stabilisation and proves its convergence in Strong norms.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	INTERFACES AND FREE BOUNDARIES
Publisher:	EUROPEAN MATHEMATICAL SOC
ISSN:	1463-9971
Date:	June 2004
Volume:	6
Number:	2
Number of Pages:	17
Page Range:	pp. 253-269
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/8077

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