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Approximation of infima in the calculus of variations


Brighi, B; Chipot, M (1998). Approximation of infima in the calculus of variations. Journal of Computational and Applied Mathematics, 98(2):273-287.

Abstract

The goal of this paper is to give numerical estimates for some problems of the Calculus of Variations in the nonhomogeneous scalar case. The stored energy function considered is then a function φ:Ω × ℝn → ℝ. We try to compare the infimum of the energy defined by φ on a Sobolev space, with the infimum of the same energy on a finite element space, in terms of the mesh size. © 1998 Elsevier Science B.V. All rights reserved.

The goal of this paper is to give numerical estimates for some problems of the Calculus of Variations in the nonhomogeneous scalar case. The stored energy function considered is then a function φ:Ω × ℝn → ℝ. We try to compare the infimum of the energy defined by φ on a Sobolev space, with the infimum of the same energy on a finite element space, in terms of the mesh size. © 1998 Elsevier Science B.V. All rights reserved.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Approximation; Calculus of variations; Finite elements
Language:English
Date:1998
Deposited On:23 Jul 2010 11:04
Last Modified:05 Apr 2016 13:26
Publisher:Elsevier
ISSN:0377-0427
Publisher DOI:10.1016/S0377-0427(98)00112-5
Permanent URL: http://doi.org/10.5167/uzh-22178

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