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External approximation of first order variationalproblemsvia W-1,p estimates

Published online by Cambridge University Press:  30 January 2008

Cesare Davini  and
Roberto Paroni
Cesare Davini
Affiliation:
Dipartimento di Georisorse e Territorio, Via del Cotonificio 114, 33100 Udine, Italy; davini@uniud.it
Roberto Paroni
Affiliation:
Dipartimento di Architettura e Pianificazione, Università di Sassari, Palazzo del Pou Salit, Piazza Duomo, 07041 Alghero, Italy; paroni@uniss.it
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Abstract

Here we present an approximation method for a rather broad class of first ordervariational problems in spaces of piece-wise constant functions overtriangulations of the base domain. The convergence of the method is based on aninequality involving $W^{-1, p}$ norms obtained by Nečas and on the generalframework of Γ-convergence theory.

Keywords

Numerical methodsnon-conforming approximationsΓ-convergence
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 14 , Issue 4 , October 2008 , pp. 802 - 824
Copyright
© EDP Sciences, SMAI, 2008

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