| Issue |
ESAIM: COCV
Volume 14, Number 4, October-December 2008
|
|
|---|---|---|
| Page(s) | 802 - 824 | |
| DOI | https://doi.org/10.1051/cocv:2008011 | |
| Published online | 30 January 2008 | |
External approximation of first order variational problems via W-1,p estimates
1
Dipartimento di Georisorse e Territorio,
Via del Cotonificio 114, 33100 Udine, Italy; davini@uniud.it
2
Dipartimento di Architettura e Pianificazione,
Università di Sassari, Palazzo del Pou Salit, Piazza Duomo, 07041 Alghero, Italy;
paroni@uniss.it
Received:
28
December
2006
Here we present an approximation method for a rather broad class of first order
variational problems in spaces of piece-wise constant functions over
triangulations of the base domain. The convergence of the method is based on an
inequality involving 
norms obtained by Nečas and on the general
framework of Γ-convergence theory.
Mathematics Subject Classification: 65N12 / 65N30 / 46N10 / 74K20 / 74S05
Key words: Numerical methods / non-conforming approximations / Γ-convergence
© EDP Sciences, SMAI, 2008
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