External approximation of first order variational problems via W-1,p estimates
Dipartimento di Georisorse e Territorio,
Via del Cotonificio 114, 33100 Udine, Italy; firstname.lastname@example.org
2 Dipartimento di Architettura e Pianificazione, Università di Sassari, Palazzo del Pou Salit, Piazza Duomo, 07041 Alghero, Italy; email@example.com
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