Approximations of degree zero  in the Poisson problem

C. Davini; F. Jourdan

doi:10.3934/cpaa.2005.4.267

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2005, Volume 4, Issue 2: 267-281. Doi: 10.3934/cpaa.2005.4.267

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Approximations of degree zero in the Poisson problem

C. Davini^1, and
F. Jourdan^2,

1.
Dipartimento di Georisorse e Territorio, University of Udine, 33100 Udine
2.
LMGC, Université de Montpellier II, Montpellier

Received: April 2004

Revised: November 2004

Published: June 2005

Abstract / Introduction Related Papers Cited by

Abstract

We discuss a technique for the approximation of the Poisson problem under mixed boundary conditions in spaces of piece-wise constant functions. The method adopts ideas from the theory of $\Gamma$-convergence as a guideline. Some applications are considered and numerical evaluation of the convergence rate is discussed.

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Mathematics Subject Classification: 65N12,65N30,46N40,74K15.

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