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 W-1,p norms obtained by Nečas and on the general framework of Γ-convergence theory.

External approximation of first order variational problems via W^{-1,p} estimates

Paroni, Roberto
2008

Abstract

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 W-1,p norms obtained by Nečas and on the general framework of Γ-convergence theory.
Davini, Cesare; Paroni, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/885784
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