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
2008-01-01
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.File in questo prodotto:
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