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External approximation of first order variational problemsvia W-1,p estimates
Published online by Cambridge University Press: 30 January 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.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 14 , Issue 4 , October 2008 , pp. 802 - 824
- Copyright
- © EDP Sciences, SMAI, 2008
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