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• W1997468635 abstract "This paper considers a numerical method for reconstructing piecewise constant Robin coefficients from boundary measurements. A novel variational formulation of the inverse problem based on the celebrated Modica–Mortola functional is proposed, and its $Gamma$-convergence to the formulation with total variation regularization is shown. The differentiability of the functional is investigated, based on which the concave convex procedure is justified for its numerical solution. The finite element method is utilized for discretizing the functional, and the convergence of the finite element approximation is established. Three sets of numerical experiments are presented to illustrate its distinct features." @default.
• W1997468635 created "2016-06-24" @default.
• W1997468635 creator A5039605463 @default.
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• W1997468635 date "2009-01-01" @default.
• W1997468635 modified "2023-09-25" @default.
• W1997468635 title "Numerical Estimation of Piecewise Constant Robin Coefficient" @default.
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• W1997468635 doi "https://doi.org/10.1137/070710846" @default.
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