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• W1998985645 startingPage "622" @default.
• W1998985645 abstract "Based on a new a posteriori error estimator, an adaptive finite element method is proposed for recovering the Robin coefficient involved in a diffusion system from some boundary measurement. The a posteriori error estimator cannot be derived for this ill-posed nonlinear inverse problem as was done for the existing a posteriori error estimators for direct problems. Instead, we shall derive the a posteriori error estimator from our convergence analysis of the adaptive algorithm. We prove that the adaptive algorithm guarantees a convergent subsequence of discrete solutions in an energy norm to some exact triplet (the Robin coefficient, state and costate variables) determined by the optimality system of the least-squares formulation with Tikhonov regularization for the concerned inverse problem. Some numerical results are also reported to illustrate the performance of the algorithm." @default.
• W1998985645 created "2016-06-24" @default.
• W1998985645 creator A5048462943 @default.
• W1998985645 creator A5090609331 @default.
• W1998985645 date "2015-01-01" @default.
• W1998985645 modified "2023-09-26" @default.
• W1998985645 title "Analysis of an Adaptive Finite Element Method for Recovering the Robin Coefficient" @default.
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• W1998985645 doi "https://doi.org/10.1137/130941742" @default.
• W1998985645 hasPublicationYear "2015" @default.
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