1. Numerical identification of a sparse Robin coefficient.
- Author
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Sun, Zhiyuan, Jiao, Yuling, Lu, Xiliang, and Jin, Bangti
- Subjects
SEMISMOOTH Newton methods ,NUMERICAL analysis ,INVERSE problems ,ITERATIVE methods (Mathematics) ,LAPLACE distribution ,ALGORITHMS - Abstract
We investigate an inverse problem of identifying a Robin coefficient with a sparse structure in the Laplace equation from noisy boundary measurements. The sparse structure of the Robin coefficient γ is understood as a small perturbation of a reference profile γ in the sense that their difference γ− γ has a small support. This problem is formulated as an optimal control problem with an L-regularization term. An iteratively reweighted least-squares algorithm with an inner semismooth Newton iteration is employed to solve the resulting optimization problem, and the convergence of the iteratively weighted least-squares algorithm is established. Numerical results for two-dimensional problems are presented to illustrate the efficiency of the proposed method. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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