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Conjugate Gradient Method for Estimation of Robin Coefficients

  • Yan-Bo Ma (a1) and Fu-Rong Lin (a1)


We consider a Robin inverse problem associated with the Laplace equation, which is a severely ill-posed and nonlinear. We formulate the problem as a boundary integral equation, and introduce a functional of the Robin coefficient as a regularisation term. A conjugate gradient method is proposed for solving the consequent regularised nonlinear least squares problem. Numerical examples are presented to illustrate the effectiveness of the proposed method.


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