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A high accurate method for solving an inverse problem of the Laplace equation in detection of a Robin coefficient

Abdelhak Hadj

This study deals with an inverse problem for the harmonic equation to recover a Robin coefficient on a non-accessible part of a circle from Cauchy data measured on an accessible part of that circle. By assuming that the available data has a Fourier expansion, we adopt the Modified Collocation Trefftz Method (MCTM) to solve this problem. We use the truncation regularization method in combination with the collocation technique to approximate the solution, and the conjugate gradient method to obtain the coefficients, thus completing the missing Cauchy data. We recommend the least squares method to achieve a better stability


 
Publication d'évaluation par les pairs pour les associations, les sociétés et les universités pulsus-health-tech
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