Numerical implementation for reconstruction of inhomogeneous conductivities via generalized polarization tensors

This paper is devoted to numerical analysis of an inverse source problem in a degenerate parabolic equation. The aims of this work are to show the well-posedness of the discrete inverse problem and its convergence to the continuous one. For this, we reformulate first the encountered inverse problem to a regularized optimal control one. Then, we approximate our optimal control problem by finite element method and we show the existence of the discrete solution and its convergence to the continuous one. Finally, in order to confirm the efficiency of the proposed scheme, some numerical results are obtained using the augmented Lagrangian method.

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Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation

Alahyane

Boutaayamou²,

Chrifi

et al. 2020

Int. J. Comput. Methods

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Numerical implementation for reconstruction of inhomogeneous conductivities via generalized polarization tensors

Cited by 1 publication

References 41 publications

Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation

Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation

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