Crack identification in a multi-layer inhomogeneous domain using the Reciprocity Gap-Linear Sampling Method: Crack identification in a multi-layer inhomogeneous domain using the reciprocity gap-linear sampling method

Authors: Yosra Boukari, Nouha Jenhani

Source: Inverse Problems. 41:045014

Subject Terms: Inverse problems for PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problems, RG-LSM, crack identification, data completion algorithm, Helmholtz equation

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A data completion algorithm using an integral representation of the Steklov–Poincaré operator

Authors: Abid, Chaima, Abda, Amel Ben, Fatma, Riadh Ben, Boukari, Yosra ^⁎

Source: In Journal of Computational and Applied Mathematics April 2023 422