Direct and inverse problem for geometric perturbation of the Laplace operator in a strip

DOI10.1186/s13661-019-1245-6OpenAlexW2965156557MaRDI QIDQ2108355

I. Khélifa, Lahcène Chorfi

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1245-6

zbMATH Keywords

boundary integral equationgeometric inverse problemcorrosion detection

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for integral equations (65R32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Linear integral equations (45A05)

Uses Software

• Regularization tools

Cites Work

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• Green's functions. Construction and applications
• Numerical recovery of Robin boundary from boundary measurements for the Laplace equation
• Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method
• An improved implementation of an iterative method in boundary identification problems
• Regularization tools version \(4.0\) for matlab \(7.3\)
• Integral equations for inverse problems in corrosion detection from partial Cauchy data
• On the inverse acoustic scattering problem by an open arc: the sound-hard case
• Inverse boundary value problems with unknown boundaries: Optimal stability
• An Inverse Problem in Thermal Imaging
• Elliptic Equations: An Introductory Course
• Nonlinear integral equations and the iterative solution for an inverse boundary value problem
• Linear integral equations
• An introduction to the mathematical theory of inverse problems

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