A conformal mapping method in inverse obstacle scattering

DOI10.1080/17476933.2013.791687zbMath1293.30022OpenAlexW2019410389MaRDI QIDQ5418601

Rainer Kress, Houssem Haddar

Publication date: 26 May 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.791687

zbMATH Keywords

conformal mappingiterative methodsLaplace equationHelmholtz equationinverse obstacle scatteringlow frequency scattering

Mathematics Subject Classification ID

Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Schwarz-Christoffel-type mappings (30C30) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Inverse problems for integral equations (45Q05)

Related Items (3)

Calderón cavities inverse problem as a shape-from-moments problem ⋮ Conformal mapping for cavity inverse problem: an explicit reconstruction formula ⋮ Inclusion boundary reconstruction and sensitivity analysis in electrical impedance tomography

Cites Work

• On the low wave number behavior of two-dimensional scattering problems for an open arc
• Inverse Dirichlet problem and conformal mapping
• Inverse problems and conformal mapping
• Conformal mapping and an inverse impedance boundary value problem
• Conformal mapping and impedance tomography
• Low frequency asymptotics for the reduced wave equation in two‐dimensional exterior spaces
• On the low wave number asymtotics for the two-dimensional exterior dirichlet problem for the reduced wave equation
• Frechet differentiability of boundary integral operators in inverse acoustic scattering
• Electrostatic imaging via conformal mapping
• Inverse Scattering
• Conformal mappings and inverse boundary value problems
• Inverse acoustic and electromagnetic scattering theory

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