Numerical Reconstruction of Electromagnetic Inclusions in Three Dimensions

DOI10.1137/130937640zbMath1298.65163OpenAlexW2038413102MaRDI QIDQ2876817

Junshan Lin, S. M. Mefire, Gang Bao

Publication date: 20 August 2014

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130937640

zbMATH Keywords

numerical examplesinverse problemsMaxwell equationsshape optimizationreconstruction method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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A multi-frequency iterative imaging method for discontinuous inverse medium problem ⋮ Stability and Resolution Analysis of Topological Derivative Based Localization of Small Electromagnetic Inclusions ⋮ Detecting buried wave-penetrable scatterers in a two-layered medium ⋮ On a topology optimization problem governed by two-dimensional Helmholtz equation ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ On convexity of the functional for inverse problems of hyperbolic equations ⋮ An inverse scattering problem with generalized oblique derivative boundary condition ⋮ Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-dimensional Electromagnetism. Part I: One Step Method

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