Application of the second domain derivative in inverse electromagnetic scattering

DOI10.1088/1361-6420/abaa31zbMath1454.78023OpenAlexW3015434922MaRDI QIDQ5139324

Frank Hettlich, Felix Hagemann

Publication date: 8 December 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/abaa31

zbMATH Keywords

boundary element methoddomain derivativeinverse electro-magnetic scattering

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items

The domain derivative for semilinear elliptic inverse obstacle problems ⋮ Maximizing the electromagnetic chirality of thin metallic nanowires at optical frequencies ⋮ Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities

Uses Software

• BEM++

Cites Work

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• Shape derivatives of boundary integral operators in electromagnetic scattering. I: Shape differentiability of pseudo-homogeneous boundary integral operators
• The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
• Iterative regularization methods for nonlinear ill-posed problems
• Software frameworks for integral equations in electromagnetic scattering based on Calderón identities
• Fast methods for three-dimensional inverse obstacle scattering problems
• Material derivatives of boundary integral operators in electromagnetism and application to inverse scattering problems
• The domain derivative of time-harmonic electromagnetic waves at interfaces
• Vector potentials in three-dimensional non-smooth domains
• Shape derivatives for scattering problems
• On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newton method
• On the Fréchet Derivative for Obstacle Scattering with an Impedance Boundary Condition
• A Second Degree Method for Nonlinear Inverse Problems
• A convergence rates result for an iteratively regularized Gauss–Newton–Halley method in Banach space
• Solving inverse electromagnetic scattering problems via domain derivatives^†
• Inverse Acoustic and Electromagnetic Scattering Theory
• Solving Boundary Integral Problems with BEM++
• Linear integral equations
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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