Application of the FEM with adaptivity for electromagnetic inverse medium scattering problems

DOI10.1016/j.cma.2011.04.005zbMath1230.78017OpenAlexW2087422846MaRDI QIDQ660215

Waldemar Rachowicz, Adam Zdunek

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.04.005

zbMATH Keywords

electromagneticsautomatic adaptivityinverse medium scattering\(hp\) finite elements

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (3)

\(hp\)-finite element discretisation of the electrical impedance tomography problem ⋮ Solution of 3D inverse scattering problems by combined inverse equivalent current and finite element methods ⋮ Solution of electromagnetic inverse medium scattering problems by the adaptive finite element method and perfectly matched layer

Uses Software

• L-BFGS-B
• L-BFGS
• MUMPS

Cites Work

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• Numerical solution of an inverse medium scattering problem for Maxwell's equations at fixed frequency
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• A goal-oriented \(hp\)-adaptive finite element approach to radar scattering problems
• An infinite element for Maxwell's equations
• Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem
• A Framework for the Adaptive Finite Element Solution of Large-Scale Inverse Problems
• Algorithm 778: L-BFGS-B
• Reconstruction of the three-dimensional refractive index in electromagnetic scattering by using a propagation backpropagation method
• The linear sampling method for solving the electromagnetic inverse medium problem
• Three-dimensional vector microwave tomography: theory and computational experiments
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Inverse Medium Scattering Problems for Electromagnetic Waves

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