Adaptive eigenspace for multi-parameter inverse scattering problems

DOI10.1016/j.camwa.2019.02.005zbMath1442.49032OpenAlexW2920645320MaRDI QIDQ2204044

Uri Nahum, Marcus J. Grote

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.02.005

zbMATH Keywords

Helmholtz equationfull waveform inversionPDE constrained optimizationinverse medium problemmulti-parameter estimationnonlinear spectral representation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimality conditions for problems involving randomness (49K45) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (5)

A multigrid discretization scheme based on the shifted inverse iteration for the Steklov eigenvalue problem in inverse scattering ⋮ Adaptive Spectral Inversion for inverse medium problems ⋮ Adaptive spectral decompositions for inverse medium problems ⋮ How to solve inverse scattering problems without knowing the source term: a three-step strategy ⋮ Error estimates for adaptive spectral decompositions

Uses Software

• eigs
• tn

Cites Work

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