Bayesian inversion for an inverse spectral problem of transmission eigenvalues

DOI10.1007/s40687-021-00288-xzbMath1476.78005OpenAlexW3195986342MaRDI QIDQ2050853

Yanfang Liu, Jiguang Sun

Publication date: 1 September 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-021-00288-x

zbMATH Keywords

inverse spectral probleminhomogeneous mediatransmission eigenvaluesBayesian inversion

Mathematics Subject Classification ID

Bayesian inference (62F15) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Scattering theory for PDEs (35P25) 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 (2)

A mixed element scheme for the Helmholtz transmission eigenvalue problem for anisotropic media ⋮ Reconstruction of modified transmission eigenvalues using Cauchy data

Cites Work

• Unnamed Item
• A multi-level method for transmission eigenvalues of anisotropic media
• Surface integral formulation of the interior transmission problem
• On spectral analysis and a novel algorithm for transmission eigenvalue problems
• On the determination of Dirichlet or transmission eigenvalues from far field data
• The interior transmission problem
• A multilevel correction method for interior transmission eigenvalue problem
• Statistical and computational inverse problems.
• A spectral-element method for transmission eigenvalue problems
• Mixed Methods for the Helmholtz Transmission Eigenvalues
• Finite Element Methods for Eigenvalue Problems
• Inverse Scattering Theory and Transmission Eigenvalues
• Inverse problems: A Bayesian perspective
• Estimation of transmission eigenvalues and the index of refraction from Cauchy data
• Iterative Methods for Transmission Eigenvalues
• Analytical and computational methods for transmission eigenvalues
• The inverse electromagnetic scattering problem for anisotropic media
• Modified transmission eigenvalues in inverse scattering theory
• A virtual element method for the transmission eigenvalue problem
• Extended-Sampling-Bayesian Method for Limited Aperture Inverse Scattering Problems
• An inverse medium problem using Stekloff eigenvalues and a Bayesian approach
• A Bayesian approach to improving the Born approximation for inverse scattering with high-contrast materials
• A numerical method to compute interior transmission eigenvalues
• Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: Bayesian inversion for an inverse spectral problem of transmission eigenvalues