Estimation of transmission eigenvalues and the index of refraction from Cauchy data
From MaRDI portal
Publication:3074673
DOI10.1088/0266-5611/27/1/015009zbMath1208.35176OpenAlexW2020192814MaRDI QIDQ3074673
Publication date: 10 February 2011
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/27/1/015009
Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Related Items (49)
Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems ⋮ Convergence of a lowest-order finite element method for the transmission eigenvalue problem ⋮ A Robust Numerical Algorithm for Computing Maxwell's Transmission Eigenvalue Problems ⋮ \(C^0\)IP methods for the transmission eigenvalue problem ⋮ Local and Parallel Finite Element Schemes for the Elastic Transmission Eigenvalue Problem ⋮ Analysis and computation of the transmission eigenvalues with a conductive boundary condition ⋮ A multi-level method for transmission eigenvalues of anisotropic media ⋮ A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem ⋮ Recursive integral method for transmission eigenvalues ⋮ Approximation of the zero-index transmission eigenvalues with a conductive boundary and parameter estimation ⋮ A multilevel correction method for interior transmission eigenvalue problem ⋮ On the transmission eigenvalue problem for the acoustic equation with a negative index of refraction and a practical numerical reconstruction method ⋮ A mixed element scheme for the Helmholtz transmission eigenvalue problem for anisotropic media ⋮ Reconstruction of modified transmission eigenvalues using Cauchy data ⋮ A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves ⋮ A novel spectral approximation and error estimation for transmission eigenvalues in spherical domains ⋮ Stability in the inverse nodal solution for the interior transmission problem ⋮ An efficient spectral-Galerkin approximation based on dimension reduction scheme for transmission eigenvalues in polar geometries ⋮ Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory ⋮ On the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues ⋮ The uniqueness for inverse discrete transmission eigenvalue problems ⋮ A multigrid method for Helmholtz transmission eigenvalue problems ⋮ A two-grid discretization scheme of non-conforming finite elements for transmission eigenvalues ⋮ On spectral analysis and a novel algorithm for transmission eigenvalue problems ⋮ Nonconforming Finite Element Method for the Transmission Eigenvalue Problem ⋮ Reconstruction of the refractive index from transmission eigenvalues for spherically stratified media ⋮ An efficient spectral-Galerkin approximation and error analysis for Maxwell transmission eigenvalue problems in spherical geometries ⋮ A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem ⋮ A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem ⋮ Nonconforming elements of class \(L^2\) for Helmholtz transmission eigenvalue problems ⋮ Spectral approximation to a transmission eigenvalue problem and its applications to an inverse problem ⋮ A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem ⋮ A uniqueness theorem from partial transmission eigenvalues and potential on a subdomain ⋮ An inverse medium problem using Stekloff eigenvalues and a Bayesian approach ⋮ An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem ⋮ An inverse uniqueness on the index of refraction with a transition region ⋮ A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem ⋮ Inverse uniqueness in interior transmission problem and its eigenvalue tunneling in simple domain ⋮ On certain translation invariant properties of interior transmission spectra and their Doppler's effect ⋮ A Legendre-Galerkin spectral approximation and estimation of the index of refraction for transmission eigenvalues ⋮ Mixed Methods for the Helmholtz Transmission Eigenvalues ⋮ Bayesian inversion for an inverse spectral problem of transmission eigenvalues ⋮ Non-conforming finite element methods for transmission eigenvalue problem ⋮ A C\(^{0}\)IP method of transmission eigenvalues for elastic waves ⋮ Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem ⋮ Distribution of transmission eigenvalues and inverse spectral analysis with partial information on the refractive index ⋮ On the inverse spectral theory in a non-homogeneous interior transmission problem ⋮ Some results on electromagnetic transmission eigenvalues
This page was built for publication: Estimation of transmission eigenvalues and the index of refraction from Cauchy data