Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media - MaRDI portal

The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media

From MaRDI portal
Publication:3359890

DOI10.1137/0522109zbMath0733.76065OpenAlexW2033969794MaRDI QIDQ3359890

Sleeman, Brian D., Bryan P. Rynne

Publication date: 1991

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0522109




Related Items (53)

Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problemsInterior transmission eigenvalue problem with refractive index having C2-transition to the background mediumTransmission eigenvalue problem for inhomogeneous absorbing media with mixed boundary conditionAn approximation problem in inverse scattering theoryBilaplacian problems with a sign-changing coefficientLooking Back on Inverse Scattering TheoryThe inverse discrete transmission eigenvalue problem for absorbing mediaAn adaptive finite element method for the transmission eigenvalue problemOn vanishing near corners of transmission eigenfunctionsSharp Weyl Law for Signed Counting Function of Positive Interior Transmission EigenvaluesAn efficient spectral-Galerkin approximation based on dimension reduction scheme for transmission eigenvalues in polar geometriesThe interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundaryOn trajectories of complex-valued interior transmission eigenvaluesAn \(H^m\)-conforming spectral element method on multi-dimensional domain and its application to transmission eigenvaluesA spectral-element method for transmission eigenvalue problemsA new multigrid finite element method for the transmission eigenvalue problemsLocal and parallel finite element algorithms for the transmission eigenvalue problemOn the Discreteness of Transmission Eigenvalues for the Maxwell EquationsA fixed energy fixed angle inverse scattering in interior transmission problemFiniteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz WavesRadiating and non-radiating sources in elasticityNonlocal impedance conditions in direct and inverse obstacle scatteringInverse transmission eigenvalue problems with the twin-dense nodal subsetDiscreteness of interior transmission eigenvalues revisitedThe (F*F)1/4-method for the transmission problem in two-dimensional linear elasticityNonconforming elements of class \(L^2\) for Helmholtz transmission eigenvalue problemsOn the determination of Dirichlet or transmission eigenvalues from far field dataOn the spectrum of the interior transmission problem in isotropic elasticitySpectral approximation to a transmission eigenvalue problem and its applications to an inverse problemSolvability of interior transmission problem for the diffusion equation by constructing its Green functionOn the use of \(T\)-coercivity to study the interior transmission eigenvalue problemA \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problemOn the existence of transmission eigenvalues in an inhomogeneous mediumOn the existence and uniqueness of a solution to the interior transmission problem for piecewise-homogeneous solidsInverse ScatteringAn adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problemAn inverse uniqueness on the index of refraction with a transition regionInverse uniqueness in interior transmission problem and its eigenvalue tunneling in simple domainOn certain translation invariant properties of interior transmission spectra and their Doppler's effectA Legendre-Galerkin spectral approximation and estimation of the index of refraction for transmission eigenvaluesMixed Methods for the Helmholtz Transmission EigenvaluesNon-conforming finite element methods for transmission eigenvalue problemOn the Nonexistence of Transmission Eigenvalues for Regions with CavitiesOn an electromagnetic problem in a corner and its applicationsA uniqueness theorem on the eigenvalues of spherically symmetric interior transmission problem in absorbing mediumReconstruction for the spherically symmetric speed of sound from nodal dataShape reconstruction of a 2D-elastic penetrable object via the L-curve methodA multistep reciprocity gap functional method for the inverse problem in a multilayered mediumScattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering ProblemsOn the geometric structures of transmission eigenfunctions with a conductive boundary condition and applicationsOn the inverse spectral theory in a non-homogeneous interior transmission problemInverse scattering by penetrable objects in two-dimensional elastodynamicsIdentifying defects in an unknown background using differential measurements




This page was built for publication: The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media