Interior Transmission Eigenvalues for Anisotropic Media

DOI10.1007/978-3-319-59384-5_12zbMath1414.35069OpenAlexW2755543468MaRDI QIDQ4562846

David Colton, Andreas Kleefeld

Publication date: 18 December 2018

Published in: Integral Methods in Science and Engineering, Volume 1 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59384-5_12

zbMATH Keywords

nonlinear eigenvalue problemboundary integral equationstransmission eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)

Related Items (3)

Computing interior transmission eigenvalues for homogeneous and anisotropic media ⋮ The a posteriori error estimates and an adaptive algorithm of the FEM for transmission eigenvalues for anisotropic media ⋮ Finite element/holomorphic operator function method for the transmission eigenvalue problem

Cites Work

• An integral method for solving nonlinear eigenvalue problems
• Determining transmission eigenvalues of anisotropic inhomogeneous media from far field data
• Inverse scattering from an orthotropic medium
• Numerical computations of interior transmission eigenvalues for scattering objects with cavities
• Finite Element Methods for Eigenvalue Problems
• Inverse Scattering Theory and Transmission Eigenvalues
• Finite Element Methods for Maxwell's Transmission Eigenvalues
• A boundary integral equation method for the transmission eigenvalue problem
• The inside–outside duality for inverse scattering problems with near field data
• The inverse electromagnetic scattering problem for anisotropic media
• Inside-Outside Duality and the Determination of Electromagnetic Interior Transmission Eigenvalues
• The inside–outside duality for scattering problems by inhomogeneous media
• A numerical method to compute interior transmission eigenvalues

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