A multi-level method for transmission eigenvalues of anisotropic media

DOI10.1016/j.jcp.2013.08.030zbMath1349.65604OpenAlexW2087633442MaRDI QIDQ348252

Xia Ji, Jiguang Sun

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.08.030

zbMATH Keywords

finite element methodanisotropic mediatransmission eigenvaluesArnoldi iteration

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Composite media; random media in optics and electromagnetic theory (78A48) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media ⋮ \(C^0\)IP methods for the transmission eigenvalue problem ⋮ A spectral projection method for transmission eigenvalues ⋮ Improvement of the Inside-Outside Duality Method ⋮ Recursive integral method for transmission eigenvalues ⋮ A multilevel correction method for interior transmission eigenvalue problem ⋮ Computing interior transmission eigenvalues for homogeneous and anisotropic media ⋮ A mixed element scheme for the Helmholtz transmission eigenvalue problem for 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 ⋮ The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium ⋮ A boundary integral equation method for the transmission eigenvalue problem ⋮ The method of fundamental solutions for computing acoustic interior transmission eigenvalues ⋮ Bayesian inversion for an inverse spectral problem of transmission eigenvalues

Uses Software

• Algorithm 922

Cites Work

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