Finite Element Methods for Eigenvalue Problems

DOI10.1201/9781315372419zbMath1351.65085OpenAlexW2515103998MaRDI QIDQ2813071

Jiguang Sun, Aihui Zhou

Publication date: 15 June 2016

Full work available at URL: https://doi.org/10.1201/9781315372419

zbMATH Keywords

monographnumerical examplefinite elementseigenvalue problemdiscontinuous Galerkin methodmixed finite element methodGross-Pitaevskii equationquadratic eigenvalue problema posteriori error analysismatrix eigenvalue problemsMorley elementadaptive finite elementsArgyris elementtransmission eigenvalue problemcurl-curl problembiharmonic eigenvalue problemSchrödinger eigenvalue problemLaplace eigenvalue problemSakurai-Sugiura methodquad-curl eigenvalue problemMaxwell's eigenvalue problem\(C^0\) IPG methodcurl-conforming edge elementsintegral based eigenvalue solversPolozzi's methodprobing methodspectral approximation theory

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element methods applied to problems in solid mechanics (74S05) Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Computational methods for problems pertaining to quantum theory (81-08) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Higher-order elliptic equations (35J30) Maxwell equations (35Q61)

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Uses Software

• Matlab

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