Eigenvalue Characterization and Computation for the Laplacian on General 2-D Domains

DOI10.1080/01630560802099233zbMath1154.65084OpenAlexW2127130543MaRDI QIDQ3514737

James V. Lambers, Patrick Guidotti

Publication date: 23 July 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802099233

zbMATH Keywords

numerical experimentseigenfunctionmethod of particular solutionsFourier-Bessel expansionLaplacian eigenvalue problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

Construction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane ⋮ Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions ⋮ Computing ultra-precise eigenvalues of the Laplacian within polygons ⋮ Spectroscopy of drums and quantum billiards: Perturbative and nonperturbative results

Uses Software

• na26

Cites Work

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• Restarted block Lanczos bidiagonalization methods
• An accurate algorithm for computing the eigenvalues of a polygonal membrane
• Isospectral plane domains and surfaces via Riemannian orbifolds
• The Laplacian eigenvalues of a polygon
• Reviving the Method of Particular Solutions
• Approximations and Bounds for Eigenvalues of Elliptic Operators

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