High-accuracy calculation of eigenvalues of the Laplacian in an ellipse (with Neumann boundary condition)

DOI10.1134/S1064562419030050zbMath1428.65071OpenAlexW2966786205MaRDI QIDQ2332081

Sergey D. Algazin

Publication date: 1 November 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419030050

zbMATH Keywords

eigenvalue problemvariational principleLaplacianquadratic functionalalgebraic eigenvalue problemMathieu functions

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Variational methods applied to PDEs (35A15) Linear-quadratic optimal control problems (49N10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical quadrature and cubature formulas (65D32) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (1)

Approximation of positive semidefinite nonlinear eigenvalue problems

Cites Work

• Unnamed Item
• Numerical study of single-phase gas filtration in a porous medium
• Computing elliptic membrane high frequencies by Mathieu and Galerkin methods
• High-precision calculation of the eigenvalues of the Laplace operator
• Natural oscillations of a heavy fluid in an elliptic vessel
• Eigenfrequencies of an Elliptic Membrane

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