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High-precision calculation of the eigenvalues of the Laplace operator

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Publication:1048490
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DOI10.1134/S1064562408050086zbMath1181.65133OpenAlexW2114831288MaRDI QIDQ1048490

Sergey D. Algazin

Publication date: 12 January 2010

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

Full work available at URL: https://doi.org/10.1134/s1064562408050086


zbMATH Keywords

finite element methodnumerical exampleseigenvaluesLaplace operatoreigenfunction


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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)


Related Items (2)

High-accuracy calculation of eigenvalues of the Laplacian in an ellipse (with Neumann boundary condition) ⋮ Approximation of positive semidefinite nonlinear eigenvalue problems



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