Laplace eigenvalues on regular polygons: a series in \(1/N\)

DOI10.1016/j.jmaa.2011.06.035zbMath1227.65108OpenAlexW2051639010MaRDI QIDQ641563

Gilbert Strang, Pavel Grinfeld

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.035

zbMATH Keywords

spectrum of the Laplacianregular polygonscalculus of moving surfacesHadamard's formula

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 (7)

Notes on the nonlinear dependence of a multiscale coupled system with respect to the interface ⋮ On Rayleigh's formula for the first Dirichlet eigenvalue of a radial perturbation of a ball ⋮ Domain dependence of eigenvalues of elliptic type operators ⋮ Hadamard's formula inside and out ⋮ Some Neumann-Bessel series and the Laplacian on polygons ⋮ A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian ⋮ Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems

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