On the first Laplacian eigenvalue of an elliptical membrane

DOI10.1007/S12215-024-01142-ZMaRDI QIDQ6667758

Abdelqoddous Moussa, Mohammed Moussa

Publication date: 20 January 2025

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesnumerical methodsDirichlet Laplacianelliptical domains

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

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• Eigenvalues of the Laplacian on an elliptic domain
• High-precision calculation of the eigenvalues of the Laplace operator
• Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises.
• Dieter Gaier's contributions to numerical conformal mapping
• Parameter and domain dependence of eigenvalues of elliptic partial differential equations
• Eigenfrequencies of an Elliptic Membrane
• Visualization of Special Eigenmode Shapes of a Vibrating Elliptical Membrane

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