Mass-lumping or not mass-lumping for eigenvalue problems

DOI10.1002/num.10058zbMath1041.65086OpenAlexW1988450553MaRDI QIDQ4434495

Ricardo G. Durán, María Gabriela Armentano

Publication date: 10 November 2003

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.10058

zbMATH Keywords

finite elementsnumerical exampleselliptic eigenvalue problemsmass-lumpingsingular eigenfunctions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (7)

The effect of reduced integration in the Steklov eigenvalue problem ⋮ Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods ⋮ Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions ⋮ CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS ⋮ Solving Eigenvalue Problems in a Discontinuous Approximation Space by Patch Reconstruction ⋮ A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods ⋮ Isoparametric numerical integration on enriched 4D simplicial elements

Cites Work

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• Asymptotic lower bounds for the fundamental frequency of convex membranes
• Estimation of the effect of numerical integration in finite element eigenvalue approximation
• Asymptotic lower bounds for the frequencies of certain polygonal membranes
• Upper and lower bounds for eigenvalues by finite difference methods
• The Eigenvalues of an Equilateral Triangle
• SNOWFLAKE HARMONICS AND COMPUTER GRAPHICS: NUMERICAL COMPUTATION OF SPECTRA ON FRACTAL DRUMS

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