A numerical investigation of the solution of a class of fourth–order eigenvalue problems

DOI10.1098/rspa.2000.0573zbMath0977.65101OpenAlexW2071788101MaRDI QIDQ2713413

E. Brian Davies, B. Malcolm Brown, Peter K. Jimack

Publication date: 3 January 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/1711/1/jimackp13_BDJM99.pdf

zbMATH Keywords

convergencenumerical examplesfinite elementeigenfunctionsspectral theorybiharmonic problem

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

Related Items (10)

Stokes eigenmodes in square domain and the stream function-vorticity correlation ⋮ A boundary integral equation method for mode elimination and vibration confinement in thin plates with clamped points ⋮ Numerical performance of parallel group explicit solvers for the solution of fourth order elliptic equations ⋮ Spectral analysis of a generalized buckling problem on a ball ⋮ Accurate inverses for computing eigenvalues of extremely ill-conditioned matrices and differential operators ⋮ A biharmonic converse to Krein-Rutman: a maximum principle near a positive eigenfunction ⋮ Nodal properties of eigenfunctions of a generalized buckling problem on balls ⋮ Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method. ⋮ Asymptotic expansion and extrapolation for the eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme ⋮ Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles

This page was built for publication: A numerical investigation of the solution of a class of fourth–order eigenvalue problems