Adaptive finite element methods for the Laplace eigenvalue problem

DOI10.1515/JNUM.2010.014zbMath1222.65122OpenAlexW2064474908MaRDI QIDQ3068199

Ronald H. W. Hoppe, Hai-jun Wu, Zhimin Zhang

Publication date: 13 January 2011

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum.2010.014

zbMATH Keywords

convergencenumerical experimentsadaptive finite element methodsmesh refinementa posteriori error analysisLaplace eigenvalue problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (6)

A Fourier continuation method for the solution of elliptic eigenvalue problems in general domains ⋮ A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems ⋮ New schemes with fractal error compensation for PDE eigenvalue computations ⋮ An adaptive approach to solutions of Fredholm integral equations of the second kind ⋮ Multi-neighboring grids schemes for solving PDE eigen-problems ⋮ Superconvergent two-grid methods for elliptic eigenvalue problems

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