Spectral pollution and eigenvalue bounds

DOI10.1016/j.apnum.2015.08.007zbMath1329.65261OpenAlexW1413718565MaRDI QIDQ891685

Lyonell Boulton

Publication date: 17 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.08.007

zbMATH Keywords

Galerkin methodprojection methodsspurious eigenvaluesspectral pollutionnumerical estimation of eigenvalue boundssecond order spectrum

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spectrum, resolvent (47A10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

New convergence mode for the generalized spectrum approximation ⋮ GENERALIZED QUADRATIC SPECTRUM APPROXIMATION IN BOUNDED AND UNBOUNDED CASES ⋮ Computation of sharp estimates of the Poincaré constant on planar domains with piecewise self-similar boundary ⋮ Iterative Galerkin discretizations for strongly monotone problems

Uses Software

• Octave
• FreeFem++

Cites Work

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