Multigrid Methods for Differential Eigenproblems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1983 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Scientific and Statistical Computing, volume 4, pages 244-260 (issn: 0196-5204, eissn: 2168-3417,

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Authors: Brandt, A.; McCormick, S.; Ruge, J.;

doi: 10.1137/0904019

Multigrid Methods for Differential Eigenproblems

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Abstract

This paper develops an efficient multigrid algorithm for solving the eigenvalue problem associated with a linear differential operator. The algorithm is based on the full approximation scheme (FAS) and incorporates a Ritz projection process for simultaneous computation of several eigenvalues and their eigenvectors. Included are the results of some numerical experiments that illustrate its performance in various contexts.

Keywords

Numerical methods for eigenvalue problems for boundary value problems involving PDEs, full approximation scheme, Estimates of eigenvalues in context of PDEs, multigrid algorithm, Ritz projection, numerical experiments, fast solver, Rayleigh quotient, Gauss-Seidel relaxation

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