Eigenvalue approximation by mixed and hybrid methods-Reference-Cited by-同舟云学术

Eigenvalue approximation by mixed and hybrid methods

Published:1981 Issue:154 Volume:36 Page:427-453
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Mercier B.,Osborn J.,Rappaz J.,Raviart P.-A.

Abstract

Rate of convergence estimates are derived fro the approximation of eigenvalues and eigenvectors by mixed and hybrid methods. Several closely related abstract results on spectral approximation are proved. These results are then applied to a variety of finite element methods of mixed and hybrid type: a mixed method for 2nd order problems, mixed methods for 4th order problems, a hybrid method for 2nd order problems, and two mixed methods for the Stokes eigenvalue problem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1981-36-154/S0025-5718-1981-0606505-9/S0025-5718-1981-0606505-9.pdf

Reference45 articles.

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3. Numerical treatment of eigenvalue problems for differential equations with discontinuous coefficients;Babuška, I.;Math. Comp.,1978

4. Rate of convergence estimates for nonselfadjoint eigenvalue approximations;Bramble, J. H.;Math. Comp.,1973

5. Analysis of mixed methods using mesh dependent norms;Babuška, I.;Math. Comp.,1980

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