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Eigenvalue approximation by mixed and hybrid methods


Authors: B. Mercier, J. Osborn, J. Rappaz and P.-A. Raviart
Journal: Math. Comp. 36 (1981), 427-453
MSC: Primary 65N25; Secondary 65N15, 65N30
MathSciNet review: 606505
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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.


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DOI: https://doi.org/10.1090/S0025-5718-1981-0606505-9
Article copyright: © Copyright 1981 American Mathematical Society