Eigenvalue approximation by mixed and hybrid methods

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

doi:10.1090/S0025-5718-1981-0606505-9

Eigenvalue approximation by mixed and hybrid methods
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by B. Mercier, J. Osborn, J. Rappaz and P.-A. Raviart PDF

Math. Comp. 36 (1981), 427-453 Request permission

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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