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Zbl 0683.65095
Geveci, Tunc; Reddy, B.Daya; Pearce, Howard T.
On the approximation of the spectrum of the Stokes operator. (English)
[J] RAIRO, Modélisation Math. Anal. Numér. 23, No.1, 129-136 (1989). ISSN 0764-583X

The Stokes problem is considered in a bounded domain. It is proved that there exists an infinite sequence of eigenvalues and a corresponding sequence of eigenfunctions of the Stokes operator. Error estimates are derived for the approximate calculation of the eigenvalues of the Stokes operator. These estimates are valid for the regularized version of mixed methods which are used for the approximate solution of the Stokes problem.
[Z.Dżygadło]

MSC 2000:: *65N25 Numerical methods for eigenvalue problems (BVP of PDE)
65N15 Error bounds (BVP of PDE)
76D07 Stokes flows
35P15 Estimation of eigenvalues for PD operators

Keywords: spectrum; Stokes problem; eigenvalues; eigenfunctions; Stokes operator; Error estimates; mixed methods

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