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Zbl 1169.65109
Lovadina, Carlo; Lyly, Mikko; Stenberg, Rolf
A posteriori estimates for the Stokes eigenvalue problem. (English)
[J] Numer. Methods Partial Differ. Equations 25, No. 1, 244-257 (2009). ISSN 0749-159X; ISSN 1098-2426/e

The authors derive upper and lower a posteriori bounds (in terms of a generic constant independent of the mesh length) for the truncation errors in standard finite element estimates of the solution of the Stokes eigenvalue problem in two or three dimensions.
[Alan L. Andrew (Bundoora)]

MSC 2000:: *65N25 Numerical methods for eigenvalue problems (BVP of PDE)
65N15 Error bounds (BVP of PDE)
65N30 Finite numerical methods (BVP of PDE)
35P15 Estimation of eigenvalues for PD operators

Keywords: Stokes eigenvalue problem; finite elements; adaptive computation; a posteriori error estimates

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