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A posteriori estimates for the Stokes eigenvalue problem
Author(s) -
Lovadina Carlo,
Lyly Mikko,
Stenberg Rolf
Publication year - 2009
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20342
Subject(s) - eigenvalues and eigenvectors , mathematics , a priori and a posteriori , computation , stokes problem , partial differential equation , partial derivative , mathematical analysis , finite element method , algorithm , philosophy , physics , epistemology , quantum mechanics , thermodynamics
We consider the Stokes eigenvalue problem. For the eigenvalues we derive both upper and lower a‐posteriori error bounds. The estimates are verified by numerical computations. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009