Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow |
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| Authors: | W Dö rfler M Ainsworth |
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| Institution: | Institut für Angewandte Mathematik II, Univ. Karlsruhe, 76128 Karlsruhe, Germany ; Department of Mathematics, Strathclyde University, 26 Richmond St., Glasgow G1 1XH, Scotland |
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| Abstract: | We derive computable a posteriori error estimates for the lowest order nonconforming Crouzeix-Raviart element applied to the approximation of incompressible Stokes flow. The estimator provides an explicit upper bound that is free of any unknown constants, provided that a reasonable lower bound for the inf-sup constant of the underlying problem is available. In addition, it is shown that the estimator provides an equivalent lower bound on the error up to a generic constant. |
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| Keywords: | Computable error bounds a posteriori error estimates nonconforming finite elements Stokes flow |
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