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An optimally consistent stabilization of the inf-sup condition

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Summary.

It can be problematic to compute using a finite element method approximate solutions of problems under constraints if spaces of approximations are not compatible. If however such spaces are chosen, the discrete problem must be modified for a unique solution to exist. An (optimal) perturbation, based on an optimized Verfürth Lemma, is analyzed.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, Université Clermont-Ferrand 2 et CNRS (UMR 6620), 63177 Aubière Cedex, France , , , , , , FR

    G. Leborgne

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  1. G. Leborgne
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Received September 1, 1997 / Revised version received April 20, 2000 / Published online July 25, 2001

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Leborgne, G. An optimally consistent stabilization of the inf-sup condition. Numer. Math. 91, 35–56 (2002). https://doi.org/10.1007/s002110100318

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  • DOI: https://doi.org/10.1007/s002110100318

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