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Inf-sup conditions for the mortar spectral element discretization of the Stokes problem

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Summary. The aim of this paper is to prove some Babuška–Brezzi type conditions which are involved in the mortar spectral element discretization of the Stokes problem, for several cases of nonconforming domain decompositions.

Résumé.

Le but de cet article est de prouver la condition inf-sup de Babuška–Brezzi qui intervient dans la discrétisation par éléments spectraux du problème de Stokes, dans le cas de plusieurs décompositions de domaine non conformes traitées par méthode de joints.

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Authors and Affiliations

  1. M.I.P. (UMR C.N.R.S. 5640), Université Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex, France , , , , , , FR

    F. Ben Belgacem

  2. Analyse Numérique, C.N.R.S. & Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, F-75252 Paris Cedex 05, France , , , , , , FR

    C. Bernardi, N. Chorfi & Y. Maday

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  1. F. Ben Belgacem
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  2. C. Bernardi
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  3. N. Chorfi
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  4. Y. Maday
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Received March 31, 1998 / Published online February 17, 2000

RID=""

ID=""<E5>Correspondence to:</E5> C. Bernardi

RID=""

ID="" <E5>Dedicated to Olof B. Widlund on the occasion of his 60th birthday</E5>

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Belgacem, F., Bernardi, C., Chorfi, N. et al. Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Numer. Math. 85, 257–281 (2000). https://doi.org/10.1007/PL00005388

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  • DOI: https://doi.org/10.1007/PL00005388