On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes

Heuveline, Vincent; Schieweck, Friedhelm

doi:10.1051/m2an:2007005

Heuveline, Vincent ; Schieweck, Friedhelm

ESAIM: Modélisation mathématique et analyse numérique, Tome 41 (2007) no. 1, pp. 1-20.

Résumé

We consider higher order mixed finite element methods for the incompressible Stokes or Navier-Stokes equations with $Q_{r}$ -elements for the velocity and discontinuous $P_{r - 1}$ -elements for the pressure where the order $r$ can vary from element to element between $2$ and a fixed bound $r^{*}$ . We prove the inf-sup condition uniformly with respect to the meshwidth $h$ on general quadrilateral and hexahedral meshes with hanging nodes.

MR Zbl | 1 citation dans Numdam

DOI : 10.1051/m2an:2007005

Classification : 65N30, 65N35
Mots clés : inf-sup condition, higher order mixed finite element, adaptive grids, hanging nodes

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Heuveline, Vincent; Schieweck, Friedhelm. On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes. ESAIM: Modélisation mathématique et analyse numérique, Tome 41 (2007) no. 1, pp. 1-20. doi : 10.1051/m2an:2007005. http://www.numdam.org/articles/10.1051/m2an:2007005/

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