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

Heuveline, Vincent; Schieweck, Friedhelm

Heuveline, Vincent ; Schieweck, Friedhelm

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 41 (2007), p. 1-20 / Harvested from Numdam

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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.

Publié le : 2007-01-01

MR 2323688 | Zbl 1129.65086 | 1 citation dans Numdam

DOI : https://doi.org/10.1051/m2an:2007005
Classification: 65N30, 65N35

@article{M2AN_2007__41_1_1_0,
     author = {Heuveline, Vincent and Schieweck, Friedhelm},
     title = {On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {41},
     year = {2007},
     pages = {1-20},
     doi = {10.1051/m2an:2007005},
     mrnumber = {2323688},
     zbl = {1129.65086},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2007__41_1_1_0}
}

Heuveline, Vincent; Schieweck, Friedhelm. On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 41 (2007) pp. 1-20. doi : 10.1051/m2an:2007005. http://gdmltest.u-ga.fr/item/M2AN_2007__41_1_1_0/

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