We consider higher order mixed finite element methods for the incompressible Stokes or Navier-Stokes equations with -elements for the velocity and discontinuous -elements for the pressure where the order can vary from element to element between and a fixed bound . We prove the inf-sup condition uniformly with respect to the meshwidth on general quadrilateral and hexahedral meshes with hanging nodes.
Mots clés : inf-sup condition, higher order mixed finite element, adaptive grids, hanging nodes
@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: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {1--20}, publisher = {EDP-Sciences}, volume = {41}, number = {1}, year = {2007}, doi = {10.1051/m2an:2007005}, mrnumber = {2323688}, zbl = {1129.65086}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2007005/} }
TY - JOUR AU - Heuveline, Vincent AU - Schieweck, Friedhelm TI - On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2007 SP - 1 EP - 20 VL - 41 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2007005/ DO - 10.1051/m2an:2007005 LA - en ID - M2AN_2007__41_1_1_0 ER -
%0 Journal Article %A Heuveline, Vincent %A Schieweck, Friedhelm %T On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes %J ESAIM: Modélisation mathématique et analyse numérique %D 2007 %P 1-20 %V 41 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2007005/ %R 10.1051/m2an:2007005 %G en %F 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: 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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