| Issue |
ESAIM: M2AN
Volume 41, Number 1, January-February 2007
|
|
|---|---|---|
| Page(s) | 1 - 20 | |
| DOI | https://doi.org/10.1051/m2an:2007005 | |
| Published online | 26 April 2007 | |
On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes
1
Institute for Applied Mathematics II,
University Karlsruhe (TH),
Postfach 6980,
76128 Karlsruhe, Germany. vincent.heuveline@math.uni-karlsruhe.de
2
Scientific Supercomputing Center,
University of Karlsruhe (TH), Zirkel 2,
76128 Karlsruhe, Germany. vincent.heuveline@rz.uni-karlsruhe.de
3
Institut für Analysis und Numerik,
Otto-von-Guericke-Universität Magdeburg,
Postfach 4120, 39016 Magdeburg, Germany. friedhelm.schieweck@mathematik.uni-magdeburg.de
Received:
3
October
2005
Revised:
30
August
2006
We consider higher order mixed finite element methods for the incompressible
Stokes or Navier-Stokes equations with Qr-elements for the velocity and
discontinuous 
-elements for the pressure where the order
r can vary from element to element
between 2 and a fixed bound 
.
We prove the inf-sup condition uniformly with respect to the meshwidth h
on general quadrilateral and hexahedral meshes with hanging nodes.
Mathematics Subject Classification: 65N30 / 65N35
Key words: Inf-sup condition / higher order mixed finite element / adaptive grids / hanging nodes.
© EDP Sciences, SMAI, 2007
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