| Issue |
ESAIM: M2AN
Volume 42, Number 3, May-June 2008
|
|
|---|---|---|
| Page(s) | 493 - 505 | |
| DOI | https://doi.org/10.1051/m2an:2008014 | |
| Published online | 03 April 2008 | |
Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes
Institut für Analysis und Numerik,
Otto-von-Guericke-Universität Magdeburg,
Postfach 4120, 39016 Magdeburg, Germany. schiewec@ovgu.de
Received:
10
January
2007
Revised:
2
October
2007
We consider a family of quadrilateral or hexahedral
mixed hp-finite elements for an incompressible
flow problem 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 an arbitrary bound.
For multilevel adaptive grids
with hanging nodes and a sufficiently small mesh size,
we prove the inf-sup condition uniformly with respect to the mesh
size and the polynomial degree.
Mathematics Subject Classification: 65N30 / 65N35 / 76D07
Key words: Stokes problem / inf-sup condition / mixed hp-FEM / quadrilateral and hexahedral finite elements / multilevel adaptive grids / hanging nodes.
© EDP Sciences, SMAI, 2008
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