Volume 41, Number 1, January-February 2007
|Page(s)||1 - 20|
|Published online||26 April 2007|
On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes
Institute for Applied Mathematics II,
University Karlsruhe (TH),
76128 Karlsruhe, Germany. firstname.lastname@example.org
2 Scientific Supercomputing Center, University of Karlsruhe (TH), Zirkel 2, 76128 Karlsruhe, Germany. email@example.com
3 Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Postfach 4120, 39016 Magdeburg, Germany. firstname.lastname@example.org
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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