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. email@example.com
2 Scientific Supercomputing Center, University of Karlsruhe (TH), Zirkel 2, 76128 Karlsruhe, Germany. firstname.lastname@example.org
3 Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Postfach 4120, 39016 Magdeburg, Germany. email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.