Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes
Institut für Analysis und Numerik,
Postfach 4120, 39016 Magdeburg, Germany. firstname.lastname@example.org
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.
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