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Uniformly stable mixed hp-finite elementson multilevel adaptive grids with hanging nodes
Published online by Cambridge University Press: 03 April 2008
Abstract
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 $P_{r-1}$-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.
Keywords
- Type
- Research Article
- Information
- ESAIM: Mathematical Modelling and Numerical Analysis , Volume 42 , Issue 3 , May 2008 , pp. 493 - 505
- Copyright
- © EDP Sciences, SMAI, 2008
References
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