2 results
Uniformly stable mixed hp-finite elementson multilevel adaptive grids with hanging nodes
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- Journal:
- ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 3 / May 2008
- Published online by Cambridge University Press:
- 03 April 2008, pp. 493-505
- Print publication:
- May 2008
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We consider a family of quadrilateral or hexahedral mixed hp-finite elements for an incompressible flow problem with Q r -elements for the velocity anddiscontinuous $P_{r-1}$
-elements for the pressure where the orderr can vary from element to elementbetween 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 meshsize and the polynomial degree.
On the inf-sup condition for higher order mixed FEMon mesheswith hanging nodes
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- Journal:
- ESAIM: Mathematical Modelling and Numerical Analysis / Volume 41 / Issue 1 / January 2007
- Published online by Cambridge University Press:
- 26 April 2007, pp. 1-20
- Print publication:
- January 2007
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We consider higher order mixed finite element methods for the incompressible Stokes or Navier-Stokes equations with Q r -elements for the velocity anddiscontinuous $P_{r-1}$
-elements for the pressure where the orderr can vary from element to elementbetween 2 and a fixed bound $r^*$ 
.We prove the inf-sup condition uniformly with respect to the meshwidth hon general quadrilateral and hexahedral meshes with hanging nodes.
