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higher order mixed finite element

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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On the inf-sup condition for higher order mixed FEMon mesheswith hanging nodes
Vincent Heuveline, Friedhelm Schieweck
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.