Geodesic
On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 1, pp. 1-20

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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 and discontinuous P r-1 -elements for the pressure where the order r can vary from element to element between 2 and a fixed bound r * . We prove the inf-sup condition uniformly with respect to the meshwidth h on general quadrilateral and hexahedral meshes with hanging nodes.

DOI : 10.1051/m2an:2007005
Classification : 65N30, 65N35
Keywords: inf-sup condition, higher order mixed finite element, adaptive grids, hanging nodes 
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     author = {Heuveline, Vincent and Schieweck, Friedhelm},
     title = {On the inf-sup condition for higher order mixed {FEM} on meshes with hanging nodes},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1--20},
     publisher = {EDP-Sciences},
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     doi = {10.1051/m2an:2007005},
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     zbl = {1129.65086},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007005/}
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Heuveline, Vincent; Schieweck, Friedhelm. On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 1, pp. 1-20. doi: 10.1051/m2an:2007005

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