Uniformly stable mixedhp-finite elements on multilevel adaptive grids with hanging nodes

Friedhelm Schieweck
2008 Mathematical Modelling and Numerical Analysis  
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 Pr−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. Mathematics Subject Classification.
more » ... ct Classification. 65N30, 65N35, 76D07.
doi:10.1051/m2an:2008014 fatcat:vytuy57l7zdj7ab562ldkoicxa