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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 and discontinuous -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.

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