## Mixed hp-DGFEM for incompressible flows.(English)Zbl 1055.76032

An abstract framework is developed for several mixed discontinuous Galerkin (DG) approximations of Stokes problem. Within this framework, a priori error estimates for $$hp$$-approximations on tensor product meshes are derived, and a new stability estimate for discrete bilinear form is given.

### MSC:

 76M10 Finite element methods applied to problems in fluid mechanics 76D07 Stokes and related (Oseen, etc.) flows 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs

### Keywords:

nuerical stability
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