We present a new enriched Galerkin (EG) scheme for the Stokes equations based on piecewise linear elements velocity unknowns and constant pressure. The proposed EG method augments conforming space by adding an additional degree of freedom which corresponds to one discontinuous basis function per element. Thus, total number degrees is significantly reduced in comparison with standard conforming,...

Abstract A new family of hybrid/mixed finite elements optimized for numerical stability is introduced. It comprises a linear hexahedral and quadratic tetrahedral elements. The element formulation derived from consistent linearization well-known three-field functional related to Simo–Taylor–Pister () For the we derive (static reduced) discontinuous hybrid elements, as well continuous mixed with ...

We consider a finite element method of higher order on a quadrilateral or triangular, hexahedral or tetrahedral mesh for solving the Stokes or Navier–Stokes problem by means of discontinuous elements for the pressure and suitable conforming elements for the velocity such that the global and the local inf-sup condition are satisfied. Our goal is the construction of a multigrid solver for the cor...