A boundary integral modification of the Galerkin least squares formulation for the Stokes problem. (English) Zbl 0845.76038

Summary: A new boundary integral term is added to the Galerkin least squares (GLS) formulation. The new formulation compensates for a lack of consistency noted for the traditional GLS method when bilinear interpolation is used on quadrilateral elements. Exact solutions at the nodes are obtained for Poiseuille flow and another test problem, and the pressure singularity for the driven cavity is better captured.


76M10 Finite element methods applied to problems in fluid mechanics
76D07 Stokes and related (Oseen, etc.) flows
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