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Augmented Stabilized and Galerkin Least Squares Formulations
2016
Journal of Mathematics Research
We study incompressible fluid flow problems with stabilized formulations. We introduce an iterative penalty approach to satisfying the divergence free constraint in the Streamline Upwind Petrov Galerkin (SUPG) and Galerkin Least Squares (GLS) formulations, and prove the stability of the formulation. Equal order interpolations for both velocities and pressure variables are utilized for solving problems as opposed to div-stable pairs used earlier. Higher order spectral/$hp$ approximations are
doi:10.5539/jmr.v8n6p1
fatcat:kvbxonkeazfgbeaorgoeft34r4