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Paper detail

An overlapping local projection stabilization for Galerkin approximations of Darcy and Stokes problems

A priori analysis for a generalized local projection stabilized conforming finite element approximation of Darcy flow and Stokes problems is presented in this paper. A first-order conforming P1 finite element space is used to approximate both the velocity and the pressure. It is shown that the stabilized discrete bilinear form satisfy the inf-sup condition with respect to a generalized local projection norm. Moreover, a priori error estimates are derived for both problems. Finally, the validation of the proposed stabilization scheme is demonstrated with appropriate numerical examples.

preprint2020arXivOpen access
Deepika GargSashikumaar Ganesan
math.NANumerical Analysis
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Deepika GargSashikumaar Ganesan

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