An overlapping local projection stabilization for Galerkin approximations of Darcy and Stokes problems
Numerical Analysis
2020-09-02 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2009.00571,
title = {An overlapping local projection stabilization for Galerkin approximations of Darcy and Stokes problems},
author = {Deepika Garg and Sashikumaar Ganesan},
journal= {arXiv preprint arXiv:2009.00571},
year = {2020}
}
Comments
23 PAGES, 11 FIGURES