Generalized local projection stabilized finite element method for advection-reaction problems
Numerical Analysis
2020-09-02 v1 Numerical Analysis
Abstract
A priori analysis for a generalized local projection stabilized finite element approximations for the solution of an advection-reaction equation is presented in this article. The stability and a priori error estimates are established for both the conforming and the nonconforming (Crouzeix-Raviart) approximations with respect to the local projection streamline derivative norm. Finally, the validation of the proposed stabilization scheme and verification of the the derived estimates are presented with appropriate numerical experiments.
Keywords
Cite
@article{arxiv.2009.00532,
title = {Generalized local projection stabilized finite element method for advection-reaction problems},
author = {Deepika Garg and Sashikumaar Ganesan},
journal= {arXiv preprint arXiv:2009.00532},
year = {2020}
}
Comments
25 PAGES, 14 FIGURES