A conforming discontinuous Galerkin finite element method for Brinkman equations
Numerical Analysis
2023-03-21 v1 Numerical Analysis
Abstract
In this paper, we present a conforming discontinuous Galerkin (CDG) finite element method for Brinkman equations. The velocity stabilizer is removed by employing the higher degree polynomials to compute the weak gradient. The theoretical analysis shows that the CDG method is actually stable and accurate for the Brinkman equations. Optimal order error estimates are established in and norm. Finally, numerical experiments verify the stability and accuracy of the CDG numerical scheme.
Keywords
Cite
@article{arxiv.2303.10359,
title = {A conforming discontinuous Galerkin finite element method for Brinkman equations},
author = {Haoning Dang and Qilong Zhai and Zhongshu Zhao},
journal= {arXiv preprint arXiv:2303.10359},
year = {2023}
}
Comments
24 pages, 8 tables, 3 figures