A finite element method by patch reconstruction for the Stokes problem using mixed formulations
Numerical Analysis
2019-10-01 v3
Abstract
In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed. The proposed method has a great flexibility in velocity-pressure space pairs whose stability properties are confirmed by the inf-sup tests. Numerical examples show the applicability and efficiency of the proposed method.
Cite
@article{arxiv.1806.09399,
title = {A finite element method by patch reconstruction for the Stokes problem using mixed formulations},
author = {Ruo Li and Zhiyuan Sun and Fanyi Yang and Zhijian Yang},
journal= {arXiv preprint arXiv:1806.09399},
year = {2019}
}