A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method
Numerical Analysis
2019-07-05 v1 Numerical Analysis
Abstract
Recently, a new stabilizer free weak Galerkin method (SFWG) is proposed, which is easier to implement. The idea is to raise the degree of polynomials j for computing weak gradient. It is shown that if j>=j0 for some j0, then SFWG achieves the optimal rate of convergence. However, large j will cause some numerical difficulties. To improve the efficiency of SFWG and avoid numerical locking, in this note, we provide the optimal j0 with rigorous mathematical proof.
Keywords
Cite
@article{arxiv.1907.02214,
title = {A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method},
author = {Ahmed Al-Taweel and Xiaoshen Wang},
journal= {arXiv preprint arXiv:1907.02214},
year = {2019}
}
Comments
10 pages and 3 figures