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arXiv · 1907.02214

A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method

Ahmed Al-Taweel·Xiaoshen Wang
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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.

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Ahmed Al-Taweel, Xiaoshen Wang. 2019-07-04. A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method. https://arxiv.org/abs/1907.02214

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