English

A stabilizer free weak Galerkin element method with supercloseness of order two

Numerical Analysis 2020-04-24 v1 Numerical Analysis

Abstract

The weak Galerkin (WG) finite element method is an effective and flexible general numerical techniques for solving partial differential equations. A simple weak Galerkin finite element method is introduced for second order elliptic problems. First we have proved that stabilizers are no longer needed for this WG element. Then we have proved the supercloseness of order two for the WG finite element solution. The numerical results confirm the theory

Keywords

Cite

@article{arxiv.2004.11192,
  title  = {A stabilizer free weak Galerkin element method with supercloseness of order two},
  author = {Ahmed Al-Taweel and Xiaoshen Wang and Xiu Ye and Shangyou Zhang},
  journal= {arXiv preprint arXiv:2004.11192},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1304.6481