| Title | A discontinuous Galerkin method for Stokes equation by divergence-free patch reconstruction |
| Authors | Li, Ruo Sun, Zhiyuan Yang, Zhijian |
| Affiliation | Peking Univ, LMAM, CAPT, Beijing, Peoples R China Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China Wuhan Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China |
| Issue Date | Jul-2020 |
| Publisher | NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS |
| Abstract | A discontinuous Galerkin method by patch reconstruction is proposed for Stokes flows. A locally divergence-free reconstruction space is employed as the approximation space, and the interior penalty method is adopted which imposes the normal component penalty terms to cancel out the pressure term. Consequently, the Stokes equation can be solved as an elliptic system instead of a saddle-point problem due to such weak form. The number of degree of freedoms of our method is the same as the number of elements in the mesh for different order of accuracy. The error estimations of the proposed method are given in a classical style, which are then verified by some numerical examples. |
| URI | http://hdl.handle.net/20.500.11897/584826 |
| ISSN | 0749-159X |
| DOI | 10.1002/num.22449 |
| Indexed | SCI(E) Scopus EI |
| Appears in Collections: | 工学院 数学及其应用教育部重点实验室 数学科学学院 |
