| Oseen方程的一种新的局部投影稳定化方法 |
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| 引用本文： | 白艳红,冯民富,王川龙. Oseen方程的一种新的局部投影稳定化方法[J]. 应用数学和力学, 2010, 31(11): 1360-1371. DOI: 10.3879/j.issn.1000-0887.2010.11.009 |
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| 作者姓名： | 白艳红 冯民富 王川龙 |
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| 作者单位： | 太原师范学院 数学系, 太原 030012; |
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| 基金项目： | 国家自然科学基金资助项目，四川省科技攻关课题资助项目 |
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| 摘 要： | 对Oseen方程提出一种新的局部投影稳定化有限元方法,并且速度和压力采用inf-sup稳定的非协调有限元空间逼近．局部投影稳定化项仅加在子网格上(H≥h);与RFB方法相比,该方法稳定性项简单,并且可以克服对流占优．最后,通过实验证明,数值结果和理论结果完全一致．
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| 关 键 词： | Oseen 方程 局部投影稳定化方法 Crouzeix-Raviart元 |
| 收稿时间： | 1900-01-01 |
A New Nonconforming Local Projection Stabilization for Generalized Oseen Equations |
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| BAI Yan-hong,FENG Min-fu,WANG Chuan-long. A New Nonconforming Local Projection Stabilization for Generalized Oseen Equations[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1360-1371. DOI: 10.3879/j.issn.1000-0887.2010.11.009 |
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| Authors: | BAI Yan-hong FENG Min-fu WANG Chuan-long |
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| Affiliation: | Department of Mathematics, Taiyuan Teachers College, Taiyuan 030012, P. R. China;Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China |
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| Abstract: | A new method of nonconforming local projection stabilization for the generalized Oseen equations was proposed by a nonconforming inf-sup stable element pair for approximating the velocity and pressure. The method has several attractive feature. It adds an local projection term only on the sub-scale (H ≥h). The stabilized term is simple compared with the residual-free bubble element method can handle the influence of strong convection. The numerical illustrations agree with the theoretical expectation very well. |
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