|
|||||
|
|
| Stokes问题的各向异性平行四边形有限元逼近 | |
| 引用本文： | 尹丽,孙会霞,陈绍春.Stokes问题的各向异性平行四边形有限元逼近[J].高等学校计算数学学报,2009,31(1). |
| 作者姓名： | 尹丽 孙会霞 陈绍春 |
| 作者单位： | 1. 郑州大学数学系,郑州,450052;郑州轻工业学院数学系,郑州,450003 2. 河南工业大学理学院,郑州,450052 3. 郑州大学数学系,郑州,450052 |
| 摘 要： | 1 引言 Stokes问题是标准的混合问题,速度与压力同时计算,关于该问题有限元求解的文章很多(见文献1-5])但大多都是基于对区域的正则剖分或拟一致剖分,即要求网格剖分满足hk/pK≤C,(A)K∈Jh,其中C>0为一常数,hk,pK分别为单元K的直径及内切园直径,在实际应用问题中,由于边界层或区域的拐角处需考虑物质的各向异性特征,此时对空间区域Q的剖分不再满足正则性或拟一致条件,而需要用各向异性网格剖分,才能更贴切地描述其真实情形. |
| 关 键 词： | Stokes问题 有限元逼近 平行四边形 各向异性 网格剖分 混合问题 直径 正则 |
CONVERGENCE ANALYSIS OF THE ROTATED Q_1 ELEMENT ON ANISOTROPIC PARALLELOGRAM MESHES FOR STOKES PROBLEM |
|
| Yin Li,Sun Huixia,Chen Shaochun.CONVERGENCE ANALYSIS OF THE ROTATED Q_1 ELEMENT ON ANISOTROPIC PARALLELOGRAM MESHES FOR STOKES PROBLEM[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(1). | |
| Authors: | Yin Li Sun Huixia Chen Shaochun |
| Affiliation: | Yin Li (Department of Mathematics,Zhengzhou University,Zhengzhou,450052/ (Department of Mathematics,Zhengzhou University of Light Industry,450003) Sun Huixia (College of Science,Henan University of Technology,450052) Chen Shaochun (Department of Mathematics,450052) |
| Abstract: | In this paper,we propose an anisotropic parallelogram nonconforming finite element method for Stokes problems.The anisotropic estimates of interpolation error,consistency error and LBB condition are obtained,which show that the convergence of the method is independent of the regular and quasi-uniform assumptions on the meshes. |
| Keywords: | Stokes problems mixed finite element anisotropic finite elements |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |