THE COMBINATION TECHNIQUE FOR A TWO-DIMENSIONAL CONVECTION-DIFFUSION PROBLEM WITH EXPONENTIAL LAYERS
文献类型：期刊论文
| 作者 | Franz, Sebastian1; Liu, Fang2; Roos, Hans-Goerg1; Stynes, Martin3; Zhou, Aihui4
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| 刊名 | APPLICATIONS OF MATHEMATICS
 |
| 出版日期 | 2009-06-01 |
| 卷号 | 54期号:3页码:203-223 |
| 关键词 | convection-diffusion finite element Shishkin mesh two-scale discretization |
| ISSN号 | 0862-7940 |
| 英文摘要 | Convection-diffusion problems posed on the unit square and with solutions displaying exponential layers are solved using a sparse grid Galerkin finite element method with Shishkin meshes. Writing N for the maximum number of mesh intervals in each coordinate direction, our "combination" method simply adds or subtracts solutions that have been computed by the Galerkin FEM on N x root N, root N x N and root N x root N meshes. It is shown that the combination FEM yields (up to a factor lnN) the same order of accuracy in the associated energy norm as the Galerkin FEM on an N x N mesh, but it requires only O(N(3/2)) degrees of freedom compared with the O(N(2)) used by the Galerkin FEM. An analogous result is also proved for the streamline diffusion finite element method. |
| 资助项目 | National Natural Science Foundation of China[10701083] ; National Natural Science Foundation of China[10425105] ; Chinese National Basic Research Program[2005CB321704] ; National University of Ireland Cork |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000266945200003 |
| 出版者 | ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8253]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Franz, Sebastian |
| 作者单位 | 1.Tech Univ Dresden, Inst Numer Math, Dresden, Germany 2.Cent Univ Finance & Econ, Beijing, Peoples R China 3.Natl Univ Ireland, Cork, Ireland 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Franz, Sebastian,Liu, Fang,Roos, Hans-Goerg,et al. THE COMBINATION TECHNIQUE FOR A TWO-DIMENSIONAL CONVECTION-DIFFUSION PROBLEM WITH EXPONENTIAL LAYERS[J]. APPLICATIONS OF MATHEMATICS,2009,54(3):203-223. |
| APA | Franz, Sebastian,Liu, Fang,Roos, Hans-Goerg,Stynes, Martin,&Zhou, Aihui.(2009).THE COMBINATION TECHNIQUE FOR A TWO-DIMENSIONAL CONVECTION-DIFFUSION PROBLEM WITH EXPONENTIAL LAYERS.APPLICATIONS OF MATHEMATICS,54(3),203-223. |
| MLA | Franz, Sebastian,et al."THE COMBINATION TECHNIQUE FOR A TWO-DIMENSIONAL CONVECTION-DIFFUSION PROBLEM WITH EXPONENTIAL LAYERS".APPLICATIONS OF MATHEMATICS 54.3(2009):203-223. |
入库方式： OAI收割
来源：数学与系统科学研究院
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