A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term
文献类型：期刊论文
| 作者 | Shi, Dongyang1; Tang, Qili2; Gong, Wei3
|
| 刊名 | MATHEMATICS AND COMPUTERS IN SIMULATION
 |
| 出版日期 | 2015-08-01 |
| 卷号 | 114页码:25-36 |
| 关键词 | Characteristics Sobolev equation Nonconforming finite element The optimal order error estimates Global superconvergence |
| ISSN号 | 0378-4754 |
| DOI | 10.1016/j.matcom.2014.03.008 |
| 英文摘要 | A low order nonconforming finite element method is combined with the method of characteristics to treat the nonlinear Sobolev equation with convection-dominated term. The optimal order error estimates in a broken H-1-norm and L-2-norm are obtained by some special properties of the interpolation operator and the mean value trick, instead of the so-called elliptic projection which is an indispensable tool in the convergence analysis of the previous literature. In addition, the global superconvergence is derived based on the interpolated postprocessing technique. The theoretical results are confirmed by some numerical experiments. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[10971203] ; National Natural Science Foundation of China[11101384] ; National Natural Science Foundation of China[11271340] ; Specialized Research Fund for the Doctoral Program of Higher Education[20094101110006] |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000357222200004 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20208]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Tang, Qili |
| 作者单位 | 1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 2.Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shi, Dongyang,Tang, Qili,Gong, Wei. A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2015,114:25-36. |
| APA | Shi, Dongyang,Tang, Qili,&Gong, Wei.(2015).A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term.MATHEMATICS AND COMPUTERS IN SIMULATION,114,25-36. |
| MLA | Shi, Dongyang,et al."A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term".MATHEMATICS AND COMPUTERS IN SIMULATION 114(2015):25-36. |
入库方式： OAI收割
来源：数学与系统科学研究院
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