Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation
文献类型：期刊论文
| 作者 | Ren, Jincheng1; Long, Xiaonian2,3,4; Mao, Shipeng2,3,4 ; Zhang, Jiwei5
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| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
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| 出版日期 | 2017-09-01 |
| 卷号 | 72期号:3页码:917-935 |
| 关键词 | Fractional diffusion-wave equation Finite element method Fully discrete scheme Error estimate |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-017-0385-z |
| 英文摘要 | In this paper, the error estimates of fully discrete finite element approximation for the time fractional diffusion-wave equation are discussed. Based on the standard Galerkin finite element method approach for the spatial discretization and the L1 formula for the approximation of the time fractional derivative, the fully discrete scheme for solving the constant coefficient fractional diffusion-wave equation is obtained and the superconvergence estimate is proposed and analyzed. Further, a fully discrete finite element scheme is presented for solving the variable coefficient fractional diffusion-wave equation and the corresponding error estimates are also established. Finally, numerical experiments are included to support the theoretical results. |
| 资助项目 | Major State Research Development Program of China[2016YFB0201304] ; National Magnetic Confinement Fusion Science Program of China[2015GB110003] ; National Natural Science Foundation of China[11601119] ; National Natural Science Foundation of China[11471329] ; National Natural Science Foundation of China[11526074] ; National Natural Science Foundation of China[91430216] ; National Natural Science Foundation of China[U1530401] ; Youth Innovation Promotion Association of CAS ; Science and Technology Program of Henan[162102410003] ; Foundation of Henan Educational Committee[17A110002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000408109600001 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26508]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Mao, Shipeng |
| 作者单位 | 1.Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450045, Henan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 5.Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ren, Jincheng,Long, Xiaonian,Mao, Shipeng,et al. Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation[J]. JOURNAL OF SCIENTIFIC COMPUTING,2017,72(3):917-935. |
| APA | Ren, Jincheng,Long, Xiaonian,Mao, Shipeng,&Zhang, Jiwei.(2017).Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation.JOURNAL OF SCIENTIFIC COMPUTING,72(3),917-935. |
| MLA | Ren, Jincheng,et al."Superconvergence of Finite Element Approximations for the Fractional Diffusion-Wave Equation".JOURNAL OF SCIENTIFIC COMPUTING 72.3(2017):917-935. |
入库方式： OAI收割
来源：数学与系统科学研究院
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