Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes
文献类型：期刊论文
| 作者 | Shi, Z. G.1,2; Zhao, Y. M.1; Liu, F.3; Wang, F. L.1; Tang, Y. F.4,5
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2018-12-01 |
| 卷号 | 338页码:290-304 |
| 关键词 | Multi-term time fractional diffusion-wave equation Nonconforming quasi-Wilson finite element Crank-Nicolson scheme Superclose and superconvergence Anisotropic meshes |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2018.06.026 |
| 英文摘要 | The paper mainly focuses on studying nonconforming quasi-Wilson finite element fully-discrete approximation for two dimensional (2D) multi-term time fractional diffusion-wave equation (TFDWE) on regular and anisotropic meshes. Firstly, based on the Crank-Nicolson scheme in conjunction with L1-approximation of the time Caputo derivative of order alpha is an element of (1, 2), a fully-discrete scheme for 2D multi-term TFDWE is established. And then, the approximation scheme is rigorously proved to be unconditionally stable via processing fractional derivative skillfully. Moreover, the superclose result in broken H-1-norm is deduced by utilizing special properties of quasi-Wilson element. In the meantime, the global superconvergence in broken H-1-norm is derived by means of interpolation postprocessing technique. Finally, some numerical results illustrate the correctness of theoretical analysis on both regular and anisotropic meshes. (C) 2018 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11101381] ; National Natural Science Foundation of China[11471296] ; support program for scientific and technological innovation talents of universities in Henan province[2019] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000441871500023 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31074]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhao, Y. M.; Liu, F. |
| 作者单位 | 1.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 2.Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Sichuan, Peoples R China 3.Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia 4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shi, Z. G.,Zhao, Y. M.,Liu, F.,et al. Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes[J]. APPLIED MATHEMATICS AND COMPUTATION,2018,338:290-304. |
| APA | Shi, Z. G.,Zhao, Y. M.,Liu, F.,Wang, F. L.,&Tang, Y. F..(2018).Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes.APPLIED MATHEMATICS AND COMPUTATION,338,290-304. |
| MLA | Shi, Z. G.,et al."Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes".APPLIED MATHEMATICS AND COMPUTATION 338(2018):290-304. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。