KMS Of Academy of mathematics and systems sciences, CAS
| Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes | |
Shi, Z. G.1,2; Zhao, Y. M.1; Liu, F.3; Wang, F. L.1; Tang, Y. F.4,5
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| 2018-12-01 | |
| Source Publication | APPLIED MATHEMATICS AND COMPUTATION
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| ISSN | 0096-3003 |
| Volume | 338Pages:290-304 |
| Abstract | 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. |
| Keyword | Multi-term time fractional diffusion-wave equation Nonconforming quasi-Wilson finite element Crank-Nicolson scheme Superclose and superconvergence Anisotropic meshes |
| DOI | 10.1016/j.amc.2018.06.026 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000441871500023 |
| Publisher | ELSEVIER SCIENCE INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31075 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Zhao, Y. M.; Liu, F. |
| Affiliation | 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 |
| Recommended Citation 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. |
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