KMS Of Academy of mathematics and systems sciences, CAS
High accuracy analysis of an H-1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations | |
Shi, Z. G.1,2; Zhao, Y. M.1; Liu, F.3; Tang, Y. F.4,5; Wang, F. L.1; Shi, Y. H.1 | |
2017-10-15 | |
Source Publication | COMPUTERS & MATHEMATICS WITH APPLICATIONS |
ISSN | 0898-1221 |
Volume | 74Issue:8Pages:1903-1914 |
Abstract | In this paper, an H-1-Galerkin mixed finite element approximate scheme is established for a class of two-dimensional time fractional diffusion equations by using the bilinear element, Raviart-Thomas element and L1 time stepping method, which is unconditionally stable and free of LBB condition. And then, without the classical Ritz projection, superclose results for the original variable u in H-1-norm and the flux (p) over right arrow= del u in H(div,Omega)-norm are derived by means of properties of the elements and 1,1 approximation. Furthermore, with the help of the interpolation postprocessing operator, the global superconvergence results for the original variable u in H-1-norm are obtained. Finally, numerical simulations verify that the theoretical results are true on both regular meshes and anisotropic meshes. (C) 2017 Published by Elsevier Ltd. |
Keyword | Time fractional diffusion equations H-1-Galerkin mixed finite element method Anisotropic mesh L1 approximation Superclose and superconvergence |
DOI | 10.1016/j.camwa.2017.06.057 |
Language | 英语 |
Funding Project | China Scholarship Council[201308410260] ; National Natural Science Foundation of China[11101381] ; Outstanding Young Talents Training Plan by Xuchang University[[2015]3] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000414889400012 |
Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26804 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zhao, Y. M.; Liu, F. |
Affiliation | 1.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 2.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, 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. High accuracy analysis of an H-1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2017,74(8):1903-1914. |
APA | Shi, Z. G.,Zhao, Y. M.,Liu, F.,Tang, Y. F.,Wang, F. L.,&Shi, Y. H..(2017).High accuracy analysis of an H-1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,74(8),1903-1914. |
MLA | Shi, Z. G.,et al."High accuracy analysis of an H-1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 74.8(2017):1903-1914. |
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