KMS Of Academy of mathematics and systems sciences, CAS
| Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient | |
| Shi, Y. H.1; Zhao, Y. M.1; Wang, F. L.1; Tang, Y. F.2,3 | |
| 2019-07-13 | |
| Source Publication | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| ISSN | 0020-7160 |
| Pages | 15 |
| Abstract | The goal of this paper is to discuss high accuracy analysis of a fully-discrete scheme for 2D multi-term time fractional wave equations with variable coefficient on anisotropic meshes by approximating in space by linear triangular finite element method and in time by Crank-Nicolson scheme. The stability is firstly proved unconditionally. In the analysis of superclose properties, how to deal with the item for variable coefficient is the main difficulty. In order to do this, a new projection operator is defined and the relationship between the proposed projection operator and interpolation operator about linear triangular finite element is deduced. Consequently, the global superconvergence result is obtained by use of interpolation postprocessing technique. The numerical examples show that the proposed numerical method is highly accurate and computationally efficient. |
| Keyword | Multi-term time fractional diffusion-wave equations linear triangular finite element Crank-Nicolson approximation stability superclose and superconvergence |
| DOI | 10.1080/00207160.2019.1639676 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11471296] ; Key Scientific Research Projects in Universities of Henan Province[17A110011] ; Key Scientific Research Projects in Universities of Henan Province[19B110013] ; Program for Scientific and Technological Innovation Talents in Universities of Henan Province[19HASTIT025] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000476107000001 |
| Publisher | TAYLOR & FRANCIS LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35313 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhao, Y. M. |
| Affiliation | 1.Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| Recommended Citation GB/T 7714 | Shi, Y. H.,Zhao, Y. M.,Wang, F. L.,et al. Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2019:15. |
| APA | Shi, Y. H.,Zhao, Y. M.,Wang, F. L.,&Tang, Y. F..(2019).Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,15. |
| MLA | Shi, Y. H.,et al."Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2019):15. |
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