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Superconvergence analysis of two-grid FEM for Maxwell's equations with a thermal effect | |
Alternative Title | WOS:000531076600009;20201008258637 |
Yao, C. H.; Li, F. R.; Zhao, Y. M. | |
Source Publication | COMPUTERS & MATHEMATICS WITH APPLICATIONS |
2020 | |
Volume | 79Issue:12Pages:3378-3393 |
DOI | 10.1016/j.camwa.2020.02.001 |
ISSN | 0898-1221 |
Language | 英语 |
Keyword | Maxwell's equation Thermal effect Nedelec element Two-grid algorithm Superconvergence FINITE-ELEMENT-METHOD H-PSI FORMULATION WAVE-PROPAGATION HOMOGENIZATION MODEL |
Abstract | Based on two-grid algorithm, we develop the superconvergence analysis of fully-discrete scheme with the lowest-order Nedelec element and Crank-Nicolson scheme for the magneto-heat coupling model, which is also considered as Maxwell's equations with a thermal effect. Then, main process of numerical analysis has two parts: On one hand, we utilize Newton-type Taylor expansion on superconvergent solutions for those nonlinear terms on coarse mesh, differing from the numerical solution, which makes our given two-grid method successful. On the other hand, we prove the solutions on the fine mesh to be higher accuracy by the postprocessing interpolation technique. Such a design is conducive to improving the computational accuracy in space and decreasing time consumption simultaneously. By employing the skill, we can obtain the convergent rate of O(Delta t(2) + h(2 )+ H-3 ), which means that the space mesh size should satisfy h = O(H-3/2). Finally, the numerical example is presented to verify the theoretical results. (C) 2020 Elsevier Ltd. All rights reserved. |
Indexed By | SCI ; EI |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.nssc.ac.cn/handle/122/7722 |
Collection | 中国科学院国家空间科学中心 |
Affiliation | 1.[Yao, C. H. 2.Li, F. R.] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 3.[Yao, C. H.] Chinese Acad Sci, State Key Lab Space Weather, Beijing 100190, Peoples R China 4.[Zhao, Y. M.] Xuchang Univ, Sch Math & Stat, Xuchang 461000, Peoples R China |
Recommended Citation GB/T 7714 | Yao, C. H.,Li, F. R.,Zhao, Y. M.. Superconvergence analysis of two-grid FEM for Maxwell's equations with a thermal effect[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2020,79(12):3378-3393. |
APA | Yao, C. H.,Li, F. R.,&Zhao, Y. M..(2020).Superconvergence analysis of two-grid FEM for Maxwell's equations with a thermal effect.COMPUTERS & MATHEMATICS WITH APPLICATIONS,79(12),3378-3393. |
MLA | Yao, C. H.,et al."Superconvergence analysis of two-grid FEM for Maxwell's equations with a thermal effect".COMPUTERS & MATHEMATICS WITH APPLICATIONS 79.12(2020):3378-3393. |
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