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Superconvergence analysis of two-grid FEM for Maxwell's equations with a thermal effect
Alternative TitleWOS:000531076600009;20201008258637
Yao, C. H.; Li, F. R.; Zhao, Y. M.
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
2020
Volume79Issue:12Pages:3378-3393
DOI10.1016/j.camwa.2020.02.001
ISSN0898-1221
Language英语
KeywordMaxwell's equation Thermal effect Nedelec element Two-grid algorithm Superconvergence FINITE-ELEMENT-METHOD H-PSI FORMULATION WAVE-PROPAGATION HOMOGENIZATION MODEL
AbstractBased 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 BySCI ; EI
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Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/7722
Collection中国科学院国家空间科学中心
Affiliation1.[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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