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Post-processing technique of two-grid algorithm for wave propagation with Debye polarization in nonlinear dielectric materials
Alternative TitleWOS:000564648400023;20202808923461
Yao, Changhui1; Wei, Yifan1; Huang, Qiumei2
Source PublicationAPPLIED NUMERICAL MATHEMATICS
2020
Volume157Pages:405-418
DOI10.1016/j.apnum.2020.06.017
ISSN0168-9274
Language英语
KeywordWave propagation Nonlinear Nedelec element Two-grid algorithm Post-processing FINITE-ELEMENT METHODS SUPERCONVERGENCE ANALYSIS MAXWELLS EQUATIONS APPROXIMATION RECOVERY
AbstractIn this paper, we develop the superconvergence analysis of the implicit second-order two-grid discrete scheme with the lowest Nedelec element for wave propagation with Debye Polarization in nonlinear Dielectric materials. Our main contribution will have two parts. On one hand, in order to overcome the difficulty of misconvergence of classical two-grid algorithm by the lowest Nedelec elements, we employ the Newton-type Taylor expansion at the superconvergent solutions for the nonlinear terms on coarse mesh, which is different from the classical numerical solution on the coarse mesh. On the other hand, we push the two-grid solution to high accuracy by the interpolation post-processing technique. Such a design can both improve the computational accuracy in spatial and decrease time consumption simultaneously. Based on this design, we can obtain the convergent rate O (tau(2) + h(2) + H-3), and the spatial convergence can be obtained by choosing the mesh size h = O (H-3/2). At last, one numerical experiment is illustrated to verify our theoretical results. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
Indexed BySCI ; EI
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Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/7701
Collection中国科学院国家空间科学中心
Affiliation1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
2.Chinese Acad Sci, State Key Lab Space Weather, Beijing 100190, Peoples R China
3.Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
Recommended Citation
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Yao, Changhui,Wei, Yifan,Huang, Qiumei. Post-processing technique of two-grid algorithm for wave propagation with Debye polarization in nonlinear dielectric materials[J]. APPLIED NUMERICAL MATHEMATICS,2020,157:405-418.
APA Yao, Changhui,Wei, Yifan,&Huang, Qiumei.(2020).Post-processing technique of two-grid algorithm for wave propagation with Debye polarization in nonlinear dielectric materials.APPLIED NUMERICAL MATHEMATICS,157,405-418.
MLA Yao, Changhui,et al."Post-processing technique of two-grid algorithm for wave propagation with Debye polarization in nonlinear dielectric materials".APPLIED NUMERICAL MATHEMATICS 157(2020):405-418.
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