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| Post-processing technique of two-grid algorithm for wave propagation with Debye polarization in nonlinear dielectric materials | |
| Alternative Title | WOS:000564648400023;20202808923461 |
| Yao, Changhui1; Wei, Yifan1; Huang, Qiumei2 | |
| Source Publication | APPLIED NUMERICAL MATHEMATICS
 |
| 2020 | |
| Volume | 157Pages:405-418 |
| DOI | 10.1016/j.apnum.2020.06.017 |
| ISSN | 0168-9274 |
| Language | 英语 |
| Keyword | Wave propagation Nonlinear Nedelec element Two-grid algorithm Post-processing FINITE-ELEMENT METHODS SUPERCONVERGENCE ANALYSIS MAXWELLS EQUATIONS APPROXIMATION RECOVERY |
| Abstract | In 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 By | SCI ; EI |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.nssc.ac.cn/handle/122/7701 |
| Collection | 中国科学院国家空间科学中心 |
| Affiliation | 1.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 GB/T 7714 | 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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