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http://hdl.handle.net/10397/82287
| Title: | A quadratic C-0 interior penalty method for the quad-curl problem | Authors: | Sun, ZJ Gao, FZ Wang, C Zhang, Y |
Issue Date: | 2020 | Source: | Mathematical modelling and analysis, 2020, v. 25, no. 2, p. 208-225 | Abstract: | In this paper we study the C-0 interior penalty method for a quad-curl problem arising from magnetohydrodynamics model on bounded polygons or polyhedrons. We prove the well-posedness of the numerical scheme and then derive the optimal error estimates in a discrete energy norm. A post-processing procedure that can produce C-1 approximations is also presented. The performance of the method is illustrated by numerical experiments. | Keywords: | C-0 interior penalty method MHD Quad-curl problem Error analysis |
Publisher: | Vilniaus Gedimino technikos universitetas. ; Matematikos ir informatikos institutas (Lithuania) | Journal: | Mathematical modelling and analysis | ISSN: | 1392-6292 | EISSN: | 1648-3510 | DOI: | 10.3846/mma.2020.9796 | Rights: | Copyright (c) 2020 The Author(s). Published by VGTU Press. This work is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/). The following publication Sun, Z., Gao, F., Wang, C., & Zhang, Y. (2020). A quadratic C0 interior penalty method for the quad-curl problem. Mathematical Modelling and Analysis, 25(2), 208-225 is available at https://dx.doi.org/10.3846/mma.2020.9796 |
| Appears in Collections: | Journal/Magazine Article |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Sun_Quadratic_C-0_Penalty.pdf | 2.29 MB | Adobe PDF | View/Open |
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