Analysis of the Staggered DG Method for the Quasi-Newtonian Stokes flows
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Article number | 14 |
Journal / Publication | Journal of Scientific Computing |
Volume | 102 |
Issue number | 1 |
Online published | 20 Nov 2024 |
Publication status | Published - Jan 2025 |
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DOI | DOI |
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Attachment(s) | Documents
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Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85209712728&origin=recordpage |
Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(dd2e7326-4441-4848-acf9-d8f264a9a2c9).html |
Abstract
This paper introduces and analyzes a staggered discontinuous Galerkin (DG) method for quasi-Newtonian Stokes flow problems on polytopal meshes. The method introduces the flux and tensor gradient of the velocity as additional unknowns and eliminates the pressure variable via the incompressibility condition. Thanks to the subtle construction of the finite element spaces used in our staggered DG method, no additional numerical flux or stabilization terms are needed. Based on the abstract theory for the non-linear twofold saddle point problems, we prove the well-posedness of our scheme. A priori error analysis for all the involved unknowns is also provided. In addition, the proposed scheme can be hybridizable and the global problem only involves the trace variables, rendering the method computationally attractive. Finally, several numerical experiments are carried out to illustrate the performance of our scheme. © The Author(s) 2024.
Research Area(s)
- Discontinuous Galerkin methods, Hybridization, Polygonal mesh, Quasi-Newtonian Stokes flow
Citation Format(s)
Analysis of the Staggered DG Method for the Quasi-Newtonian Stokes flows. / Liu, Jingyu; Liu, Yang; Zhao, Lina.
In: Journal of Scientific Computing, Vol. 102, No. 1, 14, 01.2025.
In: Journal of Scientific Computing, Vol. 102, No. 1, 14, 01.2025.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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