The Scott-Vogelius finite elements revisited
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- by Johnny Guzmán and L. Ridgway Scott;
- Math. Comp. 88 (2019), 515-529
- DOI: https://doi.org/10.1090/mcom/3346
- Published electronically: April 16, 2018
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Abstract:
We prove that the Scott-Vogelius finite elements are inf-sup stable on shape-regular meshes for piecewise quartic velocity fields and higher ($k \ge 4$).References
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Bibliographic Information
- Johnny Guzmán
- Affiliation: Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912
- MR Author ID: 775211
- Email: johnny_guzman@brown.edu
- L. Ridgway Scott
- Affiliation: Departments of Computer Science and Mathematics, Committee on Computational and Applied Mathematics, University of Chicago, Chicago, Illinois 60637
- MR Author ID: 157720
- Email: ridg@uchicago.edu
- Received by editor(s): April 28, 2017
- Received by editor(s) in revised form: November 20, 2017
- Published electronically: April 16, 2018
- © Copyright 2018 American Mathematical Society
- Journal: Math. Comp. 88 (2019), 515-529
- MSC (2010): Primary 65N30, 65N12, 76D07, 65N85
- DOI: https://doi.org/10.1090/mcom/3346
- MathSciNet review: 3882274