Garg, Deepika;
Ganesan, Sashikumaar;
(2023)
Local projection stabilized finite element methods for advection–reaction problems.
Calcolo
, 60
, Article 45. 10.1007/s10092-023-00540-6.
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Abstract
An a priori analysis for generalized local projection stabilized finite element approximations for the solution of an advection–reaction equation is presented in this article. The stability and a priori error estimates are derived for the conforming, and nonconforming (Crouzeix–Raviart) approximations in the local projection streamline derivative norm. Finally, the validation of the proposed stabilization scheme and verification of the derived estimates are presented with appropriate numerical experiments.
| Type: | Article |
|---|---|
| Title: | Local projection stabilized finite element methods for advection–reaction problems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s10092-023-00540-6 |
| Publisher version: | https://doi.org/10.1007/s10092-023-00540-6 |
| Language: | English |
| Additional information: | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Keywords: | Advection–reaction equation, Finite element method, Generalized local projection stabilization, Stability and error estimates |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10175951 |
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