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Two-grid stabilized finite element methods with backtracking for the stationary Navier-Stokes equations.
- Source :
-
Advances in Computational Mathematics . Aug2024, Vol. 50 Issue 4, p1-24. 24p. - Publication Year :
- 2024
-
Abstract
- Based on local Gauss integral technique and backtracking technique, this paper presents and studies three kinds of two-grid stabilized finite element algorithms for the stationary Navier-Stokes equations. The proposed methods consist of deducing a coarse solution on the nonlinear system, updating the solution on a fine mesh via three different methods, and solving a linear correction problem on the coarse mesh to obtain the final solution. The error estimates are derived for the solution approximated by the proposed algorithms. A series of numerical experiments are illustrated to test the applicability and efficiency of our proposed methods, and support the theoretical analysis results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10197168
- Volume :
- 50
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Advances in Computational Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 178744915
- Full Text :
- https://doi.org/10.1007/s10444-024-10180-1