Matrix-Free Monolithic Multigrid Methods for Stokes and Generalized Stokes Problems
- authored by
- Daniel Jodlbauer, Ulrich Langer, Thomas Wick, Walter Zulehner
- Abstract
We consider the widely used continuous \scrQk-\scrQk-1 quadrilateral or hexahedral Taylor-Hood elements for the finite element discretization of the Stokes and generalized Stokes systems in two and three spatial dimensions. For the fast solution of the corresponding symmetric, but indefinite system of finite element equations, we propose and analyze matrix-free monolithic geometric multigrid solvers that are based on appropriately scaled Chebyshev-Jacobi smoothers. The analysis is based on results by Schöberl and Zulehner (2003). We present and discuss several numerical results for typical benchmark problems.
- Organisation(s)
-
Institute of Applied Mathematics
PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines
- External Organisation(s)
-
Austrian Academy of Sciences
Johannes Kepler University of Linz (JKU)
- Type
- Article
- Journal
- SIAM Journal on Scientific Computing
- Volume
- 46
- Pages
- A1599-A1627
- ISSN
- 1064-8275
- Publication date
- 2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Computational Mathematics, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.2205.15770 (Access:
Open)
https://doi.org/10.1137/22M1504184 (Access: Closed)
