Krylov improvements of the Uzawa method for Stokes type operator matrices

0549525 - ÚGN 2022 RIV DE eng J - Journal Article
Axelsson, Owe - Karátson, J.
Krylov improvements of the Uzawa method for Stokes type operator matrices.
Numerische Mathematik. Roč. 148, č. 3 (2021), s. 611-631. ISSN 0029-599X. E-ISSN 0945-3245
EU Projects: European Commission(XE) 847593 - EURAD
Institutional support: RVO:68145535
Keywords : Krylov type modifications * superlinear convergence * preconditioners * Uzawa method
OECD category: Applied mathematics
Impact factor: 2.500, year: 2021
Method of publishing: Open access
https://link.springer.com/article/10.1007%2Fs00211-021-01208-5

The paper is devoted to Krylov type modifications of the Uzawa method on the operator level for the Stokes problem in order to accelerate convergence. First block preconditioners and their effect on convergence are studied. Then it is shown that a Krylov–Uzawa iteration produces superlinear convergence on smooth domains, and estimation is given on its speed.
Permanent Link: http://hdl.handle.net/11104/0325522