In the present paper we give a convergence theory for multi-grid methods with transforming smoothers as introduced in  applied to a general system of partial differential equations. The theory follows Hackbusch's approach for scalar pde and allows a convergence proof for some well-known multi-grid methods for Stokes- and Navier-Stokes equations as DGS by Brandt-Dinar, , TILU from  and the SIMPLE-methods by Patankar-Spalding, .
- Subject Classifications: AMS(MOS): 65N20, CR: G1.8
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics