On the convergence of multi-grid methods with transforming smoothers

@article{Wittum1990OnTC,
  title={On the convergence of multi-grid methods with transforming smoothers},
  author={Gabriel Wittum},
  journal={Numerische Mathematik},
  year={1990},
  volume={57},
  pages={15-38}
}
SummaryIn the present paper we give a convergence theory for multi-grid methods with transforming smoothers as introduced in [31] 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, [5], TILU from [31] and the SIMPLE-methods by Patankar-Spalding, [23]. 

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