Monotone Multigrid Methods for Elliptic Variational Inequalities I

@inproceedings{Kornhuber1994MonotoneMM,
  title={Monotone Multigrid Methods for Elliptic Variational Inequalities I},
  author={Ralf Kornhuber},
  year={1994}
}
We derive fast solvers for discrete elliptic variational inequalities of the rst kind (obstacle problems) as resulting from the approximation of related continuous problems by piecewise linear nite elements. Using basic ideas of successive subspace correction, we modify well-known relaxation methods by extending the set of search directions. Extended underrelaxations are called monotone multigrid methods, if they are quasioptimal in a certain sense. By construction, all monotone multigrid… CONTINUE READING
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