Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation By

@inproceedings{Axelsson2010PreconditioningAT,
  title={Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation By},
  author={Owe Axelsson and Ivar Gustafsson},
  year={2010}
}
Let A be a mesh parameter corresponding to a finite element mesh for an elliptic problem. We describe preconditioning methods for two-level meshes which, for most problems solved in practice, behave as methods of optimal order in both storage and computational complexity. Namely, per mesh point, these numbers are bounded above by relatively small constants for all h > h0, where h0 is small enough to cover all but excessively fine meshes. We note that, in practice, multigrid methods are actually… CONTINUE READING
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