Uniform convergence of the multigrid {V}-cycle for an anisotropic problem

@article{Bramble2001UniformCO,
  title={Uniform convergence of the multigrid \{V\}-cycle for an anisotropic problem},
  author={James H. Bramble and Xuejun Zhang},
  journal={Math. Comput.},
  year={2001},
  volume={70},
  pages={453-470}
}
In this paper, we consider the linear systems arising from the standard finite element discretizations of certain second order anisotropic problems with variable coefficients on a rectangle. We study the performance of a Vcycle multigrid method applied to the finite element equations. Since the usual “regularity and approximation” assumption does not hold for the anisotropic finite element problems, the standard multigrid convergence theory cannot be applied directly. In this paper, a… CONTINUE READING
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