Corpus ID: 209832414

Tuning Multigrid Methods with Robust Optimization

@article{Brown2020TuningMM,
  title={Tuning Multigrid Methods with Robust Optimization},
  author={J. Brown and Yunhui He and S. MacLachlan and M. Menickelly and Stefan M. Wild},
  journal={ArXiv},
  year={2020},
  volume={abs/2001.00887}
}
Local Fourier analysis is a useful tool for predicting and analyzing the performance of many efficient algorithms for the solution of discretized PDEs, such as multigrid and domain decomposition methods. The crucial aspect of local Fourier analysis is that it can be used to minimize an estimate of the spectral radius of a stationary iteration, or the condition number of a preconditioned system, in terms of a symbol representation of the algorithm. In practice, this is a "minimax" problem… Expand

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