Robust Convergence of Multilevel Algorithms for Convection-Diffusion Equations

@article{Pflaum1999RobustCO,
  title={Robust Convergence of Multilevel Algorithms for Convection-Diffusion Equations},
  author={Christoph Pflaum},
  journal={SIAM J. Numerical Analysis},
  year={1999},
  volume={37},
  pages={443-469}
}
A new approach is developed to analyze convergence of multilevel algorithms for convection-diffusion equations. This approach uses a multilevel recursion formula, which can be applied to a variety of nonsymmetric problems. Here, the recursion formula is applied to a robust multilevel algorithm for convection-diffusion equations with convection in the xor y-direction. The multilevel algorithm uses semicoarsening, line relaxation, and prewavelets. The convergence rate is proved to be less than 0… CONTINUE READING

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