An Improved Algebraic Multigrid Method for Solving Maxwell's Equations

@article{Bochev2003AnIA,
  title={An Improved Algebraic Multigrid Method for Solving Maxwell's Equations},
  author={Pavel B. Bochev and Christopher J. Garasi and Jonathan J. Hu and Allen C. Robinson and Ray S. Tuminaro},
  journal={SIAM J. Scientific Computing},
  year={2003},
  volume={25},
  pages={623-642}
}
We propose two improvements to the Reitzinger and Schöberl algebraic multigrid (AMG) method for solving the eddy current approximations to Maxwell’s equations. The main focus in the Reitzinger/Schöberl method is to maintain null space properties of the weak ∇×∇× operator on coarse grids. While these null space properties are critical, they are not enough to guarantee hindependent convergence of the overall multigrid method. We illustrate how the Reitzinger/Schöberl AMG method loses h… CONTINUE READING
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