Deflation-accelerated preconditioning of the Poisson-Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method

@article{Joshi2016DeflationacceleratedPO,
  title={Deflation-accelerated preconditioning of the Poisson-Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method},
  author={Sumedh M. Joshi and Greg N. Thomsen and Peter J. Diamessis},
  journal={J. Comput. Phys.},
  year={2016},
  volume={313},
  pages={209-232}
}
  • Sumedh M. Joshi, Greg N. Thomsen, Peter J. Diamessis
  • Published 2016
  • Mathematics, Physics, Computer Science
  • J. Comput. Phys.
  • A combination of block-Jacobi and deflation preconditioning is used to solve a high-order discontinuous element-based collocation discretization of the Schur complement of the Poisson-Neumann system as arises in the operator splitting of the incompressible Navier-Stokes equations. The preconditioners and deflation vectors are chosen to mitigate the effects of ill-conditioning due to highly-elongated domains typical of simulations of strongly non-hydrostatic environmental flows, and to achieve… CONTINUE READING

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