A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics

@article{Sondak2014ANC,
  title={A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics},
  author={David Sondak and John N. Shadid and Assad A. Oberai and Roger P. Pawlowski and Eric C. Cyr and T. M. Smith},
  journal={J. Comput. Phys.},
  year={2014},
  volume={295},
  pages={596-616}
}

On the performance of Krylov smoothing for fully coupled AMG preconditioners for VMS resistive MHD

The GMRES Krylov method employed as a smoother for an algebraic multigrid preconditioned Newton‐Krylov solution approach applied to a fully implicit variational multiscale finite element resistive magnetohydrodynamics formulation can reduce the solve time, and requires less memory, typically 35% less memory.

Krylov Smoothing for Fully-Coupled AMG Preconditioners for VMS Resistive MHD

The results demonstrate that the GMRES smoother can be faster due to a decrease in the preconditioner setup time and a reduction in outer GMRESR solver iterations, and requires less memory than the DD ILU smoother.

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