A comparative study of efficient iterative solvers for generalized Stokes equations

@article{Larin2008ACS,
  title={A comparative study of efficient iterative solvers for generalized Stokes equations},
  author={Maxim Larin and Arnold Reusken},
  journal={Numerical Lin. Alg. with Applic.},
  year={2008},
  volume={15},
  pages={13-34}
}
We consider a generalized Stokes equation with problem parameters 0 (size of the reaction term) and >0 (size of the diffusion term). We apply a standard finite element method for discretization. The main topic of the paper is a study of efficient iterative solvers for the resulting discrete saddle point problem. We investigate a coupled multigrid method with Braess–Sarazin and Vanka-type smoothers, a preconditioned MINRES method and an inexact Uzawa method. We present a comparative study of… CONTINUE READING

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