A scalable preconditioner for a DPG method

  title={A scalable preconditioner for a DPG method},
  author={Andrew T. Barker and Veselin A. Dobrev and Jay Gopalakrishnan and Tzanio V. Kolev},
  journal={arXiv: Numerical Analysis},
We show how a scalable preconditioner for the primal discontinuous Petrov-Galerkin (DPG) method can be developed using existing algebraic multigrid (AMG) preconditioning techniques. The stability of the DPG method gives a norm equivalence which allows us to exploit existing AMG algorithms and software. We show how these algebraic preconditioners can be applied directly to a Schur complement system of interface unknowns arising from the DPG method. To the best of our knowledge, this is the first… 

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