A Geometric Multigrid Preconditioning Strategy for DPG System Matrices

نویسندگان

  • Nathan V. Roberts
  • Jesse Chan
چکیده

The discontinuous Petrov-Galerkin (DPG) methodology of Demkowicz and Gopalakrishnan [15, 17] guarantees the optimality of the solution in an energy norm, and provides several features facilitating adaptive schemes. A key question that has not yet been answered in general—though there are some results for Poisson, e.g.—is how best to precondition the DPG system matrix, so that iterative solvers may be used to allow solution of large-scale problems.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 74  شماره 

صفحات  -

تاریخ انتشار 2017