Subgrid finite volume preconditioner for Discontinuous Galerkin implemented in the DUNE framework
Sammanfattning: A Jacobian free multigrid preconditioner for linear problems arising from Implicit Discontinuous Galerkin (DG) discretizations is implemented. The preconditioner is based on a multigrid method for a low order Finite volume (FV) discretization on a subcellgrid. L2-projections are introduced as a strategy to translate between the discretizations. Numerical tests on advection dominated linear advection diffusion in two dimensions, performed using the DUNE framework, shows there is potential in this approach when the FV problem can be solved efficiently to low error
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