An Implementation of Hybrid Discontinuous Galerkin Methods in DUNE
نویسندگان
چکیده
We discuss the implementation of hybrid finite element methods in the Distributed and Unified Numerics Environment (DUNE). Such hybrid methods require the approximation of the solution in the interior of the elements, as well as an approximation of the traces of the solution on the element interfaces, i.e., the skeleton. For illustration, we consider a hybrid version of the interior penalty discontinuous Galerkin method for an elliptic model problem. In order to realize the implementation in the DUNE framework, we present a generic extension of the C++ template library DUNE-PDELAB [4] for problems with additional polynomial approximations of spaces defined on the skeleton.
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