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math.NA2017★ 17 cited
FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation
Alexander Jaust, Balthasar Reuter, Vadym Aizinger +2
The third paper in our series on open source MATLAB / GNU Octave implementation of the discontinuous Galerkin (DG) method(s) focuses on a hybridized formulation. The main aim of th…
math.NA2017
Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations
Jochen Schütz, David C. Seal, Alexander Jaust
In this work, we construct novel discretizations for the unsteady convection-diffusion equation. Our discretization relies on multiderivative time integrators together with a novel…