A quadrature-free high-order DG scheme on polyhedral meshes using agglomerated continuous FE basis functions on tetrahedral subgrids, with ADER time integration and artificial viscosity limiting.
Ader schemes for scalar non-linear hyperbolic con- servation laws with source terms in three-space dimensions.Journal of Computational Physics, 202:196–215, 01 2005
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Continuous 3D Finite Element Subgrid Basis Functions for Discontinuous Galerkin Methods on Polyhedral Meshes
A quadrature-free high-order DG scheme on polyhedral meshes using agglomerated continuous FE basis functions on tetrahedral subgrids, with ADER time integration and artificial viscosity limiting.