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The numerical scheme is based on the discontinuous Galerkin method.
The approximation with these multiscale spaces is based on the discontinuous Galerkin finite element method framework.
Finite element formulations based on the discontinuous weighting functions including the streamline upwind Petrov Galerkin (SUPG) method are also evaluated.
An extension of the Material Point Method [1] based on the Discontinuous Galerkin approximation (DG) [2] is presented here.
We present a cross-platform scaling investigation for an OpenMP parallelization of UTBEST3D – a coastal and regional ocean code based on the discontinuous Galerkin finite element method.
Our approach is based on the discontinuous Galerkin space time method, by which the finite element discretization is applied not only in space but also in time.
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A robust multilevel preconditioner based on the hybridizable discontinuous Galerkin method for the Helmholtz equation with high wave number is presented in this paper.
A second-order diffusion scheme based on the local discontinuous Galerkin (LDG) method is added to the viscous version of the SW model and tested for conservation behaviors.
In contrast to recently suggested explicit high-order accurate methods based on the time-discontinuous Galerkin method, the new method is more accurate (has a higher order of accuracy) and has better algorithmic properties (e.g., a higher-stability limit) at the same computational efforts.
The methods are based on the original central discontinuous Galerkin methods designed for hyperbolic conservation laws on overlapping meshes, and use different discretization for magnetic induction equations.
A uniformly second order method with a local solver based on the piecewise linear discontinuous Galerkin formulation is introduced to solve the eikonal equation with Dirichlet boundary conditions.
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