The key ideas
While we initially strive to stay away from complex notation a few fundamentals are needed. We consider problems posed on the physical domain Ω with boundary ∂Ω and assume that this domain is well approximated by the computational domain Ω h . This is a space filling triangulation composed of a collection of K geometry-conforming nonoverlapping elements, D k . The shape of these elements can be arbitrary although we will mostly consider cases where they are d-dimensional simplexes.
KeywordsDiscontinuous Galerkin Method Riemann Solver Scalar Wave Equation Discontinuous Galerkin Scheme Internal Choice
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