Explicit Finite Element Methods for Linear Hyperbolic Systems
Our focus is on explicit finite element discretization of transient, linear hyperbolic systems in arbitrarily many space dimensions. We propose several ways of generating suitable “explicit” meshes, and sketch an O(h n+1/2) error estimate for a discontinuous Galerkin method. Continuous methods are also considered briefly. This paper parallels  in large part, while using a different approach in the analysis.
KeywordsDiscontinuous Galerkin Method Explicit Finite Element Tensor Product Space Advance Node Explicit Finite Element Method
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