Abstract
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 [2] in large part, while using a different approach in the analysis.
Keywords
- Discontinuous Galerkin Method
- Explicit Finite Element
- Tensor Product Space
- Advance Node
- Explicit Finite Element Method
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
The authors were supported in part by NSF grant DMS-9704556 and DARPA grant 423685, respectively.
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© 2000 Springer-Verlag Berlin Heidelberg
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Falk, R.S., Richter, G.R. (2000). Explicit Finite Element Methods for Linear Hyperbolic Systems. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_15
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DOI: https://doi.org/10.1007/978-3-642-59721-3_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64098-8
Online ISBN: 978-3-642-59721-3
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