Explicit Finite Element Methods for Linear Hyperbolic Systems

  • Richard S. Falk
  • Gerard R. Richter
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 11)


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.


Discontinuous Galerkin Method Explicit Finite Element Tensor Product Space Advance Node Explicit Finite Element Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Richard S. Falk
    • 1
  • Gerard R. Richter
    • 2
  1. 1.Department of MathematicsRutgers UniversityPiscatawayUSA
  2. 2.Department of Computer ScienceRutgers UniversityPiscatawayUSA

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