A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

  • Authors:

  • Michael Dumbser;Dinshaw S. Balsara;Eleuterio F. Toro;Claus-Dieter Munz

  • Affiliations:

  • Laboratory of Applied Mathematics, University of Trento, Via Mesiano 77, I-38100 Trento, Italy and Institut für Aerodynamik und Gasdynamik, Pfaffenwaldring 21, D-70550 Stuttgart, Germany;Physics Department, University of Notre Dame du Lac, 225 Nieuwland Science Hall, Notre Dame, IN 46556, USA;Laboratory of Applied Mathematics, University of Trento, Via Mesiano 77, I-38100 Trento, Italy;Institut für Aerodynamik und Gasdynamik, Pfaffenwaldring 21, D-70550 Stuttgart, Germany

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2008

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Abstract

We compare several local absorbing boundary conditions for solving the Helmholtz equation, by a finite difference or finite element method, exterior to a general scatterer. These boundary conditions are imposed on an artificial elliptical or prolate ...