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A Discontinuous Projection Algorithm for Hamilton Jacobi Equations

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Discontinuous Galerkin Methods

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 11))

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Abstract

We present a class of numerical schemes for the numerical integration of first order Hamilton Jacobi equations. The method can be considered as Discontinuous Galerkin scheme, the viscosity solution is directly adapted into the numerical scheme, contrary to other authors.

Research was supported in part by SNPE and CNES

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References

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Author information

Authors and Affiliations

  1. Mathématiques Appliquées de Bordeaux, Université de Bordeaux I, 351 Cours de la Libération, 33 405, Talence Cedex, France

    Steeve Augoula & Rémi Abgrall

Authors
  1. Steeve Augoula
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  2. Rémi Abgrall
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN, 55455, USA

    Bernardo Cockburn

  2. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    George E. Karniadakis  & Chi-Wang Shu  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Augoula, S., Abgrall, R. (2000). A Discontinuous Projection Algorithm for Hamilton Jacobi Equations. 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_19

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  • DOI: https://doi.org/10.1007/978-3-642-59721-3_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64098-8

  • Online ISBN: 978-3-642-59721-3

  • eBook Packages: Springer Book Archive

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