Numerische Mathematik

, Volume 122, Issue 2, pp 227–278 | Cite as

Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes

  • Christophe BuetEmail author
  • Bruno Després
  • Emmanuel Franck


We propose an asymptotic preserving nodal discretization of the hyperbolic heat equation, also known as the P 1 equation, on unstructured meshes in 2-D. This method, in diffusive regime, overcomes the problem of the inconsistent limit with diffusion, of classical multidimensional extensions of 1-D asymptotic preserving schemes, based on edge formulation. We provide both theoretical and numerical results.

Mathematics Subject Classification (2010)

35L65 65M08 65M12 


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Christophe Buet
    • 1
    Email author
  • Bruno Després
    • 2
  • Emmanuel Franck
    • 1
    • 2
  1. 1.CEA, DAM, DIFArpajon CedexFrance
  2. 2.Laboratoire Jacques-Louis LionsUniversité Pierre et Marie CurieParis Cedex 05France

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