An asymptotic-preserving method for highly anisotropic elliptic equations based on a Micro-Macro decomposition

  • Authors:

  • Pierre Degond;Alexei Lozinski;Jacek Narski;Claudia Negulescu

  • Affiliations:

  • Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France and CNRS, Institut de Mathématiques de Toulouse, UMR 5219, F-31062 Toulo ...;Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France;Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France;Université de Toulouse, UPS, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2012

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Abstract

The concern of the present work is the introduction of a very efficient asymptotic preserving scheme for the resolution of highly anisotropic diffusion equations. The characteristic features of this scheme are the uniform convergence with respect to the anisotropy parameter 0