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Laplacian transfer across a rough interface: numerical resolution in the conformal plane

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  • Vandembroucq, Damien
  • Roux, Stéphane

Abstract

We use a conformal mapping technique to study the Laplacian transfer across a rough interface. Natural Dirichlet or Von Neumann boundary condition are simply read by the conformal map. Mixed boundary condition, albeit being more complex can be efficiently treated in the conformal plane. We show in particular that an expansion of the potential on a basis of evanescent waves in the conformal plane allows to write a well-conditioned 1D linear system. These general principle are illustrated by numerical results on rough interfaces.

Suggested Citation

  • Vandembroucq, Damien & Roux, Stéphane, 2005. "Laplacian transfer across a rough interface: numerical resolution in the conformal plane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(1), pages 97-102.
    • Handle: RePEc:eee:phsmap:v:357:y:2005:i:1:p:97-102
    DOI: 10.1016/j.physa.2005.05.068
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    Cited by:

    1. Ma, Tinghuai & Li, Lu & Ji, Sai & Wang, Xin & Tian, Yuan & Al-Dhelaan, Abdullah & Al-Rodhaan, Mznah, 2014. "Optimized Laplacian image sharpening algorithm based on graphic processing unit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 400-410.

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