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Random walk on spheres method for solving anisotropic drift-diffusion problems

Author

Listed:
  • Shalimova Irina

    (Russian Academy of Sciences, Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia)

  • Sabelfeld Karl K.

    (Russian Academy of Sciences, Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia)

Abstract

We suggest a random walk on spheres based stochastic simulation algorithm for solving drift-diffusion-reaction problems with anisotropic diffusion. The diffusion coefficients and the velocity vector vary in space, and the size of the walking spheres is adapted to the local variation of these functions. The method is mesh free and extremely efficient for calculation of fluxes to boundaries and the concentration of the absorbed particles inside the domain. Applications to cathodoluminescence (CL) and electron beam induced current (EBIC) methods for the analysis of dislocations and other defects in semiconductors are discussed.

Suggested Citation

  • Shalimova Irina & Sabelfeld Karl K., 2018. "Random walk on spheres method for solving anisotropic drift-diffusion problems," Monte Carlo Methods and Applications, De Gruyter, vol. 24(1), pages 43-54, March.
    • Handle: RePEc:bpj:mcmeap:v:24:y:2018:i:1:p:43-54:n:6
    DOI: 10.1515/mcma-2018-0006
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