Numerical study of a domain decomposition method for a two-scale linear transport equation

نویسندگان

  • Xu Yang
  • François Golse
  • Zhongyi Huang
  • Shi Jin
چکیده

We perform numerical study on a domain decomposition method proposed in [13] for the linear transport equation between a diffusive and a non-diffusive region. This method avoids iterating the diffusion and transport solutions as in a typical domain decomposition method. Our numerical results, in both one and two space dimensions, confirm the theoretical analysis of [13]. We also provide an improved second order method that provides more accurate numerical solution than that proposed in [13].

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عنوان ژورنال:
  • NHM

دوره 1  شماره 

صفحات  -

تاریخ انتشار 2006