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

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  • We perform a 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 a more accurate numerical solution than that proposed in [13].
    Mathematics Subject Classification: 35B25, 65M60, 76R50, 82C70.


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