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A domain decomposition method for a twoscale transport equation with energy flux conserved at the interface
1.  Department of Mathematics, University of Wisconsin, Madison, WI 53706 
2.  Institute of Applied Physics and Computational Mathematics, Beijing 100088, China 
In this paper, we extend this domain decomposition method to diffusive interfaces where the energy flux is conserved. Such problems arise in high frequency waves in random media. New operators corresponding to transmission and reflections at the interfaces are derived and then used in the interface conditions. With these new operators we are able to construct both first and second order (in terms of the mean free path) noniterative domain decomposition methods of the type by GolseJinLevermore, which will be proved having the desired accuracy and tested numerically.
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