Geodesic
Comparison of two methods of paralleling computations in solving the integro-differential radiation transport equation
Matematičeskoe modelirovanie, Tome 33 (2021) no. 5, pp. 3-15

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The problem of paralleling computations in solving the integro-differential radiation transport equation in turbid media. The two-steps iterative algorithm of solving a grid equations system is under consideration. At the first step the simple iteration method is carried out. At the second step an accelerating correction is added to grid values obtained at the first step. Equations for an accelerating correction are solved by the Krylov subspace method. Two methods of paralleling two-steps iterative algorithm are being compared. In the first method calculations at a simple iteration are localized in each subregion (BJ - Block Jacobi method). At the second method through calculation over whole region is fulfiled (BS — Block Seidel method). Both the methods are included into the code RADUGA T developed for solving the transport equation on unstructured grids. Both methods effectiveness are studied and compared on the light-water reactor model.
Mots-clés : transport equation
Keywords: parallel computation, through calculation, unstructured grids. 
@article{MM_2021_33_5_a0,
     author = {O. V. Nikolaeva},
     title = {Comparison of two methods of paralleling computations in solving the integro-differential radiation transport equation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--15},
     publisher = {mathdoc},
     volume = {33},
     number = {5},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2021_33_5_a0/}
}
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O. V. Nikolaeva. Comparison of two methods of paralleling computations in solving the integro-differential radiation transport equation. Matematičeskoe modelirovanie, Tome 33 (2021) no. 5, pp. 3-15. http://geodesic.mathdoc.fr/item/MM_2021_33_5_a0/