Geodesic
On the Question of $3D$~Decomposition Efficiency for the Numerical Solution of Transport Equation with the Use of Multiprocessor Computer with Distributed Memory
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2008), pp. 39-46

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This paper is devoted to comparison of various ways of decomposition for the numerical solution of transport equation by finite volume method. The preliminary theoretical analysis of transfer costs of a data and numerical experiment with the use of multiprocessor computer TGU SKIF Cyberia were conducted. The investigation has shown that $3D$ decomposition does not give a gain in time in comparison with $2D$ decomposition, at least, for the quantity of processors which is not exceeding 250.
Keywords: geometric decomposition, mathematical modelling, parallel computations. 
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     title = {On the {Question} of $3D${~Decomposition} {Efficiency} for the {Numerical} {Solution} of {Transport} {Equation} with the {Use} of {Multiprocessor} {Computer} with {Distributed} {Memory}},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {39--46},
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E. A. Danilkin. On the Question of $3D$~Decomposition Efficiency for the Numerical Solution of Transport Equation with the Use of Multiprocessor Computer with Distributed Memory. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2008), pp. 39-46. http://geodesic.mathdoc.fr/item/VTGU_2008_2_a4/