Geodesic
Computational Algorithm for Calculation of Wave Fields in Block Media on Multiprocessor Computers
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 2, pp. 210-220.

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We develop a parallel algorithm for finding numerical solutions of 3D dynamic problems of the theory of elasticity in piecewise homogeneous block media with curvilinear interfaces. This algorithm is based on the procedure of splitting with respect to spatial variables, in each stage of which the monotone ENO-scheme is used to find solutions of 1D hyperbolic systems. The questions of effective realization of the algorithm on multiprocessor computers with distributed memory are considered. The developed package of parallel programs is used for investigation of model problems in seismics.
Keywords: dynamics, elasticity, seismic waves, finite-difference method, parallel algorithms.
Mots-clés : decomposition 
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Elena V. Kuchunova; Vladimir M. Sadovskii. Computational Algorithm for Calculation of Wave Fields in Block Media on Multiprocessor Computers. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 2, pp. 210-220. http://geodesic.mathdoc.fr/item/JSFU_2008_1_2_a8/

[1] I. B. Petrov, A. S. Kholodov, “Chislennoe issledovanie nekotorykh dinamicheskikh zadach mekhaniki deformiruemogo tverdogo tela setochno-kharakteristicheskim metodom”, Zh. vychisl. matem. i matem. fiz., 24:5 (1984), 722–739 | MR | Zbl

[2] K. M. Magometov, A. S. Kholodov, Setochno-kharakteristicheskie chislennye metody, Nauka, M., 1988

[3] A. G. Kulikovskii, N. V. Pogorelov, A. Yu. Semenov, Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2001 | Zbl

[4] G. I. Marchuk, Metody rasschepleniya, Nauka, M., 1988 | MR

[5] O. V. Sadovskaya, “Metod skvoznogo scheta dlya issledovaniya uprugoplasticheskikh voln v sypuchei srede”, Zh. vychisl. matematiki i matem. fiziki, 44:10b (2004), 1909–1920 | MR | Zbl

[6] V. V. Voevodin, Vl. V. Voevodin, Parallelnye vychisleniya, BKhV–Peterburg, Spb., 2002

[7] Dzh. Ortega, Vvedenie v parallelnye i vektornye metody resheniya lineinykh sistem, Mir, M., 1991 | MR

[8] E. V. Kuchunova, O. V. Sadovskaya, V. M. Sadovskii, “Kompleks prikladnykh programm dlya chislennogo resheniya prostranstvennykh zadach dinamicheskoi teorii uprugosti na mnogoprotsessornykh vychislitelnykh sistemakh”, Izbrannye materialy Chetvertoi shkoly-seminara “Raspredelennye i klasternye vychisleniya”, IVM SO RAN, Krasnoyarsk, 2005, 159–172