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"Parallel computations for the simulation of seismic waves on the basis
of the additive Schwartz method" Belonosov M.A., Kostov K., Reshetova G.V., Solov'ev S.A., Cheverda V.A. |
The Laguerre time transform for the elastic wave equations leads to a definite spatial operator independent of a separation parameter. This allows one to perform parallel computations on the basis of Schwartz alternations using a domain decomposition with overlapping. On each alternation step, the resulting system of linear algebraic equations in each subdomain is solved independently, so one can use a direct solver on the basis of the LU-decomposition. Since the spatial operator is independent of separation parameters, this decomposition can be performed only once and be saved in RAM for each elementary subdomain to use for all right-hand sides. This approach is implemented and the corresponding software for high performance computers with hybrid parallel architecture is developed. A number of numerical results illustrating the analysis of scalability are discussed. Keywords: Laguerre transform, definite operator, additive Schwartz method, parallel computations, scalability |
Belonosov M.A. e-mail: BelonosovMA@ipgg.sbras.ru;
Solov'ev S.A. e-mail: SolovevSA@ipgg.sbras.ru;
Cheverda V.A. e-mail: CheverdaVA@ipgg.sbras.ru;
Kostov K. e-mail: kostov1@slb.com; Reshetova G.V. e-mail: kgv@nmsf.sscc.ru |
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