Яндекс.Метрика

M.A. Belonosov,C.Kostov, G.V. Reshetova, S.A. Soloviev, V.A. Tcheverda

Том: Lecture Notes in Computer Science
Том: 7782 , Год издания: 2013
Многотомное издание: Lecture Notes in Computer Science
Страницы: 153-167

Аннотация

This paper describes the implementation of parallel computing to model seismic waves in heterogeneous media based on Laguerre transform with respect to time. The main advantages of the transform are a definite sign of the spatial part of the operator and its independence of the parameter of separation. This property allows one to efficiently organize parallel computations by means of decomposition of the computational domain with successive application of the additive Schwarz method. At each step of the Schwarz alternations, a system of linear algebraic equations in each subdomain is resolved independently of all the others. A proper choice of Domain Decomposition reduces the size of matrices and ensures the use of direct solvers, in particular, the ones based on LU decomposition. Thanks to the independence of the matrix of the parameter of Laguerre transform with respect to time, LU decomposition for each subdomain is done only once, saved in the memory and used afterwards for different right-hand sides
индекс в базе ИАЦ: 040785