Computer Science ›› 2018, Vol. 45 ›› Issue (7): 299-306.doi: 10.11896/j.issn.1002-137X.2018.07.051

• Interdiscipline & Frontier • Previous Articles     Next Articles

High-performance Parallel Preconditioned Iterative Solver for Helmholtz Equation with Large Wavenumbers

CHENG Dong-sheng1,2,LIU Zhi-yong3,XUE Guo-wei1,GAO Yue-fang1   

  1. Department of Software Engineering,Shenzhen Institute of Information and Technology,Shenzhen,Guangdong 518172,China1;
    Guangdong Province Key Laboratory of Computational Science,Sun Yat-sen University,Guangzhou 510275,China2;
    Industrial Center,Shenzhen Polytechnic,Shenzhen,Guangdong 518055,China3
  • Received:2017-05-18 Online:2018-07-30 Published:2018-07-30

Abstract: For solving the Helmholtz equation with a large wavenumber,the traditional sequential iterative solver is inefficient and limited to the memory of a single computer.To deal with these problems,a parallel preconditioned iterative solver was proposed based on the message passing interface(MPI).The complex shifted-Laplacian is used to precondition the Helmholtz equation,and the Krylov subspace method Bi-CGSTAB combined with the matrix-based multigrid method is employed to solve the large linear system resulted from discretization of the preconditioned equation.Paral-lelization of the preconditioned solver is achieved under the environment of MPI on the Linux cluster system,and the problems of parallel partition of the multigrid,information transfer and construction of the multigrid components are mainly tackled.Finally,numerical experiments were given.The results show that the proposed method contributes to an excellent parallel speedup,and improves the computing efficiency considerably compared with the sequential iterative solver.

Key words: Helmholtz equation, Parallel, Preconditioner, Bi-CGSTAB, Multigrid

CLC Number: 

  • O246
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