کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
524043 868546 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A fast parallel algorithm for solving block-tridiagonal systems of linear equations including the domain decomposition method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A fast parallel algorithm for solving block-tridiagonal systems of linear equations including the domain decomposition method
چکیده انگلیسی


• The new parallel algorithm for solving SLAEs with the same block-tridiagonal matrix is proposed.
• The dichotomy algorithm allows an effective use of the domain decomposition on a supercomputer.
• The band preconditioner can be successfully implemented on supercomputers.

In this study, we develop a new parallel algorithm for solving systems of linear algebraic equations with the same block-tridiagonal matrix but with different right-hand sides. The method is a generalization of the parallel dichotomy algorithm for solving systems of linear equations with tridiagonal matrices [1]. Using this approach, we propose a parallel realization of the domain decomposition method (the Schur complement method). The calculation of acoustic wave fields using the spectral-difference technique improves the efficiency of the parallel algorithms. A near-linear dependence of the speedup with the number of processors is attained using both several and several thousands of processors. This study is innovative because the parallel algorithm developed for solving block-tridiagonal systems of equations is an effective and simple set of procedures for solving engineering tasks on a supercomputer.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Parallel Computing - Volume 39, Issues 6–7, June–July 2013, Pages 245–258
نویسندگان
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