A High Performance Multifrontal Code for Linear Solution of Structures Using Multi-Core Microprocessors  

作　　者：Efe Guney Kenneth Will 

机构地区：[1]Computer Aided Structural Engineering Center, School of Civil and Environmental Engineering Georgia Institute of Technology

出　　处：《Tsinghua Science and Technology》2008年第S1期34-39,共6页清华大学学报（自然科学版（英文版）

摘　　要：A multifrontal code is introduced for the efficient solution of the linear system of equations arising from the analysis of structures. The factorization phase is reduced into a series of interleaved element assembly and dense matrix operations for which the BLAS3 kernels are used. A similar approach is generalized for the forward and back substitution phases for the efficient solution of structures having multiple load conditions. The program performs all assembly and solution steps in parallel. Examples are presented which demonstrate the code’s performance on single and dual core processor computers.A multifrontal code is introduced for the efficient solution of the linear system of equations arising from the analysis of structures. The factorization phase is reduced into a series of interleaved element assembly and dense matrix operations for which the BLAS3 kernels are used. A similar approach is generalized for the forward and back substitution phases for the efficient solution of structures having multiple load conditions. The program performs all assembly and solution steps in parallel. Examples are presented which demonstrate the code's performance on single and dual core processor computers.

关 键 词：multifrontal method Cholesky decomposition high performance computing finite element method multi-core programming BLAS3 parallel computing 

分 类 号：TP332[自动化与计算机技术—计算机系统结构]