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A High Performance Multifrontal Code for Linear Solution of Structures Using Multi-Core Microprocessors
作者单位:Computer Aided Structural Engineering Center,School of Civil and Environmental Engineering Georgia Institute of Technology
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.

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

A High Performance Multifrontal Code for Linear Solution of Structures Using Multi—Core Microprocessors
Authors:Efe Guney  Kenneth Will
Institution:Computer Aided Structural Engineering Center, School of Civil and Environmental Engineering Georgia Institute of Technology
Abstract: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.
Keywords:multifrontal method  Cholesky decomposition  high performance computing  finite element method  multi-core programming  BLAS3  parallel computing
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