基于多核平台的广义特征值问题并行子空间迭代方法

2011 Fourth International Symposium on Parallel Architectures, Algorithms and Programming Pub Date : 2011-12-09 DOI:10.1109/PAAP.2011.47

Shunxu Wang

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引用次数: 1

摘要

提出了一种基于多核平台的并行子空间迭代求解特征值问题的方法，该方法可以并行求解多个极值特征对。与Jacobi-Davidson方法相比，该方法的子空间维数保持不变，便于编程实现。在Intel Fortran和OpenMp联合编程环境下，在四核计算机上进行了数值实验。以某型号飞机的机翼频率和飞机挂架计算为例。最后给出了飞机机翼和飞机塔架的前10个频率，表明了并行计算算法的有效性和适用性。

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A Parallel Subspace Iteration Method for Generalized Eigenvalue Problems Based on Multi-core Platform

A parallel subspace iteration method for solving eigenvalue problem of based on multi-core platform is presented, which can solve several extreme eigenpair in parallel. Compared with Jacobi-Davidson method, the dimension number of the subspace in the method keeps unchanged, which makes it easier for the programming implementation. Numerical experiments are performed with a quad-core computer under the joint programming environment of Intel Fortran and OpenMp. The computation of the plane wing frequency and aircraft pylon for a real model airplane is taken as an example. As a result, the first 10 frequencies of a plane wing and an aircraft pylon are provided which shown the efficiency and applicability of our parallel computation algorithm.

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2011 Fourth International Symposium on Parallel Architectures, Algorithms and Programming

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