Research Initiation: The Dynamic Response of Space Structure Supercomputers, and the Multigrid Approach

本项目的目标是：(1)利用多重网格法开发求解广义特征值问题的有效算法；(2)在超级计算机和并行处理机上实现这些算法；(3)使用这些算法来研究大型空间结构的动力响应。多重网格法(一种快速迭代的线性矩阵方程求解器)将用于求解算法中出现的矩阵方程。(由此产生的算法将在Cray X-MP/48超级计算机和各种并行系统上实现，例如，Alliant FX/8和超级立方体配置。将特征值问题的新求解技术与最先进的超级计算机技术相结合，将使复杂结构能够准确地进行分析，并使这些机器的全部潜力得以实现。

The objectives of this project are: (1) to develop efficient algorithms for the solution of generalized eigenvalue problem by using the multigrid method; (2) to implement these algorithms on supercomputers and parallel processors; (3) use the algorithms to investigate the dynamic response of large scale space structures. The multigrid method (a fast, iterative linear matrix equation solver) will be used to solve the matrix equations that arise in solution algorithms. (The resulting algorithms will be implemented on a CRAY X-MP/48 supercomputer and various concurrent systems e.g., Alliant FX/8 and hypercube configurations. The integration of new solution techniques for the eigenvalue problem with state-of-the-art supercomputer technology will enable complex structures to analyzed accurately and allow the full potential of these machines to be realized.