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

本项目的目标是：（1）开发高效的 广义特征值问题的算法 采用多重网格方法;（2）在 超级计算机和并行处理器;（3）使用算法来 研究大型空间结构的动力响应。 多重网格法（快速迭代线性矩阵方程求解器） 将被用来解决矩阵方程，出现在解决方案 算法 (The由此产生的算法将在一个 CRAY X-MP/48超级计算机和各种并发系统，例如， Alliant FX/8和超立方体配置。 整合新 本征值问题的求解技术 超级计算机技术将使复杂的结构分析 准确，并允许这些机器的全部潜力， 实现了

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.