Mathematical Sciences: Computations of Optimal Boundary Controls and Designs for Distributed Systems in Optics and Elasticity

数学科学：光学和弹性分布式系统的最优边界控制计算和设计

• 批准号: 8718510
• 负责人: Goong Chen
• 金额: $ 2.07万
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-09-01 至 1989-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8718510&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Computations; Optimal; Boundary

The project focuses on a computational study of problems related to boundary control and designs arising from engineering. These problems deal with optimal designs of boundary impedance for acoustic and optical scatterers, and boundary control of the plate equation in adaptive optics. The method of boundary integral equations and boundary elements will be used, and some recent global optimization techniques will be applied. Proper modelling will also be addressed to reflect the physics of the distributed systems. Substantial efforts will be directed toward calculations on a supercomputer fully utilizing its parallelism and speed. This research is part of control theory and is aimed at improving computational design methods for optimal design of structures and systems.

该项目的重点是对问题的计算研究 与边界控制和工程设计有关。 这些问题涉及边界阻抗的优化设计， 声散射体和光散射体，以及板的边界控制 自适应光学中的方程 边界积分法 方程和边界元将被使用，和一些最近的 将应用全局优化技术。 适当建模 也将被解决，以反映物理的分布 系统. 大量的努力将被导向计算 在超级计算机上充分利用其并行性和速度。 这项研究是控制理论的一部分，旨在 优化设计的改进计算设计方法 结构和系统。