The Numerical Solution of Differential Equations in Mechanical and Electrical Engineering Field Problems on the Hypercube Parallel Computer

机电工程领域微分方程在超立方并行计算机上的数值求解

• 批准号: 8812958
• 负责人: Steven Castillo
• 金额: $ 6万
• 依托单位: New Mexico State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-02-01 至 1990-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8812958&HistoricalAwards=false
• 关键词: Numerical; Solution; Differential; Equations; Mechanical

A collaborative effort to develop algorithms for the numerical solution of problems arising in electrical and mechanical engineering on massively parallel super-computers will be initiated. The three boundary-value problems that will be used as examples include Laplace's equation, Poisson's equation, and the reduced wave equation. These equations appear in electromagnetic fields, heat conduction and diffusion, and fluid mechanics. The problem of distributing the computational tasks associated with finite element method will be addressed. These tasks include assembling the system of equations and the solution of large sparse, systems of equation using frontal methods and multi-level adaptive techniques. Two- and three-dimensional open domain problems will be studied as they seem particularly suited to the hypercube architecture. Furthermore, resources will be used to train interdisciplinary graduate students which serve to build infrastructure and foster collaboration within engineering.

一个合作的努力，以开发算法的数值 解决电气和机械方面出现的问题 在大规模并行超级计算机上的工程将是 启动。 三个边值问题将被用作 例子包括拉普拉斯方程，泊松方程，和 约化波动方程 这些方程出现在电磁学中， 场、热传导和扩散以及流体力学。 分配相关计算任务的问题 有限元方法将被解决。 这些任务包括 组装方程组和大规模的解决方案， 稀疏，方程系统使用前沿方法和多层次 自适应技术 二维和三维开域 将研究这些问题，因为它们似乎特别适合于 超立方体结构 此外，资源将用于培训跨学科人员， 研究生致力于建设基础设施和培养 工程内部的合作。