Mathematical Sciences: Boundary Element Methods for IntegralEquations of the First Kind Governing 3-D Problems

数学科学：处理 3-D 问题的第一类积分方程的边界元方法

• 批准号: 8704463
• 负责人: Ernst Stephan
• 金额: $ 12.3万
• 依托单位: Georgia Tech Research Corporation
• 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 1990-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8704463&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Boundary; Element; Methods

This research program will be concerned with a number of theoretical and practical topics concerning boundary element methods for the solution of 3 dimensional elliptic problems. These topics include: 1. Galerkin and collocation methods. 2. Mesh refinement and singular elements. 3. Conjugate gradient methods. 4. Multigrid methods. 5. Domain substructuring. 6. Vector processing. Efficient numerical methods along with more powerful computers will enable us to solve more complex and realistic technical problems in science and engineering. The results from the present research will give better algorithms for a large class of practical problems.

本研究计划将涉及三维椭圆问题的边界元方法的一些理论和实践课题。这些主题包括：1。伽辽金和搭配方法。2. 网格细化和奇异元素。3. 共轭梯度法。4. 多重网格方法。5. 域子结构化。6. 向量处理。高效的数值方法和更强大的计算机将使我们能够解决科学和工程中更复杂和现实的技术问题。本研究的结果将为许多实际问题提供更好的算法。