Mathematical Sciences and Computer Research: Higher Order Finite Element Methods and Adaptive Approaches

数学科学和计算机研究：高阶有限元方法和自适应方法

• 批准号: 9120877
• 负责人: Ivo Babuska
• 金额: $ 22.5万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-09-01 至 1996-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9120877&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Computer; Research; Higher

The investigator and his colleagues continue their study and development of highly accurate finite element methods for computing solutions of partial differential equations. They have shown in previous work that high degree methods, such as the h-p version of the finite element method, are very effective. Recently these methods have been implemented in various engineering programs (inclusive of commercial). The research will concentrate on mathematical and numerical problems leading to the reliable solution of problems of solid mechanics with important applications in engineering, such as fractures in 3- dimensional bodies, modelling of plates and shells, etc. The goal of the research is to establish mathematical results that will be used in the computer analysis of engineering problems. These results will allow to be developed highly effective computational methods for broad applications in research and commercial computer codes that are widely used in engineering science and practice.

研究人员和他的同事继续他们的研究， 高精度有限元方法的发展 计算偏微分方程的解。 他们有 在先前工作中示出了高阶方法，例如H-P 版本的有限元法，是非常有效的。 最近，这些方法已经在各种不同的应用中实现。 工程项目（包括商业项目）。 研究 将专注于数学和数值问题， 固体力学问题的可靠解决方案， 在工程中的重要应用，如3- 三维物体、板壳模型等。 研究的目的是建立数学模型， 将用于工程计算机分析的结果 问题 这些结果将允许高度开发 广泛应用的有效计算方法， 研究和商业计算机代码，广泛用于 工程科学与实践