U.S.-China Cooperative Research: Finite Element Superconvergence in Computational Mechanics

中美合作研究：计算力学中的有限元超收敛

• 批准号: 9605050
• 负责人: Zhimin Zhang
• 金额: $ 3.6万
• 依托单位: Texas Tech University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-04-15 至 2001-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9605050&HistoricalAwards=false
• 关键词: U.S.; China; Cooperative; Research; Finite

9605050 Zhang This award supports extension of work funded under DMS 9626193 to include cooperation with researchers at China's National Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics. Zhimin Zhang, Texas Tech University, intends to pursue collaboration with Shi Zhongci, Director of the National Laboratory for Scientific and Engineering Computing, Chinese Academy of Sciences, Beijing. The U.S. PI plans to involve one U.S. undergraduate and one U.S. graduate student in the project. The students will join the P.I. in research visits to China to develop their own research in computational mathematics. The primary objective of this project is the study of derivative superconvergence and its recovery in finite element computations. Such study is of fundamental importance in computational mechanics in that engineers are interested in more effective ways to estimate stress, strain energy, etc. At present, most commercial codes used in engineering are required to have adaptive capabilities which allow computations to be performed in the most efficient way. Knowledge of superconvergence is necessary for this adaptivity design. The results of this research will have significant impact on large-scale scientific computing problems arising in structural mechanics. Support on the Chinese side will be provided by the National Natural Science Foundation.

小行星9605050 该奖项支持DMS 9626193资助的工作扩展，包括与中国科学与工程计算国家实验室计算数学研究所的研究人员合作。 德克萨斯理工大学的Zhimin Zhang打算与北京中国科学院科学与工程计算国家实验室主任石忠慈合作。 美国PI计划让一名美国本科生和一名美国研究生参与该项目。 学生们将加入P.I.在研究访问中国，以发展自己的研究在计算数学。 本项目的主要目标是研究有限元计算中的导数超收敛及其恢复。 这样的研究是至关重要的计算力学中，工程师有兴趣在更有效的方法来估计应力，应变能等，目前，大多数商业代码用于工程需要有自适应能力，允许计算以最有效的方式进行。 超收敛的知识是必要的，这种自适应设计。 本文的研究成果将对结构力学中的大规模科学计算问题产生重要影响。 中方的支持将由国家自然科学基金提供。