Small Grants for Exploratory Research: Inverse Solidification/Melting: A Boundary Integral Formulation Using a Constraint Projection Method

用于探索性研究的小额资助：逆凝固/熔化：使用约束投影方法的边界积分公式

• 批准号: 9510441
• 负责人: Jay Frankel
• 金额: $ 2.99万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-03-01 至 1996-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9510441&HistoricalAwards=false
• 关键词: Small; Grants; Exploratory; Research; Inverse

ABSTRACT JAY FRANKEL UNIVERSITY OF TENNESSEE, AT KNOXVILLE CTS - 9510441 This proposal is to fund innovative exploratory research on inverse analysis of materials in which freezing or melting are occurring during heat transfer. Potential application is to metal casting, where control of the freezing rate can help control crystal size during the freezing process. Inverse problems are typically ill-posed in the mathematical sense, and solution for the boundary conditions that will provide a given freezing rate are often unstable and sensitive to initial conditions or input data. The PI seeks a SGER to explore mathematical techniques that have shown initial success in providing stable solutions to this type of problem. If successful, he will then apply for further support.

摘要：田纳西州杰伊·弗兰克尔大学，位于诺克斯维尔CTS - 9510441 该提案旨在资助对传热过程中发生冻结或融化的材料进行逆分析的创新探索性研究。 潜在的应用是金属铸造，其中控制冷冻速率可以帮助控制冷冻过程中的晶体尺寸。反问题在数学意义上通常是不适定的，并且将提供给定冻结速率的边界条件的解通常是不稳定的，并且对初始条件或输入数据敏感。 PI寻求一个SGER来探索在为这类问题提供稳定解决方案方面取得初步成功的数学技术。 如果成功，他将申请进一步的支持。