Mathematical Sciences: Numerical Solution of Partial Differential Equations

数学科学：偏微分方程的数值解

• 批准号: 8813258
• 负责人: Jim Douglas
• 金额: $ 9.7万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-06-01 至 1990-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8813258&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Numerical; Solution; Partial

This research involves the numerical solution of a collection of problems arising in geophysics, petroleum engineering, and biological contexts. Finite element procedures and homogenization will be used to continue work on flow of a compressible fluid in a fractured reservoir. Model problems simulating the contraction of a viscoelastic muscle will be studied numerically by developing methods for the numerical solution of the appropriate nonlinear time-dependent partial differential and integro-differential equations and systems.

这项研究涉及地球物理学、石油工程和生物领域中出现的一系列问题的数值解决。 有限元程序和均质化将用于继续研究裂缝性储层中可压缩流体的流动。 将通过开发适当的非线性时变偏微分和积分微分方程和系统的数值求解方法，对模拟粘弹性肌肉收缩的模型问题进行数值研究。