Multipole Accelerated Iterative Algorithms for the Rapid Solution of Three Dimensional Integral Equations, Including Adaptive Regridding and Higher-Order Elements

用于快速求解三维积分方程的多极加速迭代算法，包括自适应重新网格化和高阶元素

• 批准号: 9301189
• 负责人: F. Thomas Korsmeyer
• 金额: $ 25.62万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-15 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9301189&HistoricalAwards=false
• 关键词: Multipole; Accelerated; Iterative; Algorithms; Rapid

Multipole-accelerated iterative methods for potential problems will be developed to include automatic discretization error control, in particular, methods to include higher-order boundary elements and automatically refine low-and high- order elements. Two test problems with known analytical solutions specified by a mixture of Neuman and Dirichlet boundary conditions will be used to investigate the low-order approach and to give a direct numerical error calibration. Utilizing the above results several localized approached will be developed with different "Computational Cost" for the purpose of element refinements with specified error bounds.

多极加速迭代 解决潜在问题的方法将 开发包括自动 离散化误差控制， 具体地，方法包括 高阶边界元和 自动细化低和高- 命令元素。 两个测试问题 用已知的解析解 由Neuman的混合物指定 Dirichlet边界条件 将用于调查 低阶方法，并给出一个 直接数值误差校准。 利用上述结果， 本地化的方法将是 开发了不同的 “计算成本”， 元素细化的目的， 指定的错误界限。