CBMS Regional Conference in the Mathematical Sciences - Adaptive Finite Element Methods for Partial Differential Equations; Spring 2009, College Station, TX

CBMS 数学科学区域会议 - 偏微分方程的自适应有限元方法；

• 批准号: 0834176
• 负责人: Guido Kanschat
• 金额: $ 3.37万
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-02-01 至 2010-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0834176&HistoricalAwards=false
• 关键词: CBMS; Regional; Conference; Mathematical; Sciences

When solutions exhibit localized features, adapted finite element meshes based on error estimations are a frequently used technique to reduce the effort to compute a good approximation. They can accelerate the solution process by orders of magnitude. This short course will deal with the derivation, analysis and application of such methods.The principal lecturer, Rolf Rannacher, has been among the leading researchers in this field for 15 years and is a driving force behind goal oriented error estimation. This technique produces estimates directly related to measurements relevant in applications. As opposed to many other techniques, it has been applied successfully to a wide class of nonlinear problems. The CBMS conference will give a detailed overview over a posteriori error estimation for a variety of problems in partial differential equations, optimization, and eigenvalue computation. The presentation of theory will be augmented by hands-on sessions allowing participants to explore practical aspects of these techniques.

当解具有局部化特征时，基于误差估计的自适应有限元网格是一种常用的技术，以减少计算良好近似值的工作量。它们可以将解决过程加快几个数量级。这门短期课程将讨论这些方法的推导、分析和应用。主要讲师Rolf Rannacher是该领域15年来的领先研究人员之一，是目标导向误差估计背后的推动力。这项技术产生了与应用程序中相关的测量直接相关的估计。与许多其他技术相比，它已经成功地应用于一类广泛的非线性问题。CBMS会议将对偏微分方程、最优化和特征值计算中的各种问题的后验误差估计进行详细的概述。理论的介绍将通过实践环节加以加强，允许参与者探索这些技术的实际方面。