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

当解表现出局部特征时，基于误差估计的自适应有限元网格是一种常用的技术，可以减少计算良好近似值的工作量。它们可以以数量级加快解决过程。这门短期课程将涉及这些方法的推导、分析和应用。首席讲师Rolf Rannacher是这一领域15年来的主要研究人员之一，是目标导向误差估计背后的推动力量。该技术产生与应用程序中相关的测量直接相关的估计。与许多其他技术相反，它已成功地应用于广泛的非线性问题。CBMS会议将对偏微分方程、优化和特征值计算中各种问题的后验误差估计进行详细概述。理论的介绍将通过实践环节来加强，让参与者探索这些技术的实际方面。

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.