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

当解决方案表现出局部化的功能，适应有限元网格的基础上的误差估计是一种常用的技术，以减少计算一个良好的近似的努力。它们可以将求解过程加速几个数量级。本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在该领域已经有15年的领先研究人员，是目标导向误差估计的推动力。该技术产生与应用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一类非线性问题。CBMS会议将详细介绍偏微分方程、优化和特征值计算中各种问题的后验误差估计。理论的介绍将通过实践会议来增强，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.