题目：A Posteriori Error Estimation in Finite Element Analysis

报告人:Professor J.J.W. van der Vegt

Department of Applied Mathematics, University of Twente

 

时间： 2018年10月24日 10月26日 10月31日 11月2日 11月7日 11月9日 上午 9:45~11:20

地点： 管理科研楼 1208（每周三） 1318（每周五）

摘要： 

 

Solution adaptive finite element methods are well suited to efficiently compute accurate solutions of partial differential equations containing local structures, such as interior and boundary layers, discontinuities and singularities. These algorithms locally refine the mesh or locally adjust the polynomial order of the discretization, resulting in hp-adaptive methods. The key to an efficient solution adaptive method are, however, accurate estimates of the local error, obtained from the numerical solution without knowing the exact solution. In these six lectures several techniques for the a posteriori error estimation will be discussed at the basic level. This will provide an overview of several important methods used in a posteriori error estimation in finite element analysis and a good starting point for further study and analysis.