A Posteriori Error Estimation in Finite Element Analysis
本讲教师：J.J.W. van der Vegt
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.