摘要
The main aim of this paper is to study the approximation to viscoelasticity type equations with a Crouzeix-Raviart type nonconforming finite element on the anisotropic meshes. The superclose property of the exact solution and the optimal error estimate of its derivative with respect to time are derived by using some novel techniques. Moreover, employing a postprocessing technique, the global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is studied.
The main aim of this paper is to study the approximation to viscoelasticity type equations with a Crouzeix-Raviart type nonconforming finite element on the anisotropic meshes, The superclose property of the exact solution and the optimal error estimate of its derivative with respect to time are derived by using some novel techniques. Moreover, employing a postprocessing technique, the global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is studied,
基金
This research is supported by the NSF of China (10371113 10471133),SF of Henan ProvinceSF of Education Committee of Henan Province (2006110011)
关键词
黏弹性型函数
Crouzeix-Raviart型元素
后加工
各向异性网目
Viscoelasticity type equations
Crouzeix-Raviart type element
superclose and supercon-vergence properties
postprocessing
anisotropic meshes
