摘要
In this paper,we present the least-squares mixed finite element method and investigate superconvergence phenomena for the second order elliptic boundary-value problems over triangulations.On the basis of the L2-projection and some mixed finite element projections,we obtain the superconvergence result of least-squares mixed finite element solutions.This error estimate indicates an accuracy of O(h3/2)if the lowest order Raviart-Thomas elements are employed.
In this paper, we present the least-squares mixed finite element method and investigate superconvergence phenomena for the second order elliptic boundary-value problems over triangulations. On the basis of the L2-projection and some mixed finite element projections, we obtain the superconvergence result of least-squares mixed finite element solutions. This error estimate indicates an accuracy of 0(h3/2) if the lowest order Raviart-Thomas elements are employed.
基金
Supported by National Science Foundation of China
the Backbone Teachers Foundation of China
the Backbone Teachers Foundation of China State Education Commission
the Special Funds for Major State Basic Research Project
关键词
超收敛性
最小二乘混合有限元法
椭圆方程
边值问题
the least-squares mixed finite element, superconvergence
lowest order, regular families of uniform triangulation, interpolation projection.
