摘要
A derivative patch interpolating recovery technique is analyzed for the finite element interpolation operator of projection type and the two-point boundary value problems. It is shown that the convergence rate of the recovered derivative admits superconvergence on the recovered subdomain, and is two order higher than the optimal global convergence rate at each internal nodal point when even order finite element spaces and local uniform meshes are used.
A derivative patch interpolating recovery technique is analyzed for the finite element interpolation operator of projection type and the two-point boundary value problems. It is shown that the convergence rate of the recovered derivative admits superconvergence on the recovered subdomain, and is two order higher than the optimal global convergence rate at each internal nodal point when even order finite element spaces and local uniform meshes are used.
出处
《计算数学》
CSCD
北大核心
2001年第1期1-8,共8页
Mathematica Numerica Sinica
基金
教育部高校骨干教师基金
