广义椭圆投影的L_p模逼近性质及其梯度的超收敛性

L_p Norm Approximation Properties and Gradient Superconvergence of Non-Classical Elliptic Projection

讨论了有限元空间中广义椭圆投影的Ｌｐ模逼近性质．给出其梯度的超收敛性，所得结果可应用于抛物型积分－微分方程有限元逼近的误差分析．

The approximation properties of non-classical elliptic projection in Lp (2≤p≤∞) norms are derived. Inaddition. some superconvergence phenomenon of gradients are discussed under strongly regular traingulations. Theseresults can be applied to the finite element approximation of parabolic integro-differential equations.