梁问题有限元逼近的新估计及超收敛

New Estimates of Finite Element Approximation to Beam Problem and Superconvergence

在改进的单元正交估计的基础上 ,得到梁问题的n次赫米特有限元uh ∈C1的新误差估计式 。

Based on an improved orthogonal expansion in an element, a new error expression of n degree Hermite finite element approximation u h∈C 1 to beam problem is derived, and then optimal order superconvergence for both displacement and derivatives is obtained.