积分微分方程各向异性有限元的收敛性分析

Convergence Analysis for Interracial and Differential Equation with Anisotropic Finite Element

本文研究具有各向异性特征的双二次元对具有积分型边界条件的积分微分方程的逼近问题,通过采用积分恒等式和插值后处理技术,在不需要Ritz-Volterra投影及任何修正格式情况下,利用该单元的特殊性质,在各向异性网格下得到了相应的超逼近和超收敛结果。

In this paper,the approximation of the interracial and differential equation with interracial boundary condition is studied with the anisotropic biquadratic element.By means of integral identities techniques and a postprocessing technique,based on the special properties of the element the super-close property and super-convergence are obtained without Ritz-Volterra projection and any modification on anisotropic meshes.