一类非线性伪双曲方程Adini元的超收敛性分析

Superconvergence Analysis of Adini's Finite Element for a Kind of Nonlinear Pseudo-hyperbolic Equations

在半离散格式下,讨论一类伪双曲方程的Adini元逼近,通过导数转移方法和平均值技巧,给出了其近似解与精确解的误差估计及超逼近性,并使用插值后处理技巧得到了相应的整体超收敛结果.

This paper deals with the convergence analysis for a kind of nonlinear pseudo-hyperbolic equations with semidiscretization by Adini＇s finite element.Error estimates and result of superclose were obtained by some novel approaches and techniques.Finally,the corresponding global superconvergence was got by taking the technique of the post-processing operator.