非线性抛物积分微分方程的各向异性有限元高精度分析(英文)  

High Accuracy Analysis of Anisotropic Finite Element Method for Nonlinear Parabolic Integrodifferential Equations

作　　者：石东洋[1] 张步英[1] 

机构地区：[1]郑州大学数学系,河南郑州450052

出　　处：《应用数学》2008年第3期436-442,共7页Mathematica Applicata

基　　金：NSF of China(10671184)

摘　　要：本文讨论非线性抛物积分微分方程的各向异性有限元方法.在不引入真解的H1-Volterra投影的情况下得到了半离散格式下的整体超收敛.The supercloseness of the bilinear finite element approximation to nonlinear integrodifferential equations with anisotropic meshes is considered in this paper. The global superconvergence for semidiscrere scheme is proposed.without referring to H1 - Volterra projection of the solution of the problem.

关 键 词：非线性抛物积分微分方程 超收敛 插值后处理 

分 类 号：O242.21[理学—计算数学]