一维奇异非线性抛物问题的半离散有限元方法的后验误差估计(英文)  

A Posteriori Error Estimation with Finite Element Semi-discrete Method for Nonlinear Singular Parabolic Equation in One Dimensional Space

作　　者：李琳琳[1] 李德茂[1] 

机构地区：[1]内蒙古大学数学系,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2006年第5期491-495,共5页Journal of Inner Mongolia University：Natural Science Edition

摘　　要：对非线性抛物方程考虑用P次多项式基得到半离散有限元方法的后验误差估计,这种误差估计是通过解局部抛物方程在每一个离散单元上用P+1次多项式对解进行校正而得到的,其中P+1次多项式在节点上为零.A posteriori error estimate for semi-discrete finite element method using a pth degree polynomial basis is considered for nonlinear singular parabolic equations. The error estimate is obtained by solving local parabolic equations and correcting the solutions on each element using a p＋ 1st degree polynomial, which is zero at the nodes.

关 键 词：后验误差估计 有限元方法 半离散近似 

分 类 号：O242.21[理学—计算数学]