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一类非线性抛物方程的变网格有限元方法
引用本文:陈焕祯.一类非线性抛物方程的变网格有限元方法[J].山东师范大学学报(自然科学版),1990,5(3):13-17.
作者姓名:陈焕祯
作者单位:山东师大数学系
摘    要:为求一类非线性抛物方程的有限元解,本文提出一类对不同时间上的空间区域采用不同同格的变网格有限元格式,并给出了真解和有限元解的最优误差估计.

关 键 词:变网格  有限元法  误差估计

A FEM WITH MOVING GRID FOR A CLASS OF NONLINEAR PARABOLIC PROBLEMS
Chen Huanzhen.A FEM WITH MOVING GRID FOR A CLASS OF NONLINEAR PARABOLIC PROBLEMS[J].Journal of Shandong Normal University(Natural Science),1990,5(3):13-17.
Authors:Chen Huanzhen
Institution:Department of mathematics
Abstract:To find out the finite element solution for a class of nonlinear parabolic eqaution,a finite element method with moving grid is presented,in which a different grid is employed on the Spatial domain at different time. Furthermore the optimal error estimations between the exact solution and the FEM solution are obtained.
Keywords:moving grid  Finite Element Method  error estimation
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