半线性抛物方程的时空有限元方法的误差估计  

THE ERROR ESTIMATES OF SPACE-TIME FINITE ELEMENT METHOD FOR THE SEMILINEAR PARABOLIC EQUATIONS

作　　者：李宏 侯春英[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《高等学校计算数学学报》2010年第3期275-290,共16页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(10601022);内蒙古自然科学基金(200607010106);内蒙古大学513项目

摘　　要：1引言本文考虑如下半线性抛物方程(?)其中Ω∈R^2.函数f(u):C→C满足:(1)|f(u)|≤c|u|(?)u∈C(Ω)(2)Lipschitz条件。The continuous Galerkin space-time finite element method for semilin-ear parabolic equations is discussed.The technique of combining the finite element method and the finite difference method is used to derive the error estimates of the approximate solutions in the norm of maximum in time and H^1 norm in space,i.e. L~∞(H^1) norm.And the numerical simulations are given to illustrate the efficiency of the continuous space-times finite element method.

关 键 词：SEMILINEAR PARABOLIC equation continuous SPACE-TIME finite element method error ESTIMATES 

分 类 号：O241.82[理学—计算数学]