非线性抛物积分微分方程的有限元

FINITE ELEMENT FOR NONLINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS

考虑一般的非线性抛物积分微分方程及其半离散线性元逼近uh(t)·设Ω为凸多角形且解u适当光滑.用连续性方法及正规化Green函数。

This paper considers a general nonlinear parabolic integrodiff-erential equations and its semidiscrete linear element approximation u_h(t),assumes that Ω is a convex polygon and solution u is properly smooth,byused of continuation method and regularized Green's funtion,the maximumestimates max‖(?)(u_h-u)‖L_∞(Ω)=O(hlnh) and max‖u_h-u‖L_∞(Ω)0≤t≤T=O(h^2|lnh|~3) are obtained.