| 非线性积分微分方程有限元逼近的L_∞-模误差界 |
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| 引用本文： | 张铁,林延平.非线性积分微分方程有限元逼近的L_∞-模误差界[J].计算数学,1991,13(2):177-186. |
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| 作者姓名： | 张铁 林延平 |
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| 作者单位： | 东北工学院数学系
(张铁)，中国科学院沈阳计算技术研究所(林延平) |
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| 摘 要： | 在气体扩散、热传导等众多物理问题中,经常出现如下非线性抛物型积分-微分方程:
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| 关 键 词： | 非线性 积分微分方程 有限元逼近 |
L_∞ ERROR BOUNDS FOR SOME NONLINEAR INTEGRODIFFERENTIAL EQUATIONS BY FINITE ELEMENT APPROXIMATIONS |
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| Institution: | Zhang Tie Northeast University of Technology Lin Yan-ping Sheyang Institute of Computing Technology Chinese Academy of Sciences |
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| Abstract: | In this paper, semi-discrete finite element approximations to nonlinear integro-differential equations of parabolic type u_t=?·{a(u)?u+∫from 0 to t b(t,u(τ))?u(τ) dτ}+f(u)and nonlinear Sobolev equations u_t=?·{a(u)?u_t+c(u)?u}+f(u)are studied. A non-classical elliptic projection is defined and used in the derivationof the optimal L_∞ error estimates for the finite element approximations. |
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