非线性双曲积分微分方程有限元方法的收敛性分析

The Analysis of Approximation for F.E.M.for Nonlinear Hyperbolic Integrodifferential Equations

本文研究了一类非线性双曲积分微分方程的半离散和全离散有限元方法，获得了Ｇａｌｅｒｋｉｎ解与真解ｕ之间在Ｌ∞（Ｌ２）、Ｌ∞（Ｈ１）模及其离散模意义下的最优误差估计。

Abstract This paper studies the analysis of approximation for finite element methods for the nonlinear hyperbolic integrodifferential equations,and obtains the optimal L∞(L2)、L∞(H1)-norm error estimates for semidiscrete and fully discrete finite element schemes.