有限元逼近一类带弱奇异核和非光滑初值抛物积分──微分方程

Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel and Nonsmooth Data

本文研究一类含弱奇异核记忆项的抛物型积分微分方程的空间离散有限元方法数值解，导出最优阶的误差估计，特别注意于非光滑初值情形。

The purpose in this paper is to discuss the numerical solution for spatially discrete finite element methods for an integro - differential equation of parabolic type with a memory term containing a weakly singular kernel. Optimal order estimates are derived. Special attention is paid the case of nonsmooth data.