中立型延迟抛物方程的有限元分析

Finite Element Analysis of Neutral Delay Parabolic Equation

摘要:

考虑一类中立型延迟抛物方程的有限元分析. 基于线性有限元空间, 构造中立型延迟抛物方程的半离散和两个全离散有限元格式. 借助投影算子作为分析工具, 证明了半离散和全离散有限元格式解的L2范数误差估计. 通过数值实验验证了理论分析结果.

关键词:中立型延迟抛物方程; 有限元格式; 误差估计

Abstract:

In this paper, finite element analysis for a class of neutral delay parabolic equation is considered. Based on a linear finite element space, one semidiscrete and two full discrete finite element schemes are constructed for the neutral delay parabolic equation. Then, the L2 norm error estimates of the semidiscrete and two full discrete schemes are obtained by the projection operator. Numerical experiments proves the validity of the theoretical analysis.

Key words:neutral delay parabolic equation; finite element scheme; error estimate