In this paper, finite element analysis for a class of neutral delay parabolic equation is considered. Based on a linear finite element space, one semidiscrete and two full discrete finite element schemes are constructed for the neutral delay parabolic equation. Then, the L2 norm error estimates of the semidiscrete and two full discrete schemes are obtained by the projection operator. Numerical experiments proves the validity of the theoretical analysis.
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GAN Xiaoting, YIN Junfeng, ZHOU Aiguo, LI Wanli. Finite Element Analysis of Neutral Delay Parabolic Equation[J].同济大学学报(自然科学版),2017,45(01):127~134