Superconvergence of the continuous Galerkin finite element method for delay-differential equation with several terms
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摘要
The continuous Galerkin finite element method for linear delay-differential equation with several terms is studied. Adding some lower terms in the remainder of orthogonal expansion in an element so that the remainder satisfies more orthogonal condition in the element, and obtain a desired superclose function to finite element solution, thus the superconvergence of p-degree finite element approximate solution on (p+1)-order Lobatto points is derived.
论文关键词：65M60,Delay-differential equation with several terms,Continuous Galerkin finite element method,New element orthogonal expansion,Superconvergence
论文评审过程：Received 18 May 2005, Revised 21 November 2005, Available online 18 January 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2005.11.029
