Superconvergence of a discontinuous finite element method for a nonlinear ordinary differential equation

被引：3
|
作者：
Deng, Kang [1 ]
Xiong, Zhiguang [1 ]
机构：
[1] Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 07期
基金：
中国博士后科学基金;
关键词：
Nonlinear ordinary differential equation; Discontinuous finite element with interpolated coefficients; Characteristic points; Superconvergence; INTERPOLATED COEFFICIENTS; HEAT-EQUATION;
D O I：
10.1016/j.amc.2010.09.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, n-degree discontinuous finite element method with interpolated coefficients for an initial value problem of nonlinear ordinary differential equation is introduced and analyzed. By using the finite element projection for an auxiliary linear problem as comparison function, an optimal superconvergence u - U = O(h(n+2)), n >= 2, at (n + 1)-order characteristic points in each element respectively is proved. Finally the theoretic results are tested by a numerical example. (C) 2010 Elsevier Inc. All rights reserved.
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页码：3511 / 3515
页数：5
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