superconvergence;
finite element method;
generalized finite element method;
Galerkin method;
boundary value problem for a second-order ordinary differential equation;
D O I:
10.1134/S0965542508120105
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
The coincidence of an approximate solution to the boundary value problem for an ordinary differential equation with the exact solution at mesh nodes is proved for a certain class of the generalized finite element methods.
机构:
School of Mathematics and Statistics, Zhengzhou UniversitySchool of Mathematics and Statistics, Zhengzhou University
石东洋
裴丽芳
论文数: 0引用数: 0
h-index: 0
机构:
School of Mathematics and Statistics, Zhengzhou University
Department of Mathematics and Physics, Luoyang Institute of Science and TechnologySchool of Mathematics and Statistics, Zhengzhou University
机构:
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
Shi, Dong-yang
Pei, Li-fang
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机构:
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
Luoyang Inst Sci & Technol, Dept Math & Phys, Luoyang 471003, Henan Province, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
Chen, Yanping
Dai, Li
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机构:
Xiguan Foreign Language Sch, Math Teaching & Res Grp, Guangzhou, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
Dai, Li
Lu, Zuliang
论文数: 0引用数: 0
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机构:
Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Dept Math, Xiangtan, Hunan, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China