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:
Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R ChinaHong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
Chen, Jie
Wang, Desheng
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h-index: 0
机构:
Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, SingaporeHong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
Wang, Desheng
Du, Qiang
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h-index: 0
机构:
Penn State Univ, University Pk, PA 16802 USAHong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China