A finite element method for solving singular boundary-value problems

被引：0
作者：
Yakovlev M.N. [1 ]
机构：
[1] St.Petersburg Department, Steklov Mathematical Institute, St.Petersburg
来源：
Journal of Mathematical Sciences | 2008年 / 150卷 / 2期
关键词：
Russia; Finite Element Method; Mathematical Institute; Steklov Mathematical Institute;
D O I：
10.1007/s10958-008-0115-z
中图分类号：
学科分类号：
摘要：
It is proved that under certain assumptions on the functions q(t) and f(t), there is one and only one function u0(t) {W21 o (a,b) at which the functional ∫ ab [u(t)2 dt + ∫ ab q(t)u2 (t)dt} - 2∫ ab {f(t)u(t)dt attains its minimum. An error bound for the finite element method for computing the function u0(t) in terms of q(t), f(t), and the meshsize h is presented. Bibliography: 3 titles. © 2008 Springer Science+Business Media, Inc.
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页码：1998 / 2004
页数：6
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