An application of the Kantorovich theoremto nonlinear finite element analysis

被引：0
|
作者：
Takuya Tsuchiya
机构：
[1] Department of Mathematical Sciences,
[2] Faculty of Science,undefined
[3] Ehime University,undefined
[4] Matsuyama 790-8577,undefined
[5] Japan; e-mail: tsuchiya@math.sci.ehime-u.ac.jp ,undefined
来源：
Numerische Mathematik | 1999年 / 84卷
关键词：
Mathematics Subject Classification (1991):65L60, 65N12, 65N15, 65N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Finite element solutions of strongly nonlinear elliptic boundary value problems are considered. In this paper, using the Kantorovich theorem, we show that, if the Fréchet derivative of the nonlinear operator defined by the boundary value problem is an isomorphism at an exact solution, then there exists a locally unique finite element solution near the exact solution. Moreover, several a priori error estimates are obtained.
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页码：121 / 141
页数：20
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