An application of the Kantorovich theoremto nonlinear finite element analysis |
| |
| Authors: | Takuya Tsuchiya |
| |
| Affiliation: | (1) Department of Mathematical Sciences, Faculty of Science, Ehime University, Matsuyama 790-8577, Japan; e-mail: tsuchiya@math.sci.ehime-u.ac.jp , JP |
| |
| Abstract: | Summary. 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. Received March 2, 1998 / Published online September 7, 1999 |
| |
| Keywords: | Mathematics Subject Classification (1991):65L60 65N12 65N15 65N30 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
