Iterative method for solving a nonlinear Robin problem

In \cite{CJ1} M. Jaoua et al. studied the linear approximation of Robin problem on \(\Omega\) an open bounded domain of \(\R^d\), and they given some important results. In this paper, we study a nonlinear approximation of an elliptic problem with a nonlinear Robin boundary condition in a domain of \...

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Bibliographic Details
Published inarXiv.org
Main Authors Benameur, Jamel, Elhechmi, Chokri
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.09.2024
Subjects
Approximation
Boundary conditions
Iterative methods
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Summary:In \cite{CJ1} M. Jaoua et al. studied the linear approximation of Robin problem on \(\Omega\) an open bounded domain of \(\R^d\), and they given some important results. In this paper, we study a nonlinear approximation of an elliptic problem with a nonlinear Robin boundary condition in a domain of \(\R^2\). We prove the existence and uniqueness of solution by an iterative construction method with admissible condition on \(\partial\Omega\).
ISSN:2331-8422