An easy procedure for solving steady-state conduction heat transfer problems with nonlinear boundary conditions
type: Item
instance of: scholarly article
title: An easy procedure for solving steady-state conduction heat transfer problems with nonlinear boundary conditions
zbMATH Open document ID: 0888.35041
DOI: 10.1016/S0093-6413(97)00012-8
published in: Mechanics Research Communications
publication date: 1998-06-08T00:00:00Z
review text: The author proves that the solution of the nonlinear boundary value problem \[ \text{div}(k \nabla T)= 0\quad\text{in }\Omega,\quad -k\nabla(T\cdot n)= af(T)- b\quad\text{on }\partial\Omega, \] where \(\Omega\subset\mathbb{R}^3\) is a bounded domain. \(T\), the unknown, can be obtained by successive approximations with solutions of a corresponding linear problem.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 1080515
zbMATH Keywords: successive approximations
author: R. M. Saldanha da Gama
MaRDI profile type: Publication
Wikidata QID: Q127349867
full work available at URL: s0093-6413(97)00012-8
OpenAlex ID: W2106875572
description: scientific article; zbMATH DE number 1080515