An easy procedure for solving steady-state conduction heat transfer problems with nonlinear boundary conditions
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.
scientific article; zbMATH DE number 1080515