Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions

The steady-state heat conduction in composite (layered) heat conductors with temperature dependent thermal conductivity and mixed boundary conditions involving convection and radiation is investigated using the method of fundamental solutions with domain decomposition. The locations of the singularities outside the solution domain are optimally determined using a non-linear least-squares procedure. Numerical results for non-linear bimaterials are presented and discussed.