A DISCONTINUOUS FINITE ELEMENT METHOD FOR NON-FOURIER HEAT CONDUCTION PROBLEMS

摘要

A discontinuous Galerkin finite element method is presented for the solution of non-Fourier heat conduction problems that arise from the thermal processing of thin films using the ultra-short pulsed lasers. Mathematical formulation is described in detail and computational procedures are given. Numerical examples are given and compare with available solutions where available. The numerical solutions exhibit strong wave behavior and reflection and interactions of thermal waves at the boundaries in multi-dimensions.