A finite-element/Green's function embedding technique applied to one-dimensional change-of-phase heat transfer

A fixed-grid embedding technique using a finite-element discretization and a boundary Green's function is developed for unsteady change-of-phase conductive-heat-transfer problems. A one-dimensional Stefan problem is analyzed, and the results of the numerical calculations are shown to be in good agreement with the exact solutions in graphs. The approach is adaptable to finite-difference or spectral methods.