Mixed finite element method for a single phase quasi-linear Stefan problem with a forcing term in non-divergence form ✩

Based on coordinate transformation, a mixed finite element method is proposed and analyzed for a single phase quasi-linear Stefan problem with forcing term in non-divergence form. A better rate of convergence for the flux in L2- norm is derived using H1-Galerkin mixed method in one space dimension.  2003 Elsevier Science (USA). All rights reserved