A solidification process for a semi-infinite material is presented through a non-linear two-phase unidimensional Stefan problem, where a convective boundary condition is imposed at the fixed face x=0. The volumetric heat ...

We consider a two-phase Stefan problem for a semi-infinite body x > 0, with a convective boundary condition including a density jump at the free boundary with a time-dependent heat transfer coefficient of the type h∕ √t, ...

We study solutions to a one-phase singular perturbation problem that arises in combustion theory and that formally approximates the classical one-phase free boundary problem. We introduce a natural density condition on the ...

We study a one-phase Stefan problem for a semi-in nite material with temperature-dependent thermal conductivity with a boundary condition of Robin type at the xed face x = 0. We obtain su cient conditions for data in order ...

A new enriched finite element formulation for solving isothermal phase change problems is presented. We propose a fixed mesh method, where the discontinuity in the temperature gradient is represented by enriching the finite ...

We prove a Theoretical result which relates phase-lag to the error constant of a numerical method for periodic problem y'' = f(x, y).

We consider two one-phase nonlinear one-dimensional Stefan problems for a semi-infinite material x > 0; with phase change temperature Tf : We assume that the heat capacity and the thermal conductivity satisfy a Storm’s ...

This paper introduces a finite element temperature-based model to represent conduction-advection dominated heat transfer when the material is undergoing phase-change. A fixed domain method is applied, so that the energy ...

We consider a nonlinear one-dimensional Stefan problem for a semi-infinite material x> 0 , with phase change temperature Tf. We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. A ...