A finite element method based on time dependent basis functions is presented for solving a two phase Stefan problem for the heat equation in one space dimension. The stability and the convergence of the method are studied, and a numerical example is given.
Cite this article
Masatake Mori, A Finite Element Method for Solving the Two Phase Stefan Problem in One Space Dimension. Publ. Res. Inst. Math. Sci. 13 (1977), no. 3, pp. 723–753DOI 10.2977/PRIMS/1195189605