AU - Moradipour, Mojtaba TI - A Variational Inequality Approach for One Dimensional Stefan Problem PT - JOURNAL ARTICLE TA - lu-maco JN - lu-maco VO - 1 VI - 2 IP - 2 4099 - http://maco.lu.ac.ir/article-1-57-en.html 4100 - http://maco.lu.ac.ir/article-1-57-en.pdf SO - lu-maco 2 ABĀ  - In this paper, we develop a numerical method to solve a famous free boundary PDE called the one dimensional Stefan problem. First, we rewrite the PDE as a variational inequality problem (VIP). Using the linear finite element method, we discretize the variational inequality and achieve a linear complementarity problem (LCP). We present some existence and uniqueness theorems for solutions of the variational inequalities and free boundary problems. Finally we solve the LCP numerically by applying a modification of the active set strategy. CP - IRAN IN - Department of Mathematics, Lorestan University, Khorramabad, Iran LG - eng PB - lu-maco PG - 35 PT - Research Article YR - 2020