TY - JOUR JF - lu-maco JO - MACO VL - 1 IS - 2 PY - 2020 Y1 - 2020/12/01 TI - A Variational Inequality Approach for One Dimensional Stefan Problem TT - N2 - 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. SP - 35 EP - 43 AU - Moradipour, Mojtaba AD - Lorestan University KW - Stefan problem KW - Variational inequalities KW - Linear complementarity problems. UR - http://maco.lu.ac.ir/article-1-57-en.html DO - 10.29252/maco.1.2.4 ER -