A Variational Inequality Approach for One Dimensional Stefan Problem
عنوان مقاله: A Variational Inequality Approach for One Dimensional Stefan Problem
شناسه ملی مقاله: JR_MACO-1-2_004
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_MACO-1-2_004
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
Mojtaba Moradipour - Lorestan University
خلاصه مقاله:
Mojtaba Moradipour - Lorestan University
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.
کلمات کلیدی: Stefan problem, Variational inequalities, Linear complementarity problems.
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1144628/