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A Variational Inequality Approach For One Dimensional Stefan Problem
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نویسنده
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Moradipour Mojtaba
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منبع
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Mathematical Analysis And Convex Optimization - 2020 - دوره : 1 - شماره : 2 - صفحه:35 -43
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چکیده
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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.
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کلیدواژه
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Stefan Problem ,Variational Inequalities ,Linear Complementarity Problems
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آدرس
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Lorestan University, Department Of Mathematics, Iran
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پست الکترونیکی
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moradipour.mo@lu.ac.ir
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Authors
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