Journal of applied mathematics & informatics
- 제22권1_2호
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- Pages.223-235
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
ERROR ANALYSIS OF FINITE ELEMENT APPROXIMATION OF A STEFAN PROBLEM WITH NONLINEAR FREE BOUNDARY CONDITION
- Lee H.Y. (Department of Mathematics, Kyungsung University)
- 발행 : 2006.09.01
초록
By applying the Landau-type transformation, we transform a Stefan problem with nonlinear free boundary condition into a system consisting of a parabolic equation and the ordinary differential equations. Fully discrete finite element method is developed to approximate the solution of a system of a parabolic equation and the ordinary differential equations. We derive optimal orders of convergence of fully discrete approximations in