Error analysis of finite element approximation of a stefan problem with nonlinear free boundary condition |
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Authors: | H Y Lee |
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Institution: | 1. Department of Mathematics, Kyungsung University, 608-736, Pusan, Korea
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Abstract: | 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 inL2, H1 and H2 normed spaces. |
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