Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition (Q854435)
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scientific article; zbMATH DE number 5076947
| Language | Label | Description | Also known as |
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| English | Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition |
scientific article; zbMATH DE number 5076947 |
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Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition (English)
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4 December 2006
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The author transforms a Stefan problem with a nonlinear free boundary condition into a system consisting of a parabolic equation and ordinary differential equations by means of a Landau-type transformation. A fully discrete finite element method is developed to approximate the solution of the system of a parabolic equation and ordinary differential equations.
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Galerkin finite element method
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nonlinear free boundary condition
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optimal error estimates
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Stefan problem
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parabolic equation
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