A discrete finite element Galerkin method for a unidimensional single-phase Stefan problem (Q1885076)
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scientific article; zbMATH DE number 2111248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete finite element Galerkin method for a unidimensional single-phase Stefan problem |
scientific article; zbMATH DE number 2111248 |
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A discrete finite element Galerkin method for a unidimensional single-phase Stefan problem (English)
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28 October 2004
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Based on Landau-type transformation, a Stefan problem with nonlinear free boundary condition is transformed into a system consisting of a parabolic equation and ordinary differential equations. Semidiscrete approximations are constructed. Optimal orders of convergence of semidiscrete approximations in \(L^2\), \(H^1\) and \(H^2\) spaces are derived.
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Galerkin method
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free boundary problem
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optimal error estimates
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semidiscretization
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finite element
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Stefan problem
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nonlinear boundary condition
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convergence
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