A constrained moving finite element solution of the one-dimensional oxygen diffusion with absorption problem (Q1206590)
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scientific article; zbMATH DE number 149165
| Language | Label | Description | Also known as |
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| English | A constrained moving finite element solution of the one-dimensional oxygen diffusion with absorption problem |
scientific article; zbMATH DE number 149165 |
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A constrained moving finite element solution of the one-dimensional oxygen diffusion with absorption problem (English)
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1 April 1993
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An adaptive finite element method is derived for the numerical solution of a one-dimensional, implicit, moving-boundary problem: the oxygen diffusion with absorption problem of \textit{J. Crank} and \textit{R. S. Gupta} [J. Inst. Math. Appl. 10, 19-33 (1972; Zbl 0247.65064) and ibid. 10, 296- 304 (1972; Zbl 0299.65049)]. The method includes a moving grid adapted to the moving boundary. A moving-boundary-velocity iteration procedure is described. Numerical results in one dimension are presented. An extension of the method to two dimensions is suggested.
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moving grid
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numerical results
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adaptive finite element method
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moving- boundary problem
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oxygen diffusion with absorption
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moving-boundary- velocity iteration
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