A Finite Element Galerkin Method for a Unidimensional Single-Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions

Based on straightening the free boundary, an H1-Galerkin method is proposed and analysed for a single-phase nonlinear Stefan problem with Dirichlet boundary conditions. Optimal H1 estimates for continuous-time Galerkin approximations are derived.

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Bibliographic Details
Published in:IMA journal of numerical analysis 1991-01, Vol.11 (1), p.99-113
Main Authors: PANI, A. K., DAS, P. C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
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Description
Summary:Based on straightening the free boundary, an H1-Galerkin method is proposed and analysed for a single-phase nonlinear Stefan problem with Dirichlet boundary conditions. Optimal H1 estimates for continuous-time Galerkin approximations are derived.
ISSN:0272-4979
1464-3642
DOI:10.1093/imanum/11.1.99