A finite element method for a single phase semilinear stefan problem in one space dimension

Both continuous and discrete - time Galerkin methods are analysed for the numerical approximation of a single phase semilinear Stefan problem with a nonlinear source term. Optimal rates of convergence in L 2 H l and H 2 - norms are derived for both the cases.

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Veröffentlicht in:Numerical functional analysis and optimization 1991-01, Vol.12 (1-2), p.153-171
Hauptverfasser: Pani, Amiya K., Das, Purna C.
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container_title Numerical functional analysis and optimization
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creator Pani, Amiya K.
Das, Purna C.
description Both continuous and discrete - time Galerkin methods are analysed for the numerical approximation of a single phase semilinear Stefan problem with a nonlinear source term. Optimal rates of convergence in L 2 H l and H 2 - norms are derived for both the cases.
doi_str_mv 10.1080/01630569108816422
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subjects Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
title A finite element method for a single phase semilinear stefan problem in one space dimension
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