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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Bibliographische Detailangaben
Veröffentlicht in:	Numerical functional analysis and optimization 1991-01, Vol.12 (1-2), p.153-171
Hauptverfasser:	Pani, Amiya K., Das, Purna C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0163-0563 1532-2467
DOI:	10.1080/01630569108816422