Abstract
To solve the two-phase inverse Stefan-problem a numerical method based on an approximation-theoretical approach is proposed. Our procedure consists in a Gauss-Newton-type algorithm adapted to this situation. For that reason we use certain integral equations to derive necessary conditions describing a Fréchet-derivative representation of the free boundary operator. Some numerical examples are presented.
Herrn Prof. Dr. L. Collatz zum 70. Geburtstag gewidmet.
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Hoffmann, KH., Kornstaedt, HJ. (1980). Zum Inversen Stefan-Problem. In: Albrecht, J., Collatz, L. (eds) Numerical Treatment of Integral Equations / Numerische Behandlung von Integralgleichungen. International Series of Numerical Mathematics / International Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 53. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6314-8_8
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DOI: https://doi.org/10.1007/978-3-0348-6314-8_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1105-6
Online ISBN: 978-3-0348-6314-8
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