Estimation of the conductivity in the one-phase Stefan problem : numerical results

K. Kunisch; K. A. Murphy; G. Peichl

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1993)

  • Volume: 27, Issue: 5, page 613-650
  • ISSN: 0764-583X

How to cite

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Kunisch, K., Murphy, K. A., and Peichl, G.. "Estimation of the conductivity in the one-phase Stefan problem : numerical results." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 27.5 (1993): 613-650. <http://eudml.org/doc/193717>.

@article{Kunisch1993,
author = {Kunisch, K., Murphy, K. A., Peichl, G.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {parameter estimation; numerical algorithm; stability; diffusion equation; iterative algorithm; transient conductivity coefficient; free boundary problem; one-phase Stefan problem; convergence; numerical results},
language = {eng},
number = {5},
pages = {613-650},
publisher = {Dunod},
title = {Estimation of the conductivity in the one-phase Stefan problem : numerical results},
url = {http://eudml.org/doc/193717},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Kunisch, K.
AU - Murphy, K. A.
AU - Peichl, G.
TI - Estimation of the conductivity in the one-phase Stefan problem : numerical results
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1993
PB - Dunod
VL - 27
IS - 5
SP - 613
EP - 650
LA - eng
KW - parameter estimation; numerical algorithm; stability; diffusion equation; iterative algorithm; transient conductivity coefficient; free boundary problem; one-phase Stefan problem; convergence; numerical results
UR - http://eudml.org/doc/193717
ER -

References

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  1. [1] P. M. ANSELONE, 1965, Convergence and Error Bounds for Approximate Solutions of Integral and Operator Equations, Error in Digital Computation, Vol. II (L. B. Rall, eds.), Wiley and Sons, New York, pp.231-252. Zbl0158.34102MR189277
  2. [2] K. ATKINSON, 1967, The Numerical Solution of Fredholm Integral Equations of the Second Kind, SIAM J. Numerical Anal. 4, 337-348. Zbl0155.47404MR224314
  3. [3] K. ATKINSON, 1972, The Numerical Solution of Fredholm Integral Equations of the Second Kind with Singular Kernels, Numer. Math. 19, 248-259. Zbl0258.65117MR307512
  4. [4] H. T. BANKS and K. KUNISCH, 1989, Estimation Technique for Distributed Systems, Birkhäuser, Boston. Zbl0695.93020MR1045629
  5. [5] J. R. CANNON, 1984, The One-Dimensional Heat Equation, Addison-Wesley, Menlo Park, CA. Zbl0567.35001MR747979
  6. [6] A. FRIEDMAN, 1959, Free Boundary Problems for Parabolic Equations I. Melting of Solids, J. Math. and Mech. 8, 499-517. Zbl0089.07801MR144078
  7. [7] K.-H. HOFFMANN and H.-J. KORNSTAEDT, 1982, Ein numerisches Verfahren zur Lösung eines Identifizierungsproblems bei der Wärmeleitungsgleichung, Numerical treatment of Free Boundary Value Prolbems (J. Albrecht, L. Collatz, and K.-H. Hoffmann, eds.), Birkhäuser Verlag, Boston, pp. 108-126. Zbl0473.65080MR680238
  8. [8] K. KUNISCH, K. MURPHY, G. PEICHL, 1991, Estimation of the Conductivity in the One-Phase Stefan Problem I: Basic Results, Tech. Univ. Graz/Univ. Graz, Inst. für Math. Technical Report No. 184-1991. Zbl0848.35140

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