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Recent results in the approximation of free boundaries

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Equadiff 6

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1192))

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References

  1. C. Baiocchi-A. Capelo: "Variational and quasivariational inequalities. Applications to free boundary problems", J. Wiley, 1984.

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  2. C. Baiocchi-G. Pozzi: "Error estimates and free-boundary convergence for a finite difference discretization of a parabolic variational inequality", RAIRO Numer. Anal. 11, 4 (1977), 315–340.

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  3. F. Brezzi: "Error estimates in the approximation of a free boundary", Math. Probl. in Structural Analysis, (G. Del Piero-F. Mauceri Eds.), Springer, CIS, Courses and Lect. n. 288 (1985), 17–23.

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  4. F. Brezzi-L. Caffarelli: "Convergence of the discrete free boundaries for finite element approximations", RAIRO Numer. Anal., 17 (1983), 385–395.

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  5. L. Caffarelli: "A remark on the Haussdorff measure of a free boundary, and the convergence of coincidence sets", Boll. U.M.I. (5), 18 A (1981), 109–113.

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  6. P. Ciarlet: "The Finite Element Method for Elliptic Problems", North-Holland (1978).

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  7. A. Friedman: "Variational Principles and Free Boundary Problems", Wiley, New York, (1982).

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  8. E. Magenes, Editor (1980), "Free Boundary Problems", 2 vol., Proc. Sem. (Pavia, 1979), Istituto Nazionale di Alta Matematica, Roma.

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  9. R.H. Nochetto: "A note on the approximation of free boundaries by finite element methods", To appear in R.A.I.R.O. Anal.Numer.

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  10. P. Pietra-C. Verdi: "Convergence of the approximated free-boundary for the multidimensional one-phase Stefan problem", (to appear in Computational Mechanics).

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  11. P. Pietra-C. Verdi: "Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem", (to appear).

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Authors and Affiliations

  1. Instituto di Analisi Numerica del C. N. R., Universita di Pavia, C.so Carlo Alberto, 5 - 27100, Pavia, Italy

    F. Brezzi

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  1. F. Brezzi
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Jaromír Vosmanský Miloš Zlámal

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© 1986 Equadiff 6 and Springer-Verlag

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Brezzi, F. (1986). Recent results in the approximation of free boundaries. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076082

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  • DOI: https://doi.org/10.1007/BFb0076082

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

  • eBook Packages: Springer Book Archive

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