Pietra, Verdi: On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem

Pietra, Paola and Verdi, Claudio:
On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 79 (1985), fasc. n.6, p. 159-171, (English)
pdf (1.04 MB), djvu (1.15 MB). | MR 0944369 | Zbl 0635.65128

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Si discretizza il problema dell'ostacolo parabolico con differenze all'indietro nel tempo ed elementi finiti lineari nello spazio e si dimostrano stime dell'errore per la frontiera libera discreta.

Referenze Bibliografiche

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[2] L.A. CAFFARELLI (1981) — A remark on the Hausdorff measure of a free boundary and the convergence of coincidence sets, «Boll. U.M.I.», (5) 18-A, 109-113. | MR 607212 | Zbl 0453.35085

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[10] R.H. NOCHETTO - A note on the approximation of free boundaries by finite element methods, to appear in $M^{2}AN$ (ex «R.A.I.R.O. Anal. Numér.»). | fulltext EuDML | fulltext mini-dml | MR 852686 | Zbl 0596.65092

[11] P. PIETRA and C. VERDI - Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem, to appear in «Comp. Mech.». | Zbl 0622.65126

[12] A. FETTER - $L^{\infty}$-error estimate for an approximation of a parabolic variational inequality, preprint. | fulltext (doi) | MR 880335 | Zbl 0617.65064

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Referenze Bibliografiche