On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
- Volume: 79, Issue: 6, page 159-171
- ISSN: 1120-6330
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topPietra, 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 Lincei. Matematica e Applicazioni 79.6 (1985): 159-171. <http://eudml.org/doc/287432>.
@article{Pietra1985,
author = {Pietra, Paola, Verdi, Claudio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {discrete free boundary; parabolic obstacle problem; backward-differences in time; linear finite elements in space; rate of convergence; error estimate},
language = {eng},
month = {12},
number = {6},
pages = {159-171},
publisher = {Accademia Nazionale dei Lincei},
title = {On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem},
url = {http://eudml.org/doc/287432},
volume = {79},
year = {1985},
}
TY - JOUR
AU - Pietra, Paola
AU - Verdi, Claudio
TI - On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1985/12//
PB - Accademia Nazionale dei Lincei
VL - 79
IS - 6
SP - 159
EP - 171
LA - eng
KW - discrete free boundary; parabolic obstacle problem; backward-differences in time; linear finite elements in space; rate of convergence; error estimate
UR - http://eudml.org/doc/287432
ER -
References
top- BREZZI, F. and CAFFARELLI, L.A. (1983) - Convergence of the discrete free boundaries for finite element approximations, «R.A.I.R.O. Anal. Numér.», 17, 385-395. Zbl0547.65081MR713766
- CAFFARELLI, L.A. (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. Zbl0453.35085MR607212
- CIARLET, P.G. (1971) - Fonction de Green discrètes et principe du maximum discret, Thesis Univ. Paris VI.
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- CORTEY DUMONT, PH. - On finite element approximation in the -norm of parabolic obstacle variational inequalities and quasi-variational inequalities, preprint. Zbl0574.65064
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- GLOWINSKI, R., LIONS, J.L. and TREMOLIERES, R. (1981) - Numerical Analysis of Variational Inequalities, North-Holland, Amsterdam. Zbl0463.65046MR635927
- R.H. NOCHETTO - A note on the approximation of free boundaries by finite element methods, to appear in (ex «R.A.I.R.O. Anal. Numér.»). Zbl0596.65092MR852686
- PIETRA, P. and VERDI, C. - Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem, to appear in «Comp. Mech.». Zbl0622.65126
- FETTER, A. - -error estimate for an approximation of a parabolic variational inequality, preprint. Zbl0617.65064MR880335DOI10.1007/BF01408576
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