Approximation numérique de certaines équations paraboliques non linéaires
- Volume: 18, Issue: 3, page 237-285
- ISSN: 0764-583X
Access Full Article
topHow to cite
topBernardi, C., and Raugel, G.. "Approximation numérique de certaines équations paraboliques non linéaires." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 18.3 (1984): 237-285. <http://eudml.org/doc/193434>.
@article{Bernardi1984,
author = {Bernardi, C., Raugel, G.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Galerkin method in space; difference method in time; error estimates},
language = {fre},
number = {3},
pages = {237-285},
publisher = {Dunod},
title = {Approximation numérique de certaines équations paraboliques non linéaires},
url = {http://eudml.org/doc/193434},
volume = {18},
year = {1984},
}
TY - JOUR
AU - Bernardi, C.
AU - Raugel, G.
TI - Approximation numérique de certaines équations paraboliques non linéaires
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1984
PB - Dunod
VL - 18
IS - 3
SP - 237
EP - 285
LA - fre
KW - Galerkin method in space; difference method in time; error estimates
UR - http://eudml.org/doc/193434
ER -
References
top- [1] R. A. ADAMS, Sobolev Spaces, Academic Press, New York (1975). Zbl0314.46030MR450957
- [2] C. BERNARDI, Numerical approximation of a periodic linear parabolic problem, SIAM J. Numer. Anal. 19, 1196-1207 (1982). Zbl0493.65041MR679659
- [3] C. BERNARDI, Approximation of Hopf bifurcation, Numer. Math. 39, 15-37 (1982). Zbl0456.65034MR664534
- [4] C. BERNARDI, Optimal finite element interpolation on curved domains (à paraître). Zbl0678.65003
- [5] F. BREZZI, J. RAPPAZ, P.-A. RAVIART, Finite-dimensional approximation of non-linear problems, Part I : branches of nonsingular solutions. Numer. Math. 36, 1-25 (1980). Zbl0488.65021MR595803
- [6] F. BREZZI, J. RAPPAZ, P.-A. RAVIARTFinite-dimensional approximation of non-linear problems, Part II : limit points. Numer. Math. 37, 1-28 (1981). Zbl0525.65036MR615889
- [7] F. BREZZI, J. RAPPAZ, P.-A. RAVIART. Finite-dimensional approximation of non-linear problems, Part III : simple bifurcation points. Numer. Math. Math. 38, 1-30 (1981). Zbl0525.65037MR634749
- [8] P. G. CIARLET, The finite element method for elliptic problems, North-Holland (1978). Zbl0383.65058MR520174
- [9] P. CLEMENT, Approximation by finite element functions using local regularization, R.A.I.R.O. 9, n° 2, 77-84 (1975). Zbl0368.65008MR400739
- [10] J. DOUGLAS Jr, T. DUPONT, Galerkin methods for parabolic problems, SIAM J. Numer. Anal. 7, 575-626 (1970). Zbl0224.35048MR277126
- [11] V. GIRAULT, P.-A. RAVIART, Finite element approximation of the Navier-Stokes equations, Lecture Notes in Mathematics 749, Springer-Verlag (1979). Zbl0413.65081MR548867
- [12] V GIRAULT, P -A RAVIART, An analysis of upwind schemes for the Navier-Stokes equations, SIAM J Numer Anal 19, 312-333 (1982). Zbl0487.76036MR650053
- [13] P GRISVARD, Boundary value problems in non-smooth domains, Lecture notes University of Maryland (1980).
- [14] J L LIONS, E MAGENES, Problemes aux limites non homogenes et applications, volume I Dunod Paris (1968). Zbl0165.10801
- [15] J L LIONS, E MAGENESProblemes aux limites non homogenes et applications, volume II Dunod Paris (1968). Zbl0165.10801
- [16] R TEMAM, Navie-Stokes equations Theory and numerical analysis, North-Holland Amsterdam (1977). Zbl0383.35057
- [17] C BAIOCCHI, F BREZZI, Optimal error estimates for linear parabolic problems under minimal regularity assumptions, Calcole XX n° 2, 101 (1983). Zbl0538.65077MR746351
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.