Dual finite element analysis for an inequality of the 2nd order
Aplikace matematiky (1979)
- Volume: 24, Issue: 2, page 118-132
- ISSN: 0862-7940
Access Full Article
topAbstract
topHow to cite
topHaslinger, Jaroslav. "Dual finite element analysis for an inequality of the 2nd order." Aplikace matematiky 24.2 (1979): 118-132. <http://eudml.org/doc/15087>.
@article{Haslinger1979,
abstract = {The dual variational formulation of some free boundary value problem is given and its approximation by finite element method is studied, using piecewise linear elements with non-positive divergence.},
author = {Haslinger, Jaroslav},
journal = {Aplikace matematiky},
keywords = {dual variational formulation; free boundary value problem; finite element method; elliptic inequality; rate of convergence; Ritz approximations; dual variational formulation; free boundary value problem; finite element method; elliptic inequality; rate of convergence; Ritz approximations},
language = {eng},
number = {2},
pages = {118-132},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dual finite element analysis for an inequality of the 2nd order},
url = {http://eudml.org/doc/15087},
volume = {24},
year = {1979},
}
TY - JOUR
AU - Haslinger, Jaroslav
TI - Dual finite element analysis for an inequality of the 2nd order
JO - Aplikace matematiky
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 2
SP - 118
EP - 132
AB - The dual variational formulation of some free boundary value problem is given and its approximation by finite element method is studied, using piecewise linear elements with non-positive divergence.
LA - eng
KW - dual variational formulation; free boundary value problem; finite element method; elliptic inequality; rate of convergence; Ritz approximations; dual variational formulation; free boundary value problem; finite element method; elliptic inequality; rate of convergence; Ritz approximations
UR - http://eudml.org/doc/15087
ER -
References
top- I. Babuška, Approximation by hill-functions II, Institute for fluid Dynamics and Applied mathematics. Technical note BN-708. MR0305550
- F. Brezzi W. W. Hager P. A. Raviart, Error estimates for the finite element solution of variational inequalities. Part I: Primal Theory, (preprint). MR0448949
- J. Haslinger I. Hlaváček, Convergence of finite element method based on the dual variational formulation, Apl. Mat. 21 1976, 43 - 65. (1976) MR0398126
- J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
- J. Haslinger, Finite element analysis for unilateral problems with obstacles on the boundary, Apl. Mat. 22 1977, 180-189. (1977) Zbl0434.65083MR0440956
- J. Haslinger, A note on a dual finite element method, CMUC 17, 4 1976, 665 - 673. (1976) Zbl0361.65095MR0431750
- P. G. Ciarlet P. A. Raviart, General Lagrange and Herniite interpolation in with applications to finite element methods, Arch. Rational Mech. Anal. 46 1972, 217-249. (1972) MR0336957
- J. Cea, Optimisation, théorie et algorithmes, Dunod, Paris 1971. (1971) Zbl0211.17402MR0298892
- G. Strang, 10.1007/BF01395933, Numer. Math. 19, 81 - 98. MR0305547DOI10.1007/BF01395933
- J. L. Lions, Quelques Méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris. Zbl0248.35001
- P. A. Raviart, Hybrid finite element methods for solving 2nd order elliptic equations, Conference on Numer. Analysis, Dublin, 1974. (1974)
- I. Hlaváček, Dual finite element analysis for unilateral boundary value problems, Apl. Mat. 22 1977, 14-51. (1977) MR0426453
- I. Hlaváček, Dual finite element analysis for elliptic problems with obstacles on the boundary, I, Ap. Mat. 22 (1977), 244-255. (1977) MR0440958
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.