Asymptotic decomposition of a singular perturbation problem with unbounded energy

Comptes Rendus - Mecanique

Volumn 330, Issue 7, 2002, Pages 507-512

  Fontvieille, Franck ^a   Panasenko, Gregory P ^b   Pousin, Jérôme ^a  

^a UNIVERSITÉ LYON 1   (France)

^b UNIVERSITÉ JEAN MONNET   (France)

Author keywords

Asymptotic decomposition; Computational solid mechanics; Error estimates; Finite element; Singular perturbation

Indexed keywords

FINITE ELEMENT ANALYSIS;

ARTICLE; ENERGY TRANSFER; ERROR; FINITE ELEMENT ANALYSIS; MECHANICS; PREDICTION; SOLID;

EID: 0036663058     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0721(02)01488-2     Document Type: Article

References (5)

1. G.P. Panasenko, Method of asymptotic partial decomposition of rod structures, Math. Models Methods Appl. Sci. 8 (1) (1998) 139-156.
2. G.P. Panasenko, Asymptotic partial decomposition of variational problem, C. R. Acad. Sci. Paris, Série IIb 327 (1999) 1185-1190.
3. D. Leguillon, J. Sanchez-Hubert, É. Sanchez-Palencia, Model problem of singular perturbation without limit in the space of finite energy and its computation, C. R. Acad. Sci. Paris, Série IIb 326 (1999) 609-614.
4. J. Sanchez-Hubert, É. Sanchez-Palencia, Singular perturbations with non-smooth limit and finite element approximation of layers for model problems for shells, in: F. Ali Mehmeti, J. von Below, S. Nicaise (Eds.), Partial Differential Equations on Multistructures, Dekker, New York, 2000, pp. 207-226.
5. G.P. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1977.