Artículo
Abstract:
The derivation of an a posteriori error estimator for frictionless contact problems under the hypotheses of linear elastic behaviour and infinitesimal deformation is presented. The approximated solution of this problem is obtained by using the finite element method. A penalization or augmented-Lagrangian technique is used to deal with the unilateral boundary condition over the contact boundary. An a posteriori error estimator suitable for adaptive mesh refinement in this problem is proposed, together with its mathematical justification. Up to the present time, this mathematical proof is restricted to the penalization approach. Several numerical results are reported in order to corroborate the applicability of this estimator and to compare it with other a posteriori error estimators.
Registro:
| Documento: | Artículo |
| Título: | Adaptive finite element approach for frictionless contact problems |
| Autor: | Buscaglia, G.C.; Durán, R.; Fancello, E.A.; Feijóo, R.A.; Padra, C. |
| Ciudad: | Chichester, United Kingdom |
| Filiación: | Instituto Balseiro, Centro Atómico Bariloche (CAB), 8400 Bariloche, Argentina Departamento de Matemáticas, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina Departamento de Mecânica, Universidade Federal de Santa Catarina, Brazil Laboratório Nacional de Computação Científica (LNCC/CNPq), Av. Getúlio Vargas 333, 25651-070 Petrópolis, RJ, Brazil Depto de Mecânica Computacional, LNCC/CNPq, Av. Getúlio Vargas 333, 25651-070 Petrópolis, RJ, Brazil |
| Palabras clave: | Boundary conditions; Elasticity; Error analysis; Mathematical models; Numerical methods; Adaptive analysis; Error estimator; Lagrangian technique; Finite element method |
| Año: | 2001 |
| Volumen: | 50 |
| Número: | 2 |
| Página de inicio: | 395 |
| Página de fin: | 418 |
| DOI: | http://dx.doi.org/10.1002/1097-0207(20010120)50:2<395::AID-NME30>3.0.CO;2-# |
| Título revista: | International Journal for Numerical Methods in Engineering |
| Título revista abreviado: | Int J Numer Methods Eng |
| ISSN: | 00295981 |
| CODEN: | IJNMB |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00295981_v50_n2_p395_Buscaglia |
Citas:
---------- APA ----------
Buscaglia, G.C., Durán, R., Fancello, E.A., Feijóo, R.A. & Padra, C. (2001) . Adaptive finite element approach for frictionless contact problems. International Journal for Numerical Methods in Engineering, 50(2), 395-418.http://dx.doi.org/10.1002/1097-0207(20010120)50:2<395::AID-NME30>3.0.CO;2-#
---------- CHICAGO ----------
Buscaglia, G.C., Durán, R., Fancello, E.A., Feijóo, R.A., Padra, C. "Adaptive finite element approach for frictionless contact problems" . International Journal for Numerical Methods in Engineering 50, no. 2 (2001) : 395-418.http://dx.doi.org/10.1002/1097-0207(20010120)50:2<395::AID-NME30>3.0.CO;2-#
---------- MLA ----------
Buscaglia, G.C., Durán, R., Fancello, E.A., Feijóo, R.A., Padra, C. "Adaptive finite element approach for frictionless contact problems" . International Journal for Numerical Methods in Engineering, vol. 50, no. 2, 2001, pp. 395-418.http://dx.doi.org/10.1002/1097-0207(20010120)50:2<395::AID-NME30>3.0.CO;2-#
---------- VANCOUVER ----------
Buscaglia, G.C., Durán, R., Fancello, E.A., Feijóo, R.A., Padra, C. Adaptive finite element approach for frictionless contact problems. Int J Numer Methods Eng. 2001;50(2):395-418.http://dx.doi.org/10.1002/1097-0207(20010120)50:2<395::AID-NME30>3.0.CO;2-#
