| dc.creator | Gatica, Gabriel N. | |
| dc.creator | Gatica, Luis F. | |
| dc.date | 2015-08-21T21:37:38Z | |
| dc.date | 2015-08-21T21:37:38Z | |
| dc.date | 2006 | |
| dc.identifier | International Journal for Numerical Methods in Engineering 68 | |
| dc.identifier | 0029-598 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/87 | |
| dc.description | Artículo de publicación ISI | |
| dc.description | In this paper, we reconsider the a priori and a posteriori error analysis of a new mixed finite element
method for nonlinear incompressible elasticity with mixed boundary conditions. The approach, being
based only on the fact that the resulting variational formulation becomes a two-fold saddle-point
operator equation, simplifies the analysis and improves the results provided recently in a previous
work. Thus, a well-known generalization of the classical Babuška–Brezzi theory is applied to show the
well-posedness of the continuous and discrete formulations, and to derive the corresponding a priori
error estimate. In particular, enriched PEERS subspaces are required for the solvability and stability
of the associated Galerkin scheme. In addition, we use the Ritz projection operator to obtain a new
reliable and quasi-efficient a posteriori error estimate. Finally, several numerical results illustrating the
good performance of the associated adaptive algorithm are presented. Copyright 2006 John Wiley
& Sons, Ltd. | |
| dc.language | en | |
| dc.publisher | Wiley | |
| dc.rights | Atribucion-Nocomercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.subject | mixed finite element | |
| dc.subject | Lagrange multiplier | |
| dc.subject | a posteriori analysis | |
| dc.subject | incompressible elasticity | |
| dc.title | On the a priori and a posteriori error analysis of a two-fold saddle-point approach for nonlinear incompressible elasticity | |
| dc.type | Artículos de revistas | |
