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dc.contributor.authorGatica, Gabriel N.
dc.contributor.authorGatica, Luis F.
dc.identifier.citationInternational Journal for Numerical Methods in Engineering 68es_CL
dc.descriptionArtículo de publicación ISI
dc.description.abstractIn 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.es_CL
dc.rightsAtribucion-Nocomercial-SinDerivadas 3.0 Chile
dc.subjectmixed finite elementes_CL
dc.subjectLagrange multiplieres_CL
dc.subjecta posteriori analysises_CL
dc.subjectincompressible elasticityes_CL
dc.titleOn the a priori and a posteriori error analysis of a two-fold saddle-point approach for nonlinear incompressible elasticityes_CL

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Atribucion-Nocomercial-SinDerivadas 3.0 Chile
Except where otherwise noted, this item's license is described as Atribucion-Nocomercial-SinDerivadas 3.0 Chile