| dc.creator | Gatica, Gabriel | |
| dc.creator | Gatica, Luis | |
| dc.creator | Stephan, Ernst | |
| dc.date | 2015-12-11T20:18:51Z | |
| dc.date | 2015-12-11T20:18:51Z | |
| dc.date | 2003 | |
| dc.identifier | Mathematical methods in the applied sciences 26 | |
| dc.identifier | 1099-1476 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/793 | |
| dc.description | Artículo de publicación ISI | |
| dc.description | In this paper, we combine the usual infinite element method with a Dirichlet-to-Neumann (DtN) mapping, derived in terms of an infinite Fourier series, to study the solvability and Galerkin approximations of an exterior transmission problem arising in non-linear incompressible 2d-elasticity. We show that the variational formulation can be written in a Stokes-type mixed form with a linear constraint and a non-linear main operator. Then, we provide the uniqueness of solution for the continuous and discrete formulations, and derive a Cea-type estimate for the associated error. In particular, our error analysis considers the practical case in which the DtN mapping is approximated by the corresponding infinite Fourier series. Finally, a reliable a posteriori error estimate, well suited for adaptive computations, is also given. Copyright ?2003 John Wiley & Sons, Ltd | |
| dc.language | en | |
| dc.publisher | Wiley Online Library | |
| dc.rights | Atribucion-Nocomercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.source | https://goo.gl/r94hy0 | |
| dc.subject | Finite element method | |
| dc.subject | Dirichlet-to-Neumann mapping | |
| dc.subject | Incompressible elasticity | |
| dc.title | A FEM–DtN formulation for a non-linear exterior problem in incompressible elasticity | |
| dc.type | Artículos de revistas | |
