| dc.creator | Barrios Faúndez, Tomás | |
| dc.creator | Gatica, Gabriel N. | |
| dc.creator | Gatica, Luis F. | |
| dc.date | 2015-07-07T16:00:15Z | |
| dc.date | 2015-07-07T16:00:15Z | |
| dc.date | 2004 | |
| dc.identifier | Applied Numerical Mathematics 48 | |
| dc.identifier | 0168-9274 | |
| dc.identifier | http://repositoriodigital.ucsc.cl/handle/25022009/58 | |
| dc.description | Artículo de publicación ISI | |
| dc.description | We apply a mixed finite element method to solve a nonlinear second order elliptic equation in divergence form
with mixed boundary conditions. Our approach introduces the trace of the solution on the Neumann boundary as
a further unknown that acts also as a Lagrange multiplier. We show that the resulting variational formulation and
an associated discrete scheme defined with Raviart–Thomas spaces are well posed, and derive the usual a priori
estimates and the corresponding rate of convergence. In addition, we develop a Bank–Weiser type a posteriori
error analysis and provide an implicit reliable and quasi-efficient estimate, and a fully explicit reliable one. Several
numerical results illustrate the suitability of the explicit a posteriori estimate for the adaptive computation of the
discrete solutions. | |
| dc.language | en | |
| dc.publisher | Elsevier | |
| dc.rights | Atribucion-Nocomercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.source | http://goo.gl/S88SpR | |
| dc.subject | Mixed boundary conditions | |
| dc.subject | Mixed finite elements | |
| dc.subject | Raviart–Thomas spaces | |
| dc.subject | Local problems | |
| dc.title | On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers | |
| dc.type | Artículos de revistas | |
