| dc.creator | Araya, Rodolfo A. | |
| dc.creator | Gatica, Gabriela N. | |
| dc.date | 2018-04-03 | |
| dc.date.accessioned | 2019-11-14T12:00:51Z | |
| dc.date.available | 2019-11-14T12:00:51Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/2629 | |
| dc.identifier | 10.22199/S07160917.1994.0002.00001 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113510 | |
| dc.description | This paper introduces a new asymptotically convergent Petrov-Galerkin method for solving the two-point boundary value problem. The procedure is based on an appropriate combination of a Dirichlet-Neumann mapping and a saddle point variational formulation of the original problem, which yields a bilinear form satisfying the usual Gårding inequality. The corresponding discrete scheme is defined in the usual manner but replacing the Dirichlet-Neumann mapping by its associated finite element approximation. The solvability of the Galerkin equations is proved,and asymptotic error estimates are provided. Further, a particular case of this new scheme can be viewed as a preconditioning technique for the discrete formulation of the saddle point problem. Finally, the matrix formulation is discussed and several numerical experiments are included. | es-ES |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | https://www.revistaproyecciones.cl/article/view/2629/2227 | |
| dc.rights | Derechos de autor 1994 Proyecciones. Journal of Mathematics | es-ES |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 13 No 2 (1994); 63-84 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 13 Núm. 2 (1994); 63-84 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Petrov-Galerkín | es-ES |
| dc.subject | Dirichlet-Neumann | es-ES |
| dc.title | A new Pretov-Galerkin scheme for the two-point boundary value problem | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
