An unfitted hybridizable discontinuous galerkin method in shape optimization.
| dc.contributor.advisor | Solano Palma, Manuel | es |
| dc.contributor.advisor | Sánchez Vizuet, Tonatiuh | es |
| dc.contributor.author | Henríquez Novoa, Esteban Ignacio | es |
| dc.date.accessioned | 2022-12-21T09:02:09Z | |
| dc.date.accessioned | 2024-05-15T16:07:54Z | |
| dc.date.accessioned | 2024-08-28T22:28:44Z | |
| dc.date.available | 2022-12-21T09:02:09Z | |
| dc.date.available | 2024-05-15T16:07:54Z | |
| dc.date.available | 2024-08-28T22:28:44Z | |
| dc.date.issued | 2022 | |
| dc.description | Tesis presentada para optar al título de Ingeniero Civil Matemático. | es |
| dc.description.abstract | Shape optimization seeks to optimize the shape of a region where certain partial differential equation is posed such that a functional of its solution is minimized/maximized. In this thesis we give an introduction to shape optimization through a model problem, introducing the concepts of shape derivative for a function and perturbation of the shape for a functional, we deduce the optimality conditions for the problem, and then we will present a numerical method to seek the solution via a hybridizable discontinuous Galerkin methods on curved domains. Subsequently, we develop a rigorous treatment to analyze the well-posedness of the problems that arise from the optimality conditions, and provide an a priori error analysis for each scheme. | en |
| dc.description.campus | Concepción | es |
| dc.description.departamento | Departamento de Ingeniería Matemática | es |
| dc.description.facultad | Facultad de Ciencias Físicas y Matemáticas | es |
| dc.identifier.uri | https://repositorio.udec.cl/handle/11594/10496 | |
| dc.language.iso | en | en |
| dc.publisher | Universidad de Concepción | es |
| dc.rights | CC BY-NC-ND 4.0 DEED Attribution-NonCommercial-NoDerivs 4.0 International | en |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Ecuaciones Diferenciales | es |
| dc.subject | Métodos de Galerkin | es |
| dc.subject | Polinomios | es |
| dc.title | An unfitted hybridizable discontinuous galerkin method in shape optimization. | en |
| dc.type | Tesis | es |