Tesis de Pregrado de Esteban Henríquez
 | Carrera | Ingeniería Civil Matemática, Universidad de Concepción |
|---|---|---|
| Año de Ingreso | 2018 | |
| Año de Egreso | 2022 | |
| Título de la Tesis | An Unfitted Hybridizable Discontinuous Galerkin Method in Shape Optimization | |
Resumen de la Tesis:Resumen de la Tesis: 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. | ||
| Director(es) de Tesis | Tonatiuh Sánchez-Vizuet, Manuel Solano | |
| Fecha de Aprobación Proyecto de Tesis | 2021, Diciembre 15 | |
| Fecha de Defensa de Tesis | 2022, Diciembre 15 | |
| Seguimiento Profesional | ||
| PDF Tesis | Descargar Tesis en PDF  | |
Publicaciones Originadas de la Tesis (ISI)Esteban HENRIQUEZ, Manuel SOLANO: An unfitted HDG method for a distributed optimal control problem. Journal of Computational and Applied Mathematics, vol. 441, article: 115703, (2024). |
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