Por favor, use este identificador para citar o enlazar este ítem:
http://repositorio.udec.cl/jspui/handle/11594/10496
Título : | An unfitted hybridizable discontinuous galerkin method in shape optimization. |
Autor : | Solano Palma, Manuel; supervisor de grado Sánchez Vizuet, Tonatiuh; supervisor de grado Henríquez Novoa, Esteban Ignacio |
Palabras clave : | Ecuaciones Diferenciales;Métodos de Galerkin;Polinomios |
Fecha de publicación : | 2022 |
Editorial : | Universidad de Concepción. |
Resumen : | 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. |
Descripción : | Tesis para optar al título profesional de Ingeniero Civil Matemático. |
URI : | http://repositorio.udec.cl/jspui/handle/11594/10496 |
Aparece en las colecciones: | Ingeniería Matemática - Tesis Pregrado |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
Tesis Esteban Henriquez.pdf | 1,62 MB | Adobe PDF | Visualizar/Abrir |
Este ítem está sujeto a una licencia Creative Commons Licencia Creative Commons