Bonilla de Toro, Jesús (Date of defense: 2019-12-17)
This thesis covers the development of monotonicity preserving finite element methods for hyperbolic problems. In particular, scalar convection-diffusion and Euler equations are used as model problems ...
Grau Gotés, Ma. Àngela (Maria Àngela) (Date of defense: 2015-01-28)
Many of the problems in experimental sciences and other disciplines can be expressed in the form of nonlinear equations. The solution of these equations is rarely obtained in closed form. With the ...
Olm Serra, Marc (Date of defense: 2019-02-18)
The main object of study of this thesis is the development of scalable and robust solvers based on domain decomposition (DD) methods for the linear systems arising from the finite element (FE) discretization ...
Borchini, Luca (Date of defense: 2020-12-17)
Nowadays, the main computational bottleneck in computer-assisted industrial design procedures is the necessity of testing multiple parameter settings for the same problem. Material properties, boundary ...
Miraglio, Pietro (Date of defense: 2020-01-28)
My thesis deals with the study of elliptic PDE. It is divided into two parts, the first one concerning a nonlinear equation involving the p-Laplacian, and the second one focused on a nonlocal problem. In ...
García-Blanco, Raquel (Date of defense: 2017-02-09)
The Power Flow model is extensively used to predict the behavior of electric grids and results in solving a nonlinear algebraic system of equations. Modeling the grid is essential for design optimization ...
Requejo Castro, David (Date of defense: 2021-07-13)
We live in a complexand interconnected world which permeates ditterent scales. sectors or decision problems. This fact is acknowledged by the United Nations 2030 Agenda for Sustainable Development, ...
Hierro Fabregat, Alba (Date of defense: 2016-11-28)
The main object of study of this thesis is the development of artificial diffusion shock capturing techniques for continuous and discontinuous Galerkin (cG and dG) approximations of the convection-diffusion ...
Spiegel, Christoph (Date of defense: 2020-07-03)
Arithmetic Combinatorics, Combinatorial Number Theory, Structural Additive Theory and Additive Number Theory are just some of the terms used to describe the vast field that sits at the intersection of ...
Felipe Navarro, Juan Carlos (Date of defense: 2021-07-14)
The thesis is devoted to the analysis of elliptic PDEs and related problems. It is mainly focused on the study of qualitative and regularity properties of solutions to integro-differential equations. ...