Browsing by Author "Hierro Fabregat, Alba"
Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes Badia, Santiago; Bonilla de Toro, Jesús; Hierro Fabregat, Alba (2017-06)
Open AccessThis work is devoted to the design of interior penalty discontinuous Galerkin (dG) schemes that preserve maximum principles at the discrete level for the steady transport and convection–diffusion problems and the respective ...
Hierro Fabregat, Alba (Universitat Politècnica de Catalunya, 2012-11)
Open AccessIn this work we analyse and develop shock capturing (SC) techniques to improve the behaviour of one dimensional Finite Element methods for nonsmooth solutions. After investigating the state-of-the-art of the current SC ...
Hierro Fabregat, Alba (Universitat Politècnica de Catalunya, 2016-11-28)
Open AccessThe 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 problem. Special ...
Badia, Santiago; Hierro Fabregat, Alba (2015-04)
Open AccessThe aim of this work is to propose a monotonicity-preserving method for discontinuous Galerkin (dG) approximations of convection–diffusion problems. To do so, a novel definition of discrete maximum principle (DMP) is ...
Hierro Fabregat, Alba; Badia, Santiago; Kus, Pavel (2016-09)
Open AccessThe aim of this work is to propose an hp-adaptive algorithm for discontinuous Galerkin methods that is capable to detect the discontinuities and sharp layers and avoid the spurious oscillation of the solution around them. ...