• Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes 

    Badia, Santiago; Bonilla de Toro, Jesús; Hierro Fabregat, Alba (2017-06)
    Accés restringit per política de l'editorial
    This 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 ...
  • Finite element solvers for hyperbolic problems 

    Hierro Fabregat, Alba (Universitat Politècnica de Catalunya, 2012-11)
    Projecte Final de Màster Oficial
    Accés obert
    In 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 ...
  • Monotonicity preserving shock capturing techniques for finite elements 

    Hierro Fabregat, Alba (Universitat Politècnica de Catalunya, 2016-11-28)
    Accés obert
    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 problem. Special ...
  • On discrete maximum principles for discontinuous Galerkin methods 

    Badia, Santiago; Hierro Fabregat, Alba (2015-04)
    Accés obert
    The 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 ...
  • Shock capturing techniques for hp-adaptive finite elements 

    Hierro Fabregat, Alba; Badia, Santiago; Kus, Pavel (2016-09)
    Accés obert
    The 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. ...