Now showing items 1-20 of 21

    • 3D nurbs-enhanced finite element method 

      Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia; Huerta, Antonio (2009-06-08T10:12:04Z)
      Conference report
      Open Access
      An improvement of the classical finite element method is proposed in [1], the NURBS-Enhanced Finite Element Method (NEFEM). It is able to exactly represent the geometry by means of the usual CAD description of the boundary ...
    • 3D NURBS-enhanced finite element method (NEFEM) 

      Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia; Huerta, Antonio (Wiley and Sons, 2011-10-14)
      Article
      Restricted access - publisher's policy
      This paper presents the extension of the recently proposed NURBS-enhanced finite element method (NEFEM) to 3D domains. NEFEM is able to exactly represent the geometry of the computational domain by means of its CAD boundary ...
    • A face-centred finite volume method for second-order elliptic problems 

      Sevilla Cárdenas, Rubén; Giacomini, Matteo; Huerta, Antonio (John Wiley & sons, 2018-08-24)
      Article
      Open Access
      This work proposes a novel finite volume paradigm, the face-centred finite volume (FCFV) method. Contrary to the popular vertex (VCFV) and cell (CCFV) centred finite volume methods, the novel FCFV defines the solution on ...
    • A locking-free face-centred finite volume (FCFV) method for linear elastostatics 

      Sevilla Cárdenas, Rubén; Giacomini, Matteo; Huerta, Antonio (2019-02-01)
      Article
      Restricted access - publisher's policy
      A face-centred finite volume (FCFV) method is proposed for linear elastostatic problems. The FCFV is a mixed hybrid formulation, featuring a system of first-order equations, that defines the unknowns on the faces (edges ...
    • A second-order face-centred finite volume method for elliptic problems 

      Vieira, Luan M.; Giacomini, Matteo; Sevilla Cárdenas, Rubén; Huerta, Antonio (2020-01-01)
      Article
      Restricted access - publisher's policy
      A second-order face-centred finite volume method (FCFV) is proposed. Contrary to the more popular cell-centred and vertex-centred finite volume (FV) techniques, the proposed method defines the solution on the faces of the ...
    • A superconvergent HDG method for stokes flow with strongly enforced symmetry of the stress tensor 

      Giacomini, Matteo; Karkoulias, Alexandros; Sevilla Cárdenas, Rubén; Huerta, Antonio (2018-12)
      Article
      Open Access
      This work proposes a superconvergent hybridizable discontinuous Galerkin (HDG) method for the approximation of the Cauchy formulation of the Stokes equation using same degree of polynomials for the primal and mixed variables. ...
    • A superconvergent hybridisable discontinuous Galerkin method for linear elasticity 

      Sevilla Cárdenas, Rubén; Giacomini, Matteo; Karkoulias, Alexandros; Huerta, Antonio (John Wiley & sons, 2018-10-12)
      Article
      Open Access
      The first superconvergent hybridisable discontinuous Galerkin method for linear elastic problems capable of using the same degree of approximation for both the primal and mixed variables is presented. The key feature of ...
    • Adaptació de l’ensenyament semipresencial dels mètodes numèrics dins del marc del sistema ects 

      Sarrate Ramos, Josep; Rodríguez Ferran, Antonio; Fernández Méndez, Sonia; Sevilla Cárdenas, Rubén; Rozados, Oriol; Díez, Pedro; Huerta, Antonio (Universitat Politècnica de Catalunya. Institut de Ciències de l'Educació, 2008-02-07)
      Conference report
      Open Access
      En l’actualitat els mètodes numèrics s’han consolidat com una disciplina horitzontal en l’àmbit de l’enginyeria civil. En aquest sentit, les assignatures bàsiques relacionades directament amb els mètodes numèrics han ...
    • Comparison of high-order curved finite elements 

      Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia; Huerta, Antonio (Wiley and Sons, 2011-02-02)
      Article
      Restricted access - publisher's policy
      Several finite element techniques used in domains with curved boundaries are discussed and compared, with particular emphasis in two issues: the exact boundary representation of the domain and the consistency of the ...
    • Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity 

      Giacomini, Matteo; Sevilla Cárdenas, Rubén (Springer, 2019)
      Article
      Open Access
      Discontinuous Galerkin (DG) discretizations with exact representation of the geometry and local polynomial degree adaptivity are revisited. Hybridization techniques are employed to reduce the computational cost of DG ...
    • HDG-NEFEM with degree adaptivity for stokes flows 

      Sevilla Cárdenas, Rubén; Huerta, Antonio (2018-02-07)
      Article
      Open Access
      The NURBS-enhanced finite element method (NEFEM) combined with a hybridisable discontinuous Galerkin (HDG) approach is presented for the first time. The proposed technique completely eliminates the uncertainty induced by ...
    • Inclusió de les tic en el portafoli de l’estudiant per a l’ensenyament dels mètodes numèrics 

      Sarrate Ramos, Josep; Rodríguez Ferran, Antonio; Fernández Méndez, Sonia; Sevilla Cárdenas, Rubén; Rozados, Oriol; Díez, Pedro; Huerta, Antonio (2009-02-12T13:49:56Z)
      Conference lecture / Conference report
      Open Access
      La finalitat d’aquest projecte ha estat la millora de la formació global dels estudiants. Concretament, mitjançant la creació d’un portafoli que contingui les diferents activitats que ha realitzat l’estudiant al llarg ...
    • NEFEM for EULER equations 

      Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia; Huerta, Antonio (2009-02-16T11:29:15Z)
      Conference report
      Open Access
      An improvement of the classical finite element method is proposed in [1], the NURBS-Enhanced Finite Element Method (NEFEM). It considers an exact representation of the geometry by means of the usual CAD description of the ...
    • Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM 

      Tsiolakis, Vasileios; Giacomini, Matteo; Sevilla Cárdenas, Rubén; Othmer, Carsten; Huerta, Antonio (2020-04)
      Article
      Restricted access - publisher's policy
      The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive ...
    • Numerical integration over 2D NURBS-shaped domains with applications to NURBS-enhanced FEM 

      Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia (2011-10-03)
      Article
      Open Access
      This paper focuses on the numerical integration of polynomial functions along non-uniform rational B-splines (NURBS) curves and over 2D NURBS-shaped domains, i.e. domains with NURBS boundaries. The integration of the ...
    • NURBS-Enhanced Finite Element Method (NEFEM) 

      Sevilla Cárdenas, Rubén (Universitat Politècnica de Catalunya, 2009-07-24)
      Doctoral thesis
      Open Access
      Aquesta tesi proposa una millora del clàssic mètode dels elements finits (finite element method, FEM) per a un tractament eficient de dominis amb contorns corbs: el denominat NURBS-enhanced finite element method (NEFEM). ...
    • NURBS-enhanced finite element method (NEFEM) 

      Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia; Huerta, Antonio (Wiley and Sons, 2008-10)
      Article
      Open Access
      An improvement to the classical finite element (FE) method is proposed. It is able to exactly represent the geometry by means of the usual CAD description of the boundary with non-uniform rational B-splines (NURBS). Here, ...
    • NURBS-Enhanced Finite Element Method (NEFEM) 

      Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia; Huerta, Antonio (2011-11)
      Article
      Open Access
      The development of NURBS-Enhanced Finite Element Method (NEFEM) is revisited. This technique allows a seamless integration of the CAD boundary representation of the domain and the finite element method (FEM). The importance ...
    • NURBS-enhanced finite element method for Euler equations 

      Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia; Huerta, Antonio (2008-07)
      Article
      Open Access
      In this work, the NURBS-enhanced finite element method (NEFEM) is combined with a discontinuous Galerkin (DG) formulation for the numerical solution of Euler equations of gas dynamics. With NEFEM, numerical fluxes along ...
    • Tutorial on Hybridizable Discontinuous Galerkin (HDG) for second-order elliptic problems 

      Sevilla Cárdenas, Rubén; Huerta, Antonio (Springuer International Publishing, 2016)
      Part of book or chapter of book
      Restricted access - publisher's policy
      The HDG is a new class of discontinuous Galerkin (DG) methods that shares favorable properties with classical mixed methods such as the well known Raviart-Thomas methods. In particular, HDG provides optimal convergence of ...