Now showing items 1-20 of 44

  • 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 comparison of two formulations to blend finite elements and mesh-free methods 

    Huerta, Antonio; Fernández Méndez, Sonia; Liu, W K (2004-03)
    Article
    Open Access
    Mesh-free methods have since their early developments been blended to the finite element formulation in order to benefit from the advantages of both numerical techniques. In this paper, two recently proposed formulations ...
  • 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 ...
  • Analysis of the discontinuous Galerkin interior penalty method with solenoidal approximations for the stokes equations 

    Villardi de Montlaur, Adeline de; Fernández Méndez, Sonia (2014)
    Article
    Open Access
    The discontinuous Galerkin Interior Penalty Method with solenoidal approximations proposed in [13] for the incompressible Stokes equations is analyzed. Continuity and coercivity of the bilinear form are proved. A priori ...
  • Comparison of continuous and hybridizable discontinuous Galerkin methods in incompressible fluid flow problems 

    Fernández Méndez, Sonia (International Centre for Numerical Methods in Engineering (CIMNE), 2017)
    Conference report
    Restricted access - publisher's policy
    A comparison of the computational efficiency between Continuous Galerkin (CG) methods, with Taylor–Hood approximations, and Hybridizable Discontinuous Galerkin (HDG) methods is presented for the solution of the incompressible ...
  • Comparison of high-order continuous and hybridizable discontinuous {G}alerkin methods in incompressible fluid flow problems 

    Paipuri, Mahendra; Fernández Méndez, Sonia; Tiago, Carlos (2018-10-01)
    Article
    Open Access
    The computational efficiency and the stability of Continuous Galerkin (CG) methods, with Taylor–Hood approximations, and Hybridizable Discontinuous Galerkin (HDG) methods are compared for the solution of the incompressible ...
  • 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 ...
  • Continuous blending of SPH with finite elements 

    Fernández Méndez, Sonia; Bonet, J; Huerta, Antonio (2005-06)
    Article
    Open Access
    This paper proposes a methodology for the continuous blending of the finite element method and smooth particle hydrodynamics. The coupled approximation with finite elements and particles, and the discretization of the ...
  • Convergence of finite elements enriched with meshless methods 

    Fernández Méndez, Sonia; Díez, Pedro; Huerta, Antonio (2003-11)
    Article
    Open Access
    A combined hierarchical approximation based on finite elements and mesh-less methods is proposed and studied. Finite Elements are enriched adding hierarchical shape functions based on a particle distribution. Convergence ...
  • Coupling finite elements and particles for adaptivity: an application to consistently stabilized convection–diffusion 

    Fernández Méndez, Sonia; Huerta, Antonio (2002)
    Article
    Open Access
    A mixed approximation coupling finite elements and mesh-less methods is presented. It allows selective refinement of the finite element solution without remeshing cost. The distribution of particles can be arbitrary. ...
  • Coupling of continuous and HDG methods 

    Paipuri, Mahendra; Tiago, Carlos; Fernández Méndez, Sonia (International Centre for Numerical Methods in Engineering (CIMNE), 2018)
    Conference report
    Open Access
    A coupling strategy between hybridizable discontinuous Galerkin (HDG) and continuous Galerkin (CG) methods is proposed in the framework of second-order elliptic operators. The coupled formulation is implemented and its ...
  • Discontinuous Galerkin methods for the Navier–Stokes equations using solenoidal approximations 

    Villardi de Montlaur, Adeline de; Fernández Méndez, Sonia; Peraire Guitart, Jaume; Huerta, Antonio (2010-10-20)
    Article
    Open Access
    An interior penalty method and a compact discontinuous Galerkin method are proposed and compared for the solution of the steady incompressible Navier–Stokes equations. Both compact formulations can be easily applied using ...
  • Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations 

    Villardi de Montlaur, Adeline de; Fernández Méndez, Sonia; Huerta, Antonio (2008-07)
    Article
    Open Access
    A discontinuous Galerkin (DG) method with solenoidal approximation for the simulation of incompressible flow is proposed. It is applied to the solution of the Stokes equations. The interior penalty method is employed to ...
  • Dones i Matemàtiques 

    Gomez, G.; Fernández Méndez, Sonia; Casanellas Rius, Marta; Huguet Casades, Gemma; Garrote, Marina (2015-03-11)
    Audiovisual
    Open Access
    L'objectiu d'aquesta taula rodona és abordar la situació de les dones en el camp de les matemàtiques. Tot i que actualment l'activitat matemàtica de les dones és més gran que mai, encara són poques les dones que es dediquen ...
  • Elliptic harbor wave model with perfectly matched layer and exterior bathymetry effects 

    Modesto Galende, David; Fernández Méndez, Sonia; Huerta, Antonio (2016-09)
    Article
    Open Access
    Standard strategies for dealing with the Sommerfeld condition in elliptic mild-slope models require strong assumptions on the wave field in the region exterior to the computational domain. More precisely, constant bathymetry ...
  • Enrichissement des interpolations d'elements finis en utilisant des méthodes de particules 

    Huerta, Antonio; Fernández Méndez, Sonia; Díez, Pedro (2002-11)
    Article
    Open Access
    In the framework of meshless methods the interpolation is based on a distribution of particles : it is not necessary to define connectivities. In this methods the interpolation can be easily enriched, increasing the number ...
  • Enrichment and coupling of the finite element and meshless methods 

    Huerta, Antonio; Fernández Méndez, Sonia (Wiley and Sons, 2000-09)
    Article
    Open Access
    A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: ...
  • eXtended Hybridizable Discontinous Galerkin (X-HDG) for void problems 

    Gurkan, Ceren; Sala Lardies, Esther; Kronbichler, Martin; Fernández Méndez, Sonia (2015-07-06)
    Article
    Open Access
    A strategy for the Hybridizable Discontinous Galerkin (HDG) solution of problems with voids, inclusions or free surfaces is proposed. It is based on an eXtended Finite Element (X-FEM) philosophy with a level-set description ...
  • Extended hybridizable discontinuous galerkin with heaviside enrichment for heat bimaterial problems 

    Gurkan, Ceren; Kronbichler, Martin; Fernández Méndez, Sonia (2017-01-28)
    Article
    Open Access
    A novel strategy for the hybridizable discontinuous Galerkin (HDG) solution of heat bimaterial problems is proposed. It is based on eXtended finite element philosophy, together with a level set description of interfaces. ...