Exploració per tema "Galerkin methods"

Ara es mostren els items 10-29 de 38

    • Development of numerical tools for modelling electrical streamers 

      Candela Rubio, Héctor (Universitat Politècnica de Catalunya, 2023-07-12)
      Projecte Final de Màster Oficial
      Accés obert
      The electric discharges that precede the leader, such as streamer discharges and corona discharges, have garnered significant interest within the scientific community due to their wide range of applications. Whether in the ...

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

      Badia, Santiago; Bonilla de Toro, Jesús; Hierro Fabregat, Alba (2017-06)
      Article
      Accés obert
      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 ...

    • Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity 

      Giacomini, Matteo; Sevilla Cárdenas, Rubén (Springer, 2019)
      Article
      Accés obert
      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 ...

    • Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations 

      Villardi de Montlaur, Adeline de; Fernández Méndez, Sonia; Huerta, Antonio (2008-07)
      Article
      Accés obert
      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 ...

    • Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity 

      Badia, Santiago; Codina, Ramon; Gudi, Thirupathi; Guzmán, Johnny (2012)
      Report de recerca
      Accés obert
      In this article, we analyze several discontinuous Galerkin methods (DG) for the Stokes problem under the minimal regularity on the solution. We assume that the velocity u belongs to [H1 0 (­)]d and the pressure p 2 L2 0 ...

    • Goal oriented error estimation for the element free Galerkin method 

      Vidal Seguí, Yolanda; Huerta, Antonio (2007-06)
      Article
      Accés obert
      A novel approach for implicit residual-type error estimation in meshfree methods is presented. This allows to compute upper and lower bounds of the error in energy norm with the ultimate goal of obtaining bounds for outputs ...

    • Goal-oriented error estimation for transient parabolic problems 

      Díez, Pedro; Calderón, Giovanni (2007-04)
      Article
      Accés obert
      This work focuses on controlling the error and adapting the discretization in the context of parabolic problems. In order to obtain a sound mathematical framework, the time domain is discretized using a Discontinuous ...

    • GPU-accelerated sparse matrix-vector product for a hybridizable discontinuous Galerkin method 

      Roca Navarro, Francisco Javier; Nguyeny, N.C.; Peraire Guitart, Jaume (2011)
      Text en actes de congrés
      Accés restringit per política de l'editorial
      The iterative solution of the large systems of equations that result from discontinuous Galerkin (DG) discretizations require the ability to carry out fast matrix-vector products. DG matrices have a sparse block structure ...

    • High-order continuous and discontinuous Galerkin methods for wave problems 

      Giorgiani, Giorgio; Modesto Galende, David; Fernández Méndez, Sonia; Huerta, Antonio (2013-12-10)
      Article
      Accés restringit per política de l'editorial
      hree Galerkin methods—continuous Galerkin, Compact Discontinuous Galerkin, and hybridizable discontinuous Galerkin—are compared in terms of performance and computational efficiency in 2-D scattering problems for low and ...

    • High-order hybridizable discontinuous Galerkin formulation for one-phase flow through porous media 

      Costa Solé, Albert; Ruiz Gironès, Eloi; Sarrate Ramos, Josep (2021-03-06)
      Article
      Accés obert
      We present a stable high-order hybridizable discontinuous Galerkin (HDG) formulation coupled with high-order diagonal implicit Runge–Kuta (DIRK) schemes to simulate slightly compressible one-phase flow through porous media. ...

    • High-order hybridizable discontinuous Galerkin formulation with fully implicit temporal schemes for the simulation of two-phase flow through porous media 

      Costa Solé, Albert; Ruiz Gironès, Eloi; Sarrate Ramos, Josep (John Wiley & Sons, 2021-07-30)
      Article
      Accés obert
      We present a memory-efficient high-order hybridizable discontinuous Galerkin (HDG) formulation coupled with high-order fully implicit Runge-Kutta schemes for immiscible and incompressible two-phase flow through porous ...

    • High-order implicit time integration for unsteady incompressible flows 

      Villardi de Montlaur, Adeline de; Fernández Méndez, Sonia; Huerta, Antonio (2011-11-30)
      Article
      Accés obert
      The spatial discretization of unsteady incompressible Navier–Stokes equations is stated as a system of differential algebraic equations, corresponding to the conservation of momentum equation plus the constraint due to ...

    • Hybridizable discontinuous Galerkin p-adaptivity for wave propagation problems 

      Giorgiani, Giorgio; Fernández Méndez, Sonia; Huerta, Antonio (2013)
      Article
      Accés obert
      A p-adaptive hybridizable discontinuous Galerkin method for the solution of wave problems is presented in a challenging engineering problem. Moreover, its performance is compared with a high-order continuous Galerkin. The ...

    • Improved accuracy in the scattering analysis of infinitely long ferromagnetic objects 

      Sekulic, Ivan; Úbeda Farré, Eduard; Rius Casals, Juan Manuel (Institute of Electrical and Electronics Engineers (IEEE), 2016)
      Text en actes de congrés
      Accés restringit per política de l'editorial
      The scattering of transversal magnetic (TM) electromagnetic waves impinging on infinitely long homogeneous ferromagnetic objects is usually analyzed with the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) integral equation. ...

    • Locking in the incompressible limit for the element-free Galerkin method 

      Huerta, Antonio; Fernández Méndez, Sonia (Wiley and Sons, 2001-04)
      Article
      Accés obert
      Volumetric locking (locking in the incompressible limit) for linear elastic isotropic materials is studied in the context of the element-free Galerkin method. The modal analysis developed here shows that the number of ...

    • Locking in the incompressible limit: pseudo-divergence-free element free Galerkin 

      Vidal Seguí, Yolanda; Villon, Pierre; Huerta, Antonio (2003-09)
      Article
      Accés obert
      Locking in finite elements has been a major concern since its early developments. It appears because poor numerical interpolation leads to an over-constrained system. This paper proposes a new formulation that asymptotically ...

    • Locking in the incompressible limit: pseudo-divergence-free element free Galerkin 

      Vidal Seguí, Yolanda; Villon, Pierre; Huerta, Antonio (2002-11)
      Article
      Accés obert
      Locking in finite elements has been a major concern since its early developments and has been extensively studied. However, locking in mesh-free methods is still an open topic. Until now the remedies proposed in the ...

    • Meshfree methods 

      Huerta, Antonio; Belytscko, T; Fernández Méndez, Sonia; Rabczuk, Timon (John Wiley & Sons, 2004-10)
      Capítol de llibre
      Accés restringit per política de l'editorial
      The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares ...

    • El método de los segmentos 

      Viamontes Esquivel, Alcides; Perez Sanchez, Ismay; Recarey Morfa, Carlos A. (Universitat Politècnica de Catalunya, 2008)
      Article
      Accés obert
      Se reporta el uso de segmentos como dominio de integración para los métodos libres de mallas de tipo Petrov-Galerkin Local (MLPG). El procedimiento acarrea ventajas en el tratamiento de dominios con forma geométrica ...

    • Un nuevo enfoque para el tratamiento de los términos difusivos en la ecuación de convección-difusión en el método de Galerkin discontinuo 

      Gómez, H; Colominas, I; Navarrina Martínez, Fermín Luis; Casteleiro Maldonado, Manuel (Universitat Politècnica de Catalunya, 2007)
      Article
      Accés obert
      Los modelos utilizados en la práctica para problemas de convección-difusión están habitualmente basados en la ley de Fick. En ciertas aplicaciones el uso de la ley de Fick lineal puede ser adecuado, a pesar de predecir ...