Exploració per tema "Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems"

Ara es mostren els items 1-20 de 34

    • A boundary algebraic formulation for plane strain elastodynamic scattering 

      Poblet-Puig, Jordi; Shanin, Andrey (Society for Industrial and Applied Mathematics (SIAM), 2018)
      Article
      Accés obert
      Solving of elastodynamic problems arises in many scientific fields such as wave propagation in the ground, non-destructive testing, vibration design of buildings, or vibroacoustics in general. An integral formulation based ...

    • A C0 interior penalty method for 4th order PDE's 

      Fojo Álvarez, Daniel (Universitat Politècnica de Catalunya, 2019-07)
      Projecte Final de Màster Oficial
      Accés obert
      Fourth order Partial Differential Equations (PDE's) arise in many different physic's fields. As an example, the research group for Mathematical and Computational Modeling at UPC LaCàN is studying flexoelectricity, a very ...

    • A consistent relaxation of optimal design problems for coupling shape and topological derivatives 

      Amstutz, Samuel; Dapogny, Charles; Ferrer Ferré, Àlex (2018-09)
      Article
      Accés obert
      In this article, we introduce and analyze a general procedure for approximating a ‘black and white’ shape and topology optimization problem with a density optimization problem, allowing for the presence of ‘grayscale’ ...

    • A finite calculus formulation of the level set equation 

      Idelshon, Sergio Rodolfo; Oñate Ibáñez de Navarra, Eugenio; Ransau, S. (2003-09)
      Report de recerca
      Accés obert
      A finite calculus formulation of the level set equation is presented. Quadratic Galerkin finite elements are used for spatial discretization. A unique stabilization parameter is computed. A time stabilization parameter ...

    • A Finite Element Method Solution to the Phase-Field Model of the Stefan Problem 

      Orteu Capdevila, Max (Universitat Politècnica de Catalunya, 2021-01)
      Treball Final de Grau
      Accés obert
      The heat equation is known as one of the easiest PDEs to solve. However, when we consider the case where two different phases coexist, (i.e. the so-called Stefan problem), suddenly everything becomes much harder to solve, ...

    • A new numerical method for solving the acoustic radiation problem 

      Poblet-Puig, Jordi; Shanin, Andrey (2018-03)
      Article
      Accés obert
      A numerical method of solving the problem of acoustic wave radiation in the presence of a rigid scatterer is described. It combines the finite element method and the boundary algebraic equation one. In the proposed method, ...

    • An implicit finite-element model for 3D non-hydrostatic mesoscale ocean flows 

      Maidana, Manuel Augusto; Blasco Lorente, Jorge; Espino Infantes, Manuel (2004)
      Article
      Accés obert
      We present in this paper a pressure stabilized, finite element method for the numerical approximation of three-dimensional, non-hydrostatic mesoscale ocean flows. The model considered here incorporates surface wind ...

    • An interactive mesh generation environment for geometry-based simulations. Progress updated 

      Roca Navarro, Francisco Javier; Sarrate Ramos, Josep (2009-02-16T12:15:10Z)
      Text en actes de congrés
      Accés obert
      We presented an overview of an interactive mesh generation environment in our previous work that it is being developed in the Laboratori de Càlcul Numèric (LaCàN). We started the development of the software in order to ...

    • Approximation of the thermally coupled MHD problem using a stabilized finite element method 

      Codina, Ramon; Hernández-Silva, Noel (2009-09-28)
      Article
      Accés obert
      A numerical formulation to solve the MHD problem with thermal coupling is presented in full detail. The distinctive feature of the method is the design of the stabilization terms, which serve several purposes. First, ...

    • Automatic generation of quadrilateral structured meshes using linear programming and transfinite interpolation 

      Ruiz Gironès, Eloi; Sarrate Ramos, Josep (2009-04-30T11:25:15Z)
      Text en actes de congrés
      Accés obert
      This paper presents an implementation of a structured quadrilateral algorithm called submapping. The meshing procedure splits the geometry into patches and then meshes each patch separately preserving the mesh compatibility ...

    • Cell-based maximum entropy approximants 

      Millán, Raúl Daniel; Sukumar, N; Arroyo Balaguer, Marino (2015-02-01)
      Article
      Accés obert
      In this paper, we devise cell-based maximum-entropy (max-ent) basis functions that are used in a Galerkin method for the solution of partial differential equations. The motivation behind this work is the construction of ...

    • Error estimates for a viscosity-splitting, finite element method for the incompressible Navier-Stokes equations 

      Blasco Lorente, Jorge; Codina, Ramon (2000)
      Article
      Accés obert

    • Estudi d’alternatives per a la resolució de problemes no lineals discretitzats amb HDG 

      Deumal Abizanda, Josep (Universitat Politècnica de Catalunya, 2013-07)
      Projecte/Treball Final de Carrera
      Accés obert
      El treball Estudi d'alternatives per a la resolució de problemes no lineals discretitzats amb HDG, escrit per Josep Deumal A. tracta sobre la búsqueda i anàlisi de diferents metodologies de resolució del problema no lineal ...

    • Extended finite elements for problems with Voids 

      Li, Qian (Universitat Politècnica de Catalunya, 2013-07)
      Projecte Final de Màster Oficial
      Accés obert
      The Finite Element Method (FEM) is currently widely used for the numerical so- lution of boundary value problems de ned by Partial Di erential Equations. It has been successfully applied in many areas of applied sciences ...

    • eXtended Hybridizable Discontinous Galerkin (X-HDG) for void problems 

      Gürkan, Ceren; Sala Lardies, Esther; Kronbichler, Martin; Fernández Méndez, Sonia (2015-07-06)
      Article
      Accés obert
      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 ...

    • Generación de mallas de hexaedros en geometrías múltiplemente conexas mediante submapping 

      Ruiz Gironès, Eloi; Sarrate Ramos, Josep (2009-05-26T11:36:11Z)
      Text en actes de congrés
      Accés obert
      En este trabajo se presenta una mejora del método de submapping para ampliar su aplicabilidad. El algoritmo de submapping tiene dos limitaciones principales. La primera de ellas es que sólo se puede aplicar en geometrías ...

    • HDG para problemas de ondas : Análisis de la dispersión numérica y aplicaciones 

      Belda Ferrín, Guillem (Universitat Politècnica de Catalunya, 2014-07)
      Treball Final de Grau
      Accés obert
      En este trabajo se realiza un análisis de dispersión para los métodos Continuous Galerkin (CG) y Hybridizable Discontinuous Galerkin (HDG) al ser aplicados a la ecuación de Helmholtz en 1D. Se calcula la expresión del error ...

    • HDG-NEFEM with degree adaptivity for stokes flows 

      Sevilla Cárdenas, Rubén; Huerta, Antonio (2018-02-07)
      Article
      Accés obert
      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 ...

    • HDGlab: an open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB 

      Giacomini, Matteo; Sevilla Cárdenas, Rubén; Huerta, Antonio (2020-10-22)
      Article
      Accés obert
      This paper presents HDGlab, an open source MATLAB implementation of the hybridisable discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of both the HDG method for elliptic problems and ...

    • 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 ...