Now showing items 1-9 of 9

    • Bisecting with optimal similarity bound on 3D unstructured conformal meshes 

      Belda Ferrín, Guillem; Ruiz Gironès, Eloi; Roca Navarro, Francisco Javier (2022)
      Conference report
      Open Access
      We propose a new method to mark for bisection the edges of an arbitrary 3D unstructured conformal mesh. For these meshes, the approach conformingly marks all the tetrahedra with coplanar edge marks. To this end, the method ...
    • Conformal marked bisection for local refinement of n-dimensional unstructured simplicial meshes 

      Belda Ferrín, Guillem; Ruiz Gironés, Eloi; Gargallo Peiró, Abel; Roca, Xevi (Elsevier, 2022)
      Article
      Restricted access - publisher's policy
      We present an n-dimensional marked bisection method for unstructured conformal meshes. We devise the method for local refinement in adaptive n-dimensional applications. To this end, we propose a mesh marking pre-process ...
    • Conformal marked bisection for local refinement of n-dimensional unstructured conformal meshes 

      Belda Ferrín, Guillem; Ruiz Gironès, Eloi; Roca Navarro, Francisco Javier; Gargallo Peiró, Abel (Elsevier, 2023-01-01)
      Article
      Open Access
      We present an n-dimensional marked bisection method for unstructured conformal meshes. We devise the method for local refinement in adaptive n-dimensional applications. To this end, we propose a mesh marking pre-process ...
    • Conformal n-dimensional bisection for local refinement of unstructured simplicial meshes 

      Belda Ferrín, Guillem (Universitat Politècnica de Catalunya, 2022-10-28)
      Doctoral thesis
      Open Access
      [English] In n-dimensional adaptive applications, conformal simplicial meshes must be lo cally modified. One systematic local modification is to bisect the prescribed simplices while surrounding simplices are bisected ...
    • Control of robotic systems using differential flatness 

      Belda Ferrín, Guillem (Universitat Politècnica de Catalunya, 2015-07)
      Master thesis
      Open Access
      In this work, a coordinate change of state variables is performed for drift-less systems of dimension m+2 with 2 inputs using Goursat Normal Form. Then, we define a feedback law that will allow us to convert the original ...
    • Estimating the Number of Similarity Classes for Marked Bisection in General Dimensions 

      Belda Ferrín, Guillem; Ruiz-Gironés, Eloi; Roca, Xevi (Springer, 2024)
      Conference lecture
      Restricted access - publisher's policy
      To measure the stability of a marked bisection method, we estimate in general dimensions an upper bound of the number of generated similarity classes. Moreover, to understand the cyclic similarity structure, we estimate ...
    • HDG para problemas de ondas : Análisis de la dispersión numérica y aplicaciones 

      Belda Ferrín, Guillem (Universitat Politècnica de Catalunya, 2014-07)
      Bachelor thesis
      Open Access
      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 ...
    • Local bisection for conformal refinement of unstructured 4D simplicial meshes 

      Belda Ferrín, Guillem; Gargallo Peiró, Abel; Roca Navarro, Francisco Javier (Springer, 2018)
      Conference report
      Open Access
      We present a conformal bisection procedure for local refinement of 4D unstructured simplicial meshes with bounded minimum shape quality. Specifically, we propose a recursive refine to conformity procedure in two stages, ...
    • Visualization of pentatopic meshes 

      Belda Ferrín, Guillem; Ruiz-Gironés, Eloi; Roca, Xevi (Barcelona Supercomputing Center, 2020-05)
      Conference report
      Open Access
      We propose a simple tool to visualize 4D unstructured pentatopic meshes. The method slices unstructured 4D pentatopic meshes (fields) with an arbitrary 3D hyperplane and obtains a conformal 3D unstructured tetrahedral ...