Browsing by Author "Belda Ferrín, Guillem"
Now showing items 1-9 of 9
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Bisecting with optimal similarity bound on 3D unstructured conformal meshes
(2022)
Conference report
Open AccessWe 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
(Elsevier, 2022)
Article
Open AccessWe 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
(Elsevier, 2023-01-01)
Article
Open AccessWe 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
(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
(Universitat Politècnica de Catalunya, 2015-07)
Master thesis
Open AccessIn 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
(Springer, 2024)
Conference lecture
Open AccessTo 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
(Universitat Politècnica de Catalunya, 2014-07)
Bachelor thesis
Open AccessEn 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
(Springer, 2018)
Conference report
Open AccessWe 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
(Barcelona Supercomputing Center, 2020-05)
Conference report
Open AccessWe 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 ...
