8 papers
Geometry-Based Neural-Network Prediction of Electron Localization Function Topology in Dense Hydrogen
Xiaoyu Wang, Miriam Marqués, Sergio Gómez +3
We develop a machine-learning framework to predict the electron localization function (ELF) of pure, dense hydrogen directly from atomic geometry, bypassing explicit electronic-str…
A discontinuous Galerkin method with fractal elements
Sergio Gómez, David Hewett, Andrea Moiola
We formulate, analyse, and implement a discontinuous Galerkin finite element method (DG-FEM) for the approximation of the solution of an elliptic boundary value problem in a domain…
Robust H(curl)-based finite element methods for the incompressible MHD system
Lourenço Beirão da Veiga, Sergio Gómez, Ilaria Perugia +1
We propose and analyze a class of finite element methods for the time-dependent incompressible magnetohydrodynamics system based on -conforming discretizations fo…
Cycle holonomy captures higher-order compatibility constraints in remote synchronization
Lluís Torres-Hugas, Jordi Duch, Sergio Gómez +1
Higher-order interactions have typically been modeled using hypergraphs or simplicial complexes, where interactions explicitly involve more than two nodes. Here we demonstrate that…
A convex-geometric framework for fully phase-locked states in the finite Kuramoto model
Antonio Garijo, Sergio Gómez, Alex Arenas
We study the finite-size Kuramoto model of all-to-all coupled phase oscillators with heterogeneous natural frequencies and characterize the minimal coupling strength required for t…
Galerkin-type time discretizations for parabolic and hyperbolic problems: stability and a priori error analysis
Sergio Gómez
Galerkin-type time discretizations are variational time-stepping schemes in which the test and trial spaces consist of piecewise polynomials in time. This paper reviews the schemes…
On the Compact Discontinuous Galerkin method for polytopal meshes
Mattia Corti, Sergio Gómez
The Compact Discontinuous Galerkin method was introduced by Peraire and Persson in (SIAM J. Sci. Comput., 30, 1806-1824, 2008). In this work, we present the stability and convergen…
Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
Paola F. Antonietti, Mattia Corti, Sergio Gómez +1
We investigate a two-state conformational conversion system and introduce a novel structure-preserving numerical scheme that couples a local discontinuous Galerkin space discretiza…