5 papers
A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases
Paola F. Antonietti, Mattia Corti, Sergio Gómez +1
This work presents a structure-preserving, high-order, unconditionally stable numerical method for approximating the solution to the Fisher-Kolmogorov equation on polytopic meshes,…
Fully and semi-implicit robust space-time DG methods for the incompressible Navier-Stokes equations
L. Beirão da Veiga, F. Dassi, S. Gómez
We carry out a stability and convergence analysis of a fully discrete scheme for the time-dependent Navier-Stokes equations resulting from combining an -conform…
A variational approach to the analysis of the continuous space-time FEM for the wave equation
Sergio Gómez
We present a stability and convergence analysis of the space-time continuous finite element method for the Hamiltonian formulation of the wave equation. More precisely, we prove a…
Combined DG-CG finite element method for the Westervelt equation
Sergio Gómez, Vanja Nikolić
We propose and analyze a space-time finite element method for Westervelt's quasilinear model of ultrasound waves in second-order formulation. The method combines conforming finite…
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation
Sergio Gómez, Chiara Perinati, Paul Stocker
We propose and analyze a space-time Local Discontinuous Galerkin method for the approximation of the solution to parabolic problems. The method allows for very general discrete spa…