5 citations · 6 across the 9 of their papers we have counts for
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A note on the compactness properties of discontinuous Galerkin time discretizations
Sergio Gómez
This work extends the discrete compactness results of Walkington (SIAM J. Numer. Anal., 47(6):4680--4710, 2010) for high-order discontinuous Galerkin time discretizations of parabo…
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…