5 citations · 6 across the 9 of their papers we have counts for
9 papers · 1 filter
Pressure-robust ALE space-time DG method for the Stokes equations on moving domains
L. Beirão da Veiga, S. Gómez, K. B. Haile
We propose and analyze a space-time discontinuous Galerkin method for the incompressible Stokes equations on moving domains within the arbitrary Lagrangian-Eulerian setting. We use…
Embedded Trefftz DG method for reaction-diffusion problems on anisotropic meshes
Sergio Gómez, Chiara Perinati, Paul Stocker +1
We present and analyze an embedded Trefftz discontinuous Galerkin method for reaction-diffusion problems on anisotropic meshes. The method is constructed by imposing a relaxed loca…
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…
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…
SUPG-stabilized time-DG finite and virtual elements for the time-dependent advection-diffusion equation
Lourenço Beirão Da Veiga, Franco Dassi, Sergio Gómez
We carry out a stability and convergence analysis for the fully discrete scheme obtained by combining a finite or virtual element spatial discretization with the upwind-discontinuo…