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20242026
most citedSUPG-stabilized time-DG finite and virtual elements for the time-dependent advection-diffusion equation

5 citations · 6 across the 9 of their papers we have counts for

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math.NA2024

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…

math.NA2024

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…

math.NA2024★ 5 cited

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…