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math.NA2024
Comparison between a priori and a posteriori slope limiters for high-order finite volume schemes
Jonathan Palafoutas, David A. Velasco Romero, Romain Teyssier
High-order finite volume and finite element methods offer impressive accuracy and cost efficiency when solving hyperbolic conservation laws with smooth solutions. However, if the s…
math.NA2020
An arbitrary high-order Spectral Difference method for the induction equation
Maria Han Veiga, David A Velasco-Romero, Quentin Wenger +1
We study in this paper three variants of the high-order Discontinuous Galerkin (DG) method with Runge-Kutta (RK) time integration for the induction equation, analysing their abilit…