The following work have been published an it is now available in the latest volume of Journal of Computational and Applied Mathematics: Volume 437, February 2024, 115465, ISSN 0377-0427.

A triangle-based positive semi-discrete Lagrangian–Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws

Eduardo Abreu, Jorge Agudelo, John Pérez.

LINK:  https://doi.org/10.1016/j.cam.2023.115465

Keywords: Hyperbolic conservation laws; Lagrangian–Eulerian method; Semi-discrete scheme on triangular grids; Weak asymptotic analysis; Kruzhkov entropy solution; Positivity principle