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A triangle-based positive semi-discrete Lagrangian–Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws
High‐order curvilinear Lagrangian finite element methods for shallow water hydrodynamics
Jiexing Zhang, Ruoyu Han and Guoxi Ni International Journal for Numerical Methods in Fluids 95(12) 1846 (2023) https://doi.org/10.1002/fld.5228
Benchmarking a new 2.5D shallow water model for lava flows
Elisa Biagioli, Mattia de' Michieli Vitturi, Fabio Di Benedetto and Margherita Polacci Journal of Volcanology and Geothermal Research 444 107935 (2023) https://doi.org/10.1016/j.jvolgeores.2023.107935
A geometrically intrinsic lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data
Computing the cut locus of a Riemannian manifoldviaoptimal transport
Enrico Facca, Luca Berti, Francesco Fassò and Mario Putti ESAIM: Mathematical Modelling and Numerical Analysis 56(6) 1939 (2022) https://doi.org/10.1051/m2an/2022059
Intrinsic finite element method for advection-diffusion-reaction equations on surfaces