189 citations · 237 across the 6 of their papers we have counts for
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A Hybrid High-Order method for the convective Cahn-Hilliard problem in mixed form
Florent Chave, Daniele Di Pietro, Fabien Marche
We propose a novel Hybrid High-Order method for the Cahn-Hilliard problem with convection. The proposed method is valid in two and three space dimensions, and it supports arbitrary…
A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes
Arnaud Duran, Fabien Marche
In this paper, we introduce a discontinuous Finite Element formulation on simplicial unstructured meshes for the study of free surface flows based on the fully nonlinear and weakly…
A Hybrid High-Order method for the Cahn-Hilliard problem in mixed form
Florent Chave, Daniele A. Di Pietro, Fabien Marche +1
In this work, we develop a fully implicit Hybrid High-Order algorithm for the Cahn-Hilliard problem in mixed form. The space discretization hinges on local reconstruction operators…
A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model
Philippe Bonneton, Florent Chazel, David Lannes +2
The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more…