A Hybrid High-Order method for the convective Cahn–Hilliard problem in mixed form

Abstract : 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 approximation orders on general meshes containing polyhedral elements and nonmatching interfaces. An extensive numerical validation is presented, which shows robustness with respect to the Péclet number.
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Florent Chave, Daniele Di Pietro, Fabien Marche. A Hybrid High-Order method for the convective Cahn–Hilliard problem in mixed form. Cancès Clément; Omnes Pascal. Finite Volumes for Complex Applications VIII, 200, Springer, pp.517-525, 2017, Springer Proceedings in Mathematics & Statistics, 978-3-319-57393-9. ⟨10.1007/978-3-319-57394-6_54⟩. ⟨hal-01477247v2⟩

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