A hybrid high-order method for creeping flows of non-Newtonian fluids

Autor: Daniel Castanon Quiroz, Michele Botti, Daniele Antonio Di Pietro, André Harnist

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (5), pp.2045-2073. ⟨10.1051/m2an/2021051⟩

In this paper, we design and analyze a Hybrid High-Order discretization method for the steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small velocities. The proposed method has several appealing features including

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::410dc286bace41365c77b631b94ea1cb
https://doi.org/10.1051/m2an/2021051

Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems

Autor: André Harnist, Daniele Antonio Di Pietro, Jérôme Droniou

Publikováno v: Calcolo
Calcolo, Springer Verlag, 2021, 58 (19), ⟨10.1007/s10092-021-00410-z⟩

We derive novel error estimates for Hybrid High-Order (HHO) discretizations of Leray-Lions problems set in W^(1,p) with p in (1,2]. Specifically, we prove that, depending on the degeneracy of the problem, the convergence rate may vary between (k+1)(p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfbcb50866a636eb106c0d6748401390
http://arxiv.org/abs/2012.05122