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A HYBRID HIGH-ORDER METHOD FOR LERAY–LIONS ELLIPTIC EQUATIONS ON GENERAL MESHES

Autor: DI PIETRO, DANIELE A., DRONIOU, JÉRÔME

Publikováno v: Mathematics of Computation, 2017 Sep 01. 86(307), 2159-2191.

Externí odkaz: https://www.jstor.org/stable/90010136

A polytopal method for the Brinkman problem robust in all regimes

Autor: Di Pietro, Daniele Antonio, Droniou, Jérôme

In this work we develop a discretisation method for the Brinkman problem that is uniformly well-behaved in all regimes (as identified by a local dimensionless number with the meaning of a friction coefficient) and supports general meshes as well as a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______166::806ec28c74283b554f11451793adacd5
https://hal.science/hal-03930849

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