372 citations · 457 across the 10 of their papers we have counts for
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math.NA2018★ 372 cited
A Hybrid High-Order method for the incompressible Navier--Stokes equations based on Temam's device
Lorenzo Botti, Daniele Di Pietro, Jérôme Droniou
In this work we propose a novel Hybrid High-Order method for the incompressible Navier--Stokes equations based on a formulation of the convective term including Temam's device for…
math.NA2018★ 46 cited
A Hybrid High-Order discretisation of the Brinkman problem robust in the Darcy and Stokes limits
Lorenzo Botti, Daniele A. Di Pietro, Jérôme Droniou
In this work, we develop and analyse a novel Hybrid High-Order discretisation of the Brinkman problem. The method hinges on hybrid discrete velocity unknowns at faces and elements…