8 papers
A Hybrid High-Order method for the power-law Brinkman problem with robust error estimates in all regimes
Daniel Castañón Quiroz, Daniele A. Di Pietro, Jérôme Droniou +1
In this work we propose and analyze a new Hybrid High-Order method for the Brinkman problem for fluids with power-law viscosity. The proposed method supports general meshes and arb…
Key challenges and bridges among convergence analysis techniques for polytopal methods
Lourenço Beirão da Veiga, Daniele Antonio Di Pietro, Jérôme Droniou
Polytopal methods provide a flexible framework for the numerical approximation of partial differential equations on general meshes. Their convergence analysis raises specific chall…
A Reynolds- and Hartmann-semirobust hybrid method for magnetohydrodynamics
Daniele A. Di Pietro, Jerome Droniou, Vito Patierno
We propose and analyze a new method for the unsteady incompressible magnetohydrodynamics equations on convex domains with hybrid approximations of both vector-valued and scalar-val…
A low-order hybrid method for the variable-density incompressible Navier-Stokes equations
Mathias Dauphin, Daniele A. Di Pietro, Jérôme Droniou +1
In this work we introduce and analyse a new low-order method for the variable-density incompressible Navier-Stokes equations. The main novelty of the proposed method lies in the su…
A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier--Stokes equations
Lourenço Beirão da Veiga, Daniele A. Di Pietro, Jérôme Droniou +2
In this paper we propose and analyze a new Finite Element method for the solution of the two- and three-dimensional incompressible Navier--Stokes equations based on a hybrid discre…
Conforming lifting and adjoint consistency for the Discrete de Rham complex of differential forms
Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi
Discrete de Rham (DDR) methods provide non-conforming but compatible approximations of the continuous de Rham complex on general polytopal meshes. Owing to the non-conformity, seve…