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Hybrid Methods for Friedrichs Systems with Application to Scalar and Vector Diffusion-Advection Problems
Daniele Di Pietro, Aurelio Spadotto
In this work we study arbitrary-order hybrid discretizations of Friedrichs systems. Friedrichs systems provide a framework that goes beyond the standard classification of partial d…
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 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…
A discrete de Rham discretization of interface diffusion problems with application to the Leaky Dielectric Model
Daniele A. Di Pietro, Simon Mendez, Aurelio Edoardo Spadotto
Motivated by the study of the electrodynamics of particles, we propose in this work an arbitrary-order discrete de Rham scheme for the treatment of elliptic problems with potential…