5 papers
Interpretation of a Discrete de Rham method as a Finite Element System
Snorre H. Christiansen, Francesca Rapetti
We show that the DDR method can be interpreted as defining a computable consistent discrete product on a conforming FES defined by PDEs. Without modifying the numeri…
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra
Daniele A. Di Pietro, Jérôme Droniou, Francesca Rapetti
In this work, merging ideas from compatible discretisations and polyhedral methods, we construct novel fully discrete polynomial de Rham sequences of arbitrary degree on polygons a…
An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations
Marcella Bonazzoli, Victorita Dolean, Frédéric Hecht +1
In this paper we focus on high order finite element approximations of the electric field combined with suitable preconditioners, to solve the time-harmonic Maxwell's equations in w…
Parallel preconditioners for high order discretizations arising from full system modeling for brain microwave imaging
M. Bonazzoli, V. Dolean, F. Rapetti +1
This paper combines the use of high order finite element methods with parallel preconditioners of domain decomposition type for solving electromagnetic problems arising from brain…
Explicit implementation strategy of high order edge finite elements and Schwarz preconditioning for the time-harmonic Maxwell's equations
Marcella Bonazzoli, Victorita Dolean, Frédéric Hecht +1
In this paper we focus on high order finite element approximations of the electric field combined with suitable preconditioners, to solve the time-harmonic Maxwell's equations in w…