5 papers
Stability, convergence, and geometric properties of second-order-in-time space-time discretizations for linear and semilinear wave equations
Matteo Ferrari, Ilaria Perugia, Enrico Zampa
We revisit second-order-in-time space-time discretizations of the linear and semilinear wave equations by establishing precise equivalences with first-order-in-time formulations. F…
Finite element exterior calculus for time-dependent Hamiltonian partial differential equations
Ari Stern, Enrico Zampa
The success of symplectic integrators for Hamiltonian ODEs has led to a decades-long program of research seeking analogously structure-preserving numerical methods for Hamiltonian…
H(curl)-based approximation of the Stokes problem with weakly enforced no-slip boundary conditions
Wietse M. Boon, Wouter Tonnon, Enrico Zampa
In this work, we show how to impose no-slip boundary conditions for an H(curl)-based formulation for incompressible Stokes flow, which is used in structure-preserving discretizatio…
Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation
Matteo Ferrari, Ilaria Perugia, Enrico Zampa
In this paper, we present a conforming space-time discretization of the wave equation based on a first-order-in-time variational formulation with exponential weights in time. We an…
Unisolvent and minimal physical degrees of freedom for the second family of polynomial differential forms
Ludovico Bruni Bruno, Enrico Zampa
The principal aim of this work is to provide a family of unisolvent and minimal physical degrees of freedom, called weights, for Nédélec second family of finite elements. Such elem…