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math.NA2025
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…
math.NA2025
A matrix-based approach to the stability of a space-time isogeometric method for the linear Schrödinger equation
Matteo Ferrari, Sergio Gómez
We propose a space-time isogeometric finite element method for the linear Schrödinger equation, and establish its unconditional stability through a matrix-based analysis. Although…
math.NA2025
Intrinsic unconditional stability in space-time isogeometric approximation of the acoustic wave equation in second-order formulation
Matteo Ferrari, Ilaria Perugia
We present a novel space-time isogeometric discretization of the acoustic wave equation in second-order formulation that is intrinsically unconditionally stable. The method relies…