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math.NA2024
Unconditionally stable space-time isogeometric discretization for the wave equation in Hamiltonian formulation
Matteo Ferrari, Sara Fraschini, Gabriele Loli +1
We consider a family of conforming space-time discretizations for the wave equation based on a first-order-in-time formulation employing maximal regularity splines. In contrast wit…
math.CA2024
Some properties of a modified Hilbert transform
Matteo Ferrari
Recently, Steinbach et al. introduced a novel operator , known as the modified Hilbert transform. This operator has shown its significance in…
math.NA2024
Stability of conforming space-time isogeometric methods for the wave equation
Matteo Ferrari, Sara Fraschini
We consider a family of conforming space-time finite element discretizations for the wave equation based on splines of maximal regularity in time. Traditional techniques may requir…