12 citations · 13 across the 4 of their papers we have counts for
5 papers
Symplectic QTT-FEM solution of the one-dimensional acoustic wave equation in the time domain
Sara Fraschini, Vladimir Kazeev, Ilaria Perugia
Structured Finite Element Methods (FEMs) based on low-rank approximation in the form of the so-called Quantized Tensor Train (QTT) decomposition (QTT-FEM) have been proposed and ex…
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…
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…
Stability of space-time isogeometric methods for wave propagation problems
Sara Fraschini
This thesis aims at investigating the first steps toward an unconditionally stable space-time isogeometric method, based on splines of maximal regularity, for the linear acoustic w…
An unconditionally stable space-time isogeometric method for the acoustic wave equation
Sara Fraschini, Gabriele Loli, Andrea Moiola +1
We study space--time isogeometric discretizations of the linear acoustic wave equation that use splines of arbitrary degree p, both in space and time. We propose a space--time vari…