4 papers · 1 filter
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…
A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization
Carlo Lovadina, Ilaria Perugia, Manuel Trezzi
We study a nonconforming virtual element method (VEM) for advection-diffusion-reaction problems with continuous interior penalty (CIP) stabilization. The design of the method is ba…
FEM-BEM coupling for the high-frequency Helmholtz problem
Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
We present a wavenumber-explicit analysis of FEM-BEM coupling methods for time-harmonic Helmholtz problems proposed in arXiv:2004.03523 for conforming discretizations and in arXiv:…