An unconditionally stable space-time isogeometric method for the acoustic wave equation

Sara Fraschini, Gabriele Loli, Andrea Moiola, Giancarlo Sangalli

Published 2023-03-13, updated 2023-03-17Version 2

In this paper, we focus on high-order space-time isogeometric discretizations of the linear acoustic wave equation. We deal with smooth approximations in both space and time by employing high-order B-splines of general degree $p$. By exploiting a suitably defined perturbation of order $2p$, we devise a high-order unconditionally stable space-time isogeometric method given by a non-consistent isogeometric formulation. To illustrate the effectiveness of this stabilized isogeometric method, we perform several numerical experiments.