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

03/13/2023

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by   Sara Fraschini, et al.

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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.