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.

翻译：本文聚焦于线性声波方程的高阶时空等几何离散化方法。我们采用一般阶数$p$的高阶B样条，实现空间与时间方向上的光滑逼近。通过构造一个适当的$2p$阶摄动项，我们提出一种由非相容等几何格式构成的高阶无条件稳定时空等几何方法。为验证该稳定化等几何方法的有效性，我们开展了多项数值实验。