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。通过采用一般阶数$p$的高阶B样条，我们在空间和时间上处理光滑近似。借助适当定义的$2p$阶扰动，我们设计了一种由非一致等几何公式给出的高阶无条件稳定时空等几何方法。为说明这种稳定化等几何方法的有效性，我们进行了多次数值实验。