In this study we investigate a stabilized space-time formulation for linear and non-linear elastodynamics. We use Isogeometric Analysis (IGA) in order to benefit from its numerical qualities. We focus on two points: the formulation of stabilized weak-forms in a linear and non-linear context and the interest of using continuous Galerkin schemes in space and time with higher order and higher continuity basis functions. We illustrate the numerical performance of these methods through typical impact or vibration problems commonly encountered in the field of the elastodynamics of solids.

中文翻译：

---

线性和非线性弹性动力学的时空等几何分析

在这项研究中，我们研究了线性和非线性弹性动力学的稳定时空公式。我们使用等几何分析 (IGA) 以从其数值特性中受益。我们关注两点：线性和非线性上下文中稳定弱形式的公式，以及在具有更高阶和更高连续性基函数的空间和时间中使用连续 Galerkin 方案的兴趣。我们通过固体弹性动力学领域中常见的典型冲击或振动问题来说明这些方法的数值性能。