论文标题
将最小兼容元素应用于不可压缩且几乎不可压缩的连续性力学
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics
论文作者
论文摘要
在本说明中，我们将探索最近构建的分段仿射的某些应用，$ h^1 $ - 合格的元素，该元素适合于离散的de rham综合体[Christiansen和Hu（Christiansen and Hu，通用的有限元系统，用于平滑的微分形式和Stokes的问题。 numer。数学。 140（2018）]。特别是我们展示了元素如何导致Brinkman模型的不可压缩弹性和粘度强大方法锁定免费方法。
In this note we will explore some applications of the recently constructed piecewise affine, $H^1$-conforming element that fits in a discrete de Rham complex [Christiansen and Hu, Generalized finite element systems for smooth differential forms and Stokes' problem. Numer. Math. 140 (2018)]. In particular we show how the element leads to locking free methods for incompressible elasticity and viscosity robust methods for the Brinkman model.
