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Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics
Computer Methods in Applied Mechanics and Engineering ( IF 6.9 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.cma.2020.113224
Erik Burman , Snorre H. Christiansen , Peter Hansbo

Abstract 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, 2018). In particular we show how the element leads to locking free methods for incompressible elasticity and viscosity robust methods for the Brinkman model.

中文翻译:

最小相容单元在不可压缩和几乎不可压缩连续介质中的应用

摘要 在本笔记中,我们将探讨最近构建的分段仿射、符合 H 1 的元素的一些应用,该元素适合离散 de Rham 复合体(Christiansen 和 Hu,2018)。特别是,我们展示了单元如何导致不可压缩弹性的无锁定方法和 Brinkman 模型的粘性鲁棒方法。
更新日期:2020-09-01
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