Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics

03/24/2020

∙

by   Erik Burman, et al.

∙

0

∙

share

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.