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

Burman, E; Christiansen, SH; Hansbo, P; (2020) Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics. Computer Methods in Applied Mechanics and Engineering , 369 , Article 113224. 10.1016/j.cma.2020.113224. Green open access

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Abstract

In this note we will explore some applications of the recently constructed piecewise affine, H1-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.

Type: Article
Title: Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.cma.2020.113224
Publisher version: https://doi.org/10.1016/j.cma.2020.113224
Language: English
Additional information: Copyright © 2020 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Keywords: Compatible finite elements, Incompressibility, Elasticity, Brinkman, Nitsche’s method
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10104784
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