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.
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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 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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