Burman, E;
Delay, G;
Ern, A;
(2020)
The Unfitted HHO Method for the Stokes Problem on Curved Domains.
In:
Numerical Mathematics and Advanced Applications ENUMATH 2019.
(pp. pp. 389-397).
Springer: Cham, Switzerland.
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Abstract
We design a hybrid high-order (HHO) method to approximate the Stokes problem on curved domains using unfitted meshes. We prove inf-sup stability and a priori estimates with optimal convergence rates. Moreover, we provide numerical simulations that corroborate the theoretical convergence rates. A cell-agglomeration procedure is used to prevent the appearance of small cut cells.
| Type: | Proceedings paper |
|---|---|
| Title: | The Unfitted HHO Method for the Stokes Problem on Curved Domains |
| Event: | ENUMATH 2019 European Conference, Egmond aan Zee |
| ISBN-13: | 978-3-030-55873-4 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-030-55874-1_38 |
| Publisher version: | ttps://doi.org/10.1007/978-3-030-55874-1_38 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| 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/10129203 |
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