Burman, E;
Delay, G;
Ern, A;
(2021)
An unfitted hybrid high-order method for the stokes interface problem.
IMA Journal of Numerical Analysis
, 41
(4)
pp. 2362-2387.
10.1093/imanum/draa059.
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Abstract
We design and analyze a hybrid high-order method on unfitted meshes to approximate the Stokes interface problem. The interface can cut through the mesh cells in a very general fashion. A cell-agglomeration procedure prevents the appearance of small cut cells. Our main results are inf-sup stability and a priori error estimates with optimal convergence rates in the energy norm. Numerical simulations corroborate these results.
| Type: | Article |
|---|---|
| Title: | An unfitted hybrid high-order method for the stokes interface problem |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/imanum/draa059 |
| Publisher version: | https://doi.org/10.1093/imanum/draa059 |
| 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/10140734 |
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