Burman, E;
Ern, A;
(2019)
A cut cell hybrid high-order method for elliptic problems with curved boundaries.
In: Radu, F and Kumar, K and Berre, I and Pop, I and Nordbotten, J, (eds.)
Numerical Mathematics and Advanced Applications: ENUMATH 2017.
(pp. pp. 173-181).
Springer: Cham.
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Abstract
We design a Hybrid High-Order method for elliptic problems on curved domains. The method uses a cut cell technique for the representation of the curved boundary and imposes Dirichlet boundary conditions using Nitsche’s method. The physical boundary can cut through the cells in a very general fashion and the method leads to optimal error estimates in the H1-norm.
| Type: | Proceedings paper |
|---|---|
| Title: | A cut cell hybrid high-order method for elliptic problems with curved boundaries |
| Event: | European Conference on Numerical Mathematics and Advanced Applications 2017 |
| ISBN-13: | 9783319964140 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-319-96415-7_14 |
| Publisher version: | https://doi.org/10.1007/978-3-319-96415-7_14 |
| 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-pp.ucl.ac.uk/id/eprint/10068294 |
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