Burman, E;
Hansbo, P;
Larson, MG;
(2019)
A cut finite element method with boundary value correction for the incompressible Stokes equations.
In:
ENUMATH: European Conference on Numerical Mathematics and Advanced Applications.
(pp. pp. 183-192).
Springer: Voss, Norway.
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Abstract
We design a cut finite element method for the incompressible Stokes equations on domains with curved boundary. The cut finite element method allows for the domain boundary to cut through the elements of the computational mesh in a very general fashion. To further facilitate the implementation we propose to use a piecewise affine discrete domain even if the physical domain has curved boundary. Dirichlet boundary conditions are imposed using Nitsche’s method on the discrete boundary and the effect of the curved physical boundary is accounted for using the boundary value correction technique introduced for cut finite element methods in Burman et al. (Math Comput 87(310):633–657, 2018).
| Type: | Proceedings paper |
|---|---|
| Title: | A cut finite element method with boundary value correction for the incompressible Stokes equations |
| Event: | European Conference on Numerical Mathematics and Advanced Applications |
| Location: | Voss, Norway |
| Dates: | 25-29 September 2017 |
| ISBN-13: | 9783319964140 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-319-96415-7_15 |
| Publisher version: | https://doi.org/10.1007/978-3-319-96415-7_15 |
| 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/10069176 |
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