Burman, E;
Hansbo, P;
Larson, MG;
(2015)
A stabilized cut finite element method for partial differential equations on surfaces: The Laplace-Beltrami operator.
Computer Methods in Applied Mechanics and Engineering
, 285
pp. 188-207.
10.1016/j.cma.2014.10.044.
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Burman_A stabilized cut finite element method for partial differential equations on surfaces. The Laplace-Beltrami operator_AAM.pdf - Accepted Version Download (1MB) | Preview |
Abstract
We consider solving the Laplace–Beltrami problem on a smooth two dimensional surface embedded into a three dimensional space meshed with tetrahedra. The mesh does not respect the surface and thus the surface cuts through the elements. We consider a Galerkin method based on using the restrictions of continuous piecewise linears defined on the tetrahedra to the surface as trial and test functions.
| Type: | Article |
|---|---|
| Title: | A stabilized cut finite element method for partial differential equations on surfaces: The Laplace-Beltrami operator |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.cma.2014.10.044 |
| Publisher version: | https://doi.org/10.1016/j.cma.2014.10.044 |
| 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. |
| Keywords: | Laplace–Beltrami, Embedded surface, Tangential calculus |
| 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/10073822 |
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