Burman, E;
Hansbo, P;
(2012)
Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method.
Applied Numerical Mathematics
, 62
(4)
pp. 328-341.
10.1016/j.apnum.2011.01.008.
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Abstract
We extend the classical Nitsche type weak boundary conditions to a fictitious domain setting. An additional penalty term, acting on the jumps of the gradients over element faces in the interface zone, is added to ensure that the conditioning of the matrix is independent of how the boundary cuts the mesh. Optimal a priori error estimates in the H1- and L2-norms are proved as well as an upper bound on the condition number of the system matrix.
| Type: | Article |
|---|---|
| Title: | Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.apnum.2011.01.008 |
| Publisher version: | http://dx.doi.org/10.1016/j.apnum.2011.01.008 |
| Language: | English |
| Additional information: | © 2012. This manuscript version is published under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International licence (CC BY-NC-ND 4.0). This licence allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licences are available at http://creativecommons.org/licenses/by/4.0. |
| Keywords: | Interior penalty, Fictitious domain, Finite element |
| 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/1384749 |
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