Burman, E;
Hansbo, P;
(2014)
Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes' problem.
ESAIM: Mathematical Modelling and Numerical Analysis
, 48
(3)
pp. 859-874.
10.1051/m2an/2013123.
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Abstract
We extend our results on fictitious domain methods for Poisson’s problem to the case of incompressible elasticity, or Stokes’ problem. The mesh is not fitted to the domain boundary. Instead boundary conditions are imposed using a stabilized Nitsche type approach. Control of the non-physical degrees of freedom, i.e., those outside the physical domain, is obtained thanks to a ghost penalty term for both velocities and pressures. Both inf-sup stable and stabilized velocity pressure pairs are considered.
| Type: | Article |
|---|---|
| Title: | Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes' problem |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1051/m2an/2013123 |
| Publisher version: | http://dx.doi.org/10.1051/m2an/2013123 |
| Language: | English |
| Additional information: | “The original publication is available at www.esaim-m2an.org” |
| Keywords: | Finite element methods, stabilized methods, penalty methods, Stokes' problem, fictitious domain |
| 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/1470715 |
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