Boiveau, T;
Burman, E;
(2016)
A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity.
IMA Journal of Numerical Analysis
, 36
(2)
pp. 770-795.
10.1093/imanum/drv042.
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Abstract
In this paper, we study the stability of the nonsymmetric version of the Nitsche method without penalty for compressible and incompressible elasticity. For the compressible case we prove convergence of the error in the H1- and L2-norms. In the incompressible case we use a Galerkin least squares pressure stabilization and we prove convergence in the H1-norm for the velocity and convergence of the pressure in the L2-norm.
| Type: | Article |
|---|---|
| Title: | A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/imanum/drv042 |
| Publisher version: | http://dx.doi.org/10.1093/imanum/drv042 |
| Language: | English |
| Additional information: | Copyright © The Author(s) 2016. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. |
| Keywords: | Nitsche method, compressible elasticity, incompressible elasticity, stabilized finite element methods, Korn's inequality |
| 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/1485731 |
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