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- Title
A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity.
- Authors
BOIVEAU, THOMAS; BURMAN, ERIK
- 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.
- Subjects
BOUNDARY value problems; ELASTICITY; STOCHASTIC convergence; GALERKIN methods; LEAST squares
- Publication
IMA Journal of Numerical Analysis, 2016, Vol 36, Issue 2, p770
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/drv042