Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628534 | Applied Mathematics and Computation | 2013 | 12 Pages |
Abstract
We consider finite element approximations of the Lamé system of elasticity with ideal contact boundary conditions imposed with the penalty method. For a polygonal or polyhedral boundary, we prove convergence estimates in terms of both the penalty and discretization parameters. In the case of a smooth curved boundary we show through a numerical two-dimensional example that convergence may not hold, due to a Babuska’s type paradox. We also propose and test numerically several remedies.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ibrahima Dione, José.M. Urquiza,