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Conférence externe
Penalty-finite element approximations of slip boundary conditions
J. Urquiza and I. Dione
Département de mathématiques et de statistique, Université Laval

The penalty method is a classical and widespread method for the numerical treatment of constrained problems such as unilateral contact problems and problems with Dirichlet boundary conditions. It allows to impose these boundary conditions weakly and is an alternative approach which avoids the introduction of additional unknowns in the form of Lagrange multipliers, for instance.

In the case of slip boundary conditions for fluid flows (or solid elastic materials) on a bounded domain with a smooth curved boundary, one of the main obstacles to its efficiency and to its mathematical analysis is that a Babuska’s type paradox occurs: on a sequence of polygonal domains converging to the smooth domain, the solutions of the corresponding problems do not converge to the solution of the problem on the limit domain.

Date: 2015-04-26 à 10:00
Endroit: First Pan-American congress on computational mechanics (PANACM 2015), Buenos Aires, Argentina