Gabriel R. Barrenechea
Dept. of Mathematics and Statistics, University of Strathclyde, Glasgow, UK

Curing inf-sup deficiencies: two quick examples
One rather standard way of justifying stabilised finite element methods is to prove that they cure the inf-sup deficiency associated to a given pair of finite element spaces. In this talk, I will describe how this study can be made in order to derive a stabilised finite element method (in the spirit of the "minimal stabilisation approach" by F. Brezzi and M. Fortin). Then, I will present the application of this idea to two different problems. More precisely, in the first part of the talk I will present a stabilised finite element method for the Reissner-Mindlin plate problem, and in the second part I will briefly present a stabilised finite element method for a fictitious domain formulation. The work presented in this talk has been carried out in collaboration with T. Barrios (UCSC, Concepcion, Chile), F. Chouly (Besancon, France), and A. Wachtel (Strathclyde).