Finite element approximation of fluid-structure interactions: a fictitious domain approach

Overview

Abstract

In this talk I report some results on the approximation of fluid-structure interaction problems using non matching grids. Our formulation originates from the Immersed Boundary Method and then moved toward the Fictitious Domain approach. The advantages of this formulation is that it avoids the difficulties related with mesh generation and it allows the treatment of fluid and solid in their natural Eulerian and Lagrangian framework.
I present the well-posedness of our formulation at the continuous level in a simplified setting. Moreover, I shall discuss various time discretizations that provide unconditionally stable schemes and some computational details.

Brief Biography

Graduated in Mathematics in 1978 at the University of Pavia-Italy
Researcher of Numerical Analysis at the University of Pavia (Italy), Faculty of Sciences, from August 1st, 1980 to September 28th, 1987.
Associate Professor of Numerical Analysis at the University of Trento (Italy), Faculty of Engineering, from September 29th, 1987 to October 31st, 1990.
Associate Professor of Numerical Analysis at the University of Pavia (Italy), Faculty of Engineering, from November 1st, 1990 to October 31st, 1996.
Professor of Numerical Analysis at the University "La Sapienza" of Rome (Italy), Faculty of Sciences, from November 1st, 1996 to October 31st, 1997.
Professor of Numerical Analysis at the University of Brescia (Italy), Faculty of Engineering, from November 1st, 1997 to now.