Masterclass in Numerical Analysis and Scientific Computing
Abstract
We review a numerical scheme based on a fictitious domain approach for the modeling and the approximation of the interaction of fluids and solids.
A crucial aspect consists in the choice of the finite element spaces that need to satisfy a suitable compatibility condition. In this talk we discuss the theoretical aspects and we highlight some implementation details.
Brief Biography
Daniele Boffi is a professor of applied mathematics at the King Abdullah University of Science and Technology (KAUST) in Saudi Arabia.
Before joining KAUST he was a professor of numerical analysis at the University of Pavia in Italy.
His research is devoted to the numerical approximation of partial differential equations, with a particular interest in the finite element method and in mixed finite elements. Some of his most active research areas concern the approximation of
eigenvalue problems arising from partial differential equations and the numerical modeling of fluid-structure interaction problems.
Professor Boffi is the coauthor of one of the most widely used books on mixed finite elements and he is the author of a highly cited survey on the approximation of eigenvalue problems. During his academic career at the University of Pavia, he has been involved in several administrative duties, including being a member of the Academic Senate, and Director of the Ph.D. Higher Education School, and member of the Evaluation Committee.