Computational Mathematics and Applications Seminar

Professor Boffi will talk about: 'Fictitious domain approach to FSI: theoretical results and implementation details'

In this talk I will review the main aspects of our fictitious domain - distributed Lagrange multiplier - approach to the approximation of fluid-structure interaction problems. Theoretical results include the analysis of the continuous problem in a linearized setting and the stability of the discrete scheme in space and time.

I will give details on some implementation aspects related to the treatment/integration of the coupling terms and I will propose a multigrid strategy for the solution of the discrete system.

Applications involving optimization over graphs include molecular design, graph neural network verification, neural architecture search, etc. This talk discusses formulating graph spaces using mixed-integer optimization and incorporating application-specific constraints. We discuss computational challenges with these mixed-integer optimization formulations and zoom in on the practical implications for these applications. We mention what has been done (by both ourselves and others) and what other research still needs to be done.

Co-authors: Shiqiang Zhang, Yilin Xie, Christopher Hojny, Juan Campos, Jixiang Qing, Christian Feldmann, David Walz, Frederik Sandfort, Miriam Mathea, Calvin Tsay

This talk is hosted by Rutherford Appleton Laboratory, Harwell Campus

TBA

TBA