Speaker
Details

Shawn Walker
Abstract: I will start with an introduction to shape derivatives and shape optimization. Next, I will give a general discussion on how shape optimization is done numerically and some of the issues that can arise (e.g. the classic debate between the optimize-then-discretize and discretize-then-optimize approaches).
Then, I will talk about an unfitted finite element method (FEM) for PDE-constrained shape optimization. The geometry is represented (and optimized) using a level set approach and we consider objective functionals that are defined over bulk domains. For a discrete objective functional (i.e. one defined in the unfitted FEM framework), we show that the *exact* shape derivative can be computed rather easily. In other words, one gains the benefits of both the optimize-then-discretize and discretize-then-optimize approaches.
We illustrate the method on a simple model (geometric) problem with known exact solution, as well as shape optimization of structural designs (linear elasticity).
Talk time in other timezones: AEDT 1:00 AM Fri 29 Mar, JST 11:00 PM Thu 28 Mar, CET 3:00 PM Thu 28 Mar, GMT 2:00 PM Thu 28 Mar, UTC 14:00 Thu 28 Mar, EDT 10:00 AM Thu 28 Mar, CDT 9:00 AM Thu 28 Mar, MDT 8:00 AM Thu 28 Mar, MST 7:00 AM Thu 28 Mar, PDT 7:00 AM Thu 28 Mar