SIAM Annual Meeting, July 2024.

I present our most recent advances on our shape optimization results. Similar to that of the previous talk, except there are more details regarding the proof of Fréchet differentiability for our shape functional. A key part of the proof is included in this talk.

Scientific Computing Around Louisiana (SCALA), January 2024.

I present a brief overview of the shape optimization algorithm used for an elasticity PDE-constrained minimization problem. Some initial numerical experiments are included.

PDEs and Geometry: Numerical Aspects at ICERM, March 2024.

Similar to previoius poster, additional notes are included involved in showing the Fréchet differentiability of the shape functional.

SIAM Texas-Louisiana Sectional Meeting, November 2023.

I present our results on our shape optimization paper. We present a formulation of a PDE-constrained shape optimization problem that uses an unfitted finite element method (FEM).