Modeling and Simulation Group Meeting

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PDE-constrained optimization problems

Speaker: Yunan Yang, Florian Weschung, CIMS

Location: Warren Weaver Hall 1314

Date: Thursday, October 15, 2020, 12:30 p.m.

Synopsis:

Yunan will discuss optimize-then-discretize and the discretize-then-optimize approaches for optimization problems constrained by the nonlinear Boltzmann equation. The two developed Monte Carlo methods can compute the gradient efficiently despite the seven-dimensional forward and adjoint equations. Florian will discuss shape optimization using nearly conformal mappings. He will show that the standard mesh deformation methods can be augmented in a way so that they preserve angles in a finite element mesh, enabling larger deformations while preserving mesh quality.