Numerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation

Hedwig Keller, Sören Bartels, Gerd Wachsmuth

We are interested in the optimization of convex domains under a PDE constraint. Due to the difficulties of approximating convex domains in ${\mathbb{R}}^3$, the restriction to rotati…