This paper is a research article for finding the optimal control of smart power substations for
improving the network parameters and reliability. The included papers are the most …

Recent progress in PDE constrained optimization on shape manifolds is based on the
Hadamard form of shape derivatives, ie, in the form of integrals at the boundary of the shape …

We compare surface metrics for shape optimization problems with constraints, consisting
mainly of partial differential equations (PDE), from a computational point of view. In …

This paper presents an educational code written using FEniCS, based on the level set
method, to perform compliance minimization in structural optimization. We use the concept …

In this paper, we present a framework for automated shape differentiation in the finite
element software NGSolve. Our approach combines the mathematical Lagrangian approach …

We study distributed and boundary integral expressions of Eulerian and Fréchet shape
derivatives for several classes of nonsmooth domains such as open sets, Lipschitz domains …

In this article we consider shape optimization problems as optimal control problems via the
method of map**s. Instead of optimizing over a set of admissible shapes, a reference …

Density-based topology optimization (TO) methodologies in magnetostatics interpolate
either the magnetic permeability or the magnetic reluctivity to define intermediate materials …

In this article, we propose a shape optimization algorithm which is able to handle large
deformations while maintaining a high level of mesh quality. Based on the method of …

This research gauges the capabilities of deep reinforcement learning (DRL) techniques for
direct optimal shape design in computational fluid dynamics (CFD) systems. It uses policy …