Shape and Topology Optimization: Impactful QUestions and Emerging Subjects – STOIQUES

We are currently proposing an ANR project dedicated to the investigation of modern problems in shape optimization, which is currently inspiring multiple challenges. The main objective is to federate the community of researchers interested in this field, in order to develop original methods and tools for tackling new models or considering new constraints. We intend to focus our efforts on four main themes: (1) the study of new models involving nonlinear PDEs and topological constraints on domains; (2) the development of methods for establishing quantitative geometric inequalities. (3) Taking account of uncertainties in inverse problems involving shapes. (4) Developing original numerical approaches to avoid the use of costly meshes.
The consortium has been put together in such a way as to emphasize the fundamental, applicative and numerical aspects, which are totally complementary and interconnected within this framework.