Séminaire de Thomas ELGUEDJ

This talk addresses the development of high-performance isogeometric methods for the simulation and shape optimization of complex structures, with a focus on aerospace applications. The proposed approach relies on a tight coupling between geometric modeling and analysis, enabling a unified treatment of design and simulation without remeshing. Particular emphasis is placed on complex multipatch geometries, for which non-conforming discretizations are handled through an embedded formulation combined with mortar coupling techniques. This framework ensures exact geometric compatibility while allowing for localized shape modifications. The resulting discrete problems are reformulated within a dual domain decomposition framework, leading to scalable solvers suitable for large-scale computations. These developments are illustrated on challenging structural configurations, including stiffened shells and volumetric components arising in aeronautical design. Finally, ongoing work explores ultrafast computational strategies to significantly reduce computational costs and memory footprint, thereby accelerating isogeometric simulations. This paves the way for large-scale and many-query simulations, as well as near real-time applications in design and optimization.