Advanced numerical methods for PDE constrained optimization with application to optimal design and control of a racing yacht in the America`s Cup

本项目的重点是开发、分析和实现有效的数值优化算法，以优化设计和控制美洲杯赛艇。该项目的主要目标是在重量和结构强度的约束下，优化设计船体-龙骨-小翼构型，以最大限度地减少阻力并控制水面波浪的产生。最后一个问题导致了跟踪类型问题。所考虑的优化问题涉及非常大且高度耦合的PDE约束系统。在求解过程中，重点讨论了多层优化、不等式约束的半光滑牛顿和内点策略、离散化的目标自适应、求解器的效率和并行处理。与美洲杯的联系是通过第一个申请者作为参赛的Shosholoza队的科学顾问委员会的负责人的功能来实现的。

This project focuses on the development, analysis and implementation of efficient numerical optimization algorithms for the optimal design and control of a racing yacht in the America s Cup. The main goal of this project is the optimal design of the hull-keel-winglet configuration subject to constraints on the weight and structural strength in order to minimize the drag and control the wave generation at the water surface. This last issue leads to tracking type problems. The considered optimization problems involve very large and highly coupled system of PDE constraints. For the solution process the main emphasis is given to multilevel optimization, semismooth Newton and interior point strategies for inequality constraints, goal oriented adaptivity for the discretization, efficiency of the solver, and parallel processing. The link to the America s Cup occurs through the function of the first applicant as leader of the Scientific Advisory Board of the competing Shosholoza Team.