ITR: Collaborative Research: Optimization of Systems Governed by Partial Differential Equations

该奖项解决了计算数学中的一个重要的基本问题：如何优化由偏微分方程(PDE)描述的复杂系统。重点是PDE模拟，它可以扩展到数百万个变量和数百或数千个处理器。问题的规模和求解这些偏微分方程组的技术的复杂性给现代优化方法带来了重大挑战。该项目使用一个通用框架来解决与PDE解算器交互的优化问题。

This award addresses an important fundamental problem in computational mathematics: how to optimize complex systems described by partial differential equations (PDEs). The focus is on PDE simulations that can scale into millions of variables, and hundreds or thousands of processors. The size of the problems and the complexity of the techniques for solving these PDEs pose major challenges to modern optimization methods. The project uses a general framework for solving optimization problems in interaction with PDE solvers.