WORKSHOP: Participation of Graduate Students in a Workshop on PDE-Constrained Optimization, Santa Fe New Mexico, April 4-6, 2001

由偏微分方程组控制的系统的最优设计、最优控制和参数估计产生了一类称为偏微分方程组约束优化的问题。离散化的偏微分方程约束的规模和复杂性经常给当代优化方法带来巨大的挑战。算法、软件和高性能计算系统的最新进展导致了PDE模拟，它通常可以扩展到数百万个变量、数千个处理器和多个物理相互作用。随着偏微分方程求解器的成熟，人们对解决由大规模偏微分方程模拟控制的优化问题越来越感兴趣。为了解决这些问题的挑战，研究人员于2001年4月4日至6日在新墨西哥州圣达菲组织了一个关于偏微分方程约束优化的研讨会。研讨会的目标是确定工业和国家实验室中PDE约束优化的需求和机会，评估PDE约束优化的最新技术，确定现代模拟代码提出的PDE约束优化的障碍，并讨论克服这些障碍的有前途的算法和软件方法。为了让新一代研究人员接触到这一快速增长的研究领域，研究人员将使用这笔赠款来支持学生参加和参加研讨会。

Optimal design, optimal control, and parameter estimation of systems governed by partial differen-tialequations give rise to a class of problems known as PDE-constrained optimization. The size andcomplexity of the discretized PDE constraints often pose significant challenges for contemporaryoptimization methods. Recent advances in algorithms, software, and high performance computingsystems have resulted in PDE simulations that can often scale to millions of variables, thousandsof processors, and multiple physics interactions. As PDE solvers mature, there is increasing in-dustrialand scientific interest in solving optimization problems governed by such large-scale PDEsimulations.To address the challenges of these problems the investigators have organized a workshop on PDE-constrainedoptimization on April 4-6,2001, in Santa Fe, NM. The goals of the workshop are to identify the needsand opportunities for PDE-constrained optimization in industry and the national labs, to assess the state of the art in PDE-constrained optimization, to identify barriers to PDE-constrained optimization presented bymodern simulation codes, and to discuss promising algorithmic and software approaches for overcoming these barriers.Sandia National Laboratories will sponsor the workshop itself. to expose a new generation of researchers to this rapidly growing area of research, the investigators will use this grant to support students attendingand participating in the workshop.