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

由偏微分方程控制的系统的最优设计、最优控制和参数估计等问题，产生了一类称为偏微分方程约束优化的问题。离散PDE约束的规模和复杂性往往对当代优化方法提出了重大挑战。算法、软件和高性能计算系统的最新进展导致了偏微分方程模拟，通常可以扩展到数百万个变量、数千个处理器和多种物理相互作用。随着偏微分方程求解器的成熟，工业界和科学界对求解由这种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- 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在工业和国家实验室中对偏微分方程约束优化的需求和机会，评估偏微分方程约束优化的最新技术水平，确定现代仿真代码对偏微分方程约束优化的障碍，并讨论克服这些障碍的有前途的算法和软件方法。桑迪亚国家实验室将赞助研讨会本身。为了使新一代的研究人员了解这一迅速发展的研究领域，研究人员将利用这笔赠款支持学生参加和参加讲习班。

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.