Collaborative Research: SI2-SSI: Open Source Support for Massively Parallel, Generic Finite Element Methods

合作研究：SI2-SSI：对大规模并行、通用有限元方法的开源支持

• 批准号: 1741870
• 负责人: Wolfgang Bangerth
• 金额: $ 39.37万
• 依托单位: Colorado State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-03-01 至 2018-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1741870&HistoricalAwards=false
• 关键词: Collaborative; Research; SI2; SSI; Open

Partial differential equations are used in a wide variety of applications asmathematical models. Their numerical solution is, consequently, of primeimportance for the accurate simulation and optimization of processes in thesciences, engineering, and beyond.The last decade saw the emergence of large and successful libraries thatsupport such applications. While these libraries provide most of what suchcodes need for small-scale computations, many realistic applications yieldproblems of hundreds of millions or billions of unknowns and require clusterswith thousands of processor cores, but there is currently little genericsupport for such problems, limiting access to the many large publiclysupported computing facilities to experts in computational science andexcluding scientists from many fields for whom computational simulation wouldbe a useful tool. This project intends to build the software infrastructure that will allow awide cross section of scientists to utilize these large resources.This project intends to support the software infrastructure for thelarge-scale solution of partial differential equations on massively parallelcomputational resources in a generic way. It will build on two of the mostsuccessful libraries for scientific computing, the finite element librarydeal.II, and Trilinos that provides the parallel linear algebra capabilitiesfor the former. Specifically, we will: (i) Make support for massively parallelcomputations ubiquitous in deal.II; (ii) Research and develop seamless supportfor problems with billions of unknowns in both libraries and improve theinteraction between the two; (iii) Exploit intra-node parallelism on today'sclusters; (iv) Ensure the applicability of our work on a broad basis byimplementing two real-world applications. Both deal.II and Trilinos have large, active and diverse developer and usercommunities, and this project will actively engage these communities throughuser meetings, short courses, regularly taught classes, mailing lists, anddirect contact in focused projects.

部分微分方程用于多种应用模型。因此，它们的数值解决方案是对这些应用程序，工程及以后的流程进行准确的模拟和优化的黄金材料。在过去的十年中，大型且成功的库的出现就是这样。虽然这些图书馆提供了对小规模计算所需的大部分内容，但许多现实的应用产生了数亿或数十亿或数十亿个未知数的问题，并且需要与数千个处理器核心的群集相关，但目前几乎没有任何通用的问题来限制许多大型公立计算机的计算范围的计算范围的计算机，这些计算机会在计算机上进行计算的计算范围。一个有用的工具。 该项目打算构建软件基础架构，该软件基础架构将使科学家的截止横截面能够利用这些大型资源。该项目打算以通用方式支持大量平行计算资源的部分微分方程的软件基础架构。它将建立在两个用于科学计算的最成功的库，有限的元素库deal.ii和Trilinos，可为前者提供平行的线性代数功能。具体而言，我们将：（i）支持在Deal.ii中无处不在的大规模平行计算； （ii）研究和发展对两个库中数十亿个未知数的问题，并改善两者之间的交互； （iii）在当今的clus子上利用节点内的并行性； （iv）通过对两个现实世界的应用程序进行大规模确保我们的工作的适用性。 Deal.ii和Trilinos都有大型，活跃和多样化的开发人员和USERCommunities，该项目将通过使用者会议，短期课程，定期教课程，邮件列表，邮寄列表以及专注的项目中的直接联系来积极地与这些社区互动。