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发布时间:2017-04-26 09:42:00 访问次数: 字号:
报告题目:Nonlinear Preconditioning and its Application in Multicomponent Problems

报告人:刘璐璐 博士后 瑞士卢加诺大学

报告时间: 2017年4月27日(周四)16:00-17:00

报告地点:行健楼学术活动室526
邀请人:陈金如  教授

摘要:
 

The multiplicative Schwarz preconditioned inexact Newton (MSPIN) algorithm ispresented as a complement to additive Schwarz preconditioned inexact Newton (ASPIN). At an algebraic level, ASPIN and MSPIN are variants of the same strategy to improve the convergence of systems with unbalanced nonlinearities; however, they have natural complementarity in practice.MSPIN is naturally based on partitioning of degrees of freedom in a nonlinear PDE system by field type rather than by subdomain, where a modest factor of concurrency can be sacrificed for physically motivated convergence robustness. ASPIN, originally introduced for decompositions into subdomains, is natural for high concurrency and reduction of global synchronization. We considerboth types of inexact Newton algorithms in the field-split context, and we augment the classical convergence theory of ASPIN for the multiplicative case. Numerical experiments show that MSPIN can be significantly more robust than Newton methods based on global linearizations, and that MSPIN can be more robust than ASPIN and maintain fast convergence even for challenging problems,such as high Reynolds number Navier–Stokes equations.

 

个人简介:

Lulu Liu is  a member of  AMS, SIAM and ACM. She has worked on the parallel solver for  the Poisson-Boltzmann equation, nonlinear preconditioning and its applications to reservoir modeling, the natural convection problem, the  lid-driven cavity problem, and  presented at conferences and published in each of these areas. She has done a research internship at Argonne National Laboratory and volunteered at the Supercomputing Conference. Lulu hails from Dalian University and Technology, where she received her B.S. in Information and Computing Science in 2007, and earn M.S. in Computational Mathematics from Fudan University  in 2010.  She earned PhD from King Abdullah University of Science and Technology in December 2014. After graduation,  She did research as a postdoc in the university of Lugano, Switzerland.