计算数学组学术报告

报告题目: HSS Method and Its Preconditioned Variant for Saddle Point Problems
报告人: 潘建瑜
单位: 华东师范大学数学系
报告地点: 理科大楼A1510
时间: 3月22号（星期三）16:00 -- 17:00

报告摘要:

In recent years, a large amount of work has been devoted to the problem of solving large linear systems in saddle point form. The reason for this interest is the fact that such problems arise in a wide variety of technical and scientific applications. For example, the ever-increasing popularity of mixed finite element methods in engineering fields such as fluid and solid mechanics has been a major source of saddle point systems. Another reason for this surge in interest is the extraordinary success of interior point algorithms in both linear and nonlinear optimization, which require at their heart the solution of a sequence of systems in saddle point form.

Because of the ubiquitous nature of saddle point systems, methods and results on their numerical solution have appeared in a wide variety of books, journals and conference proceedings. The purpose of this talk is to introduce a promising new approach based on the Hermitian and skew-Hermitian splitting which appears to be especially well suited to the Navier-Stokes equations in rotation form.