Abstract: When the artificial compressibility method in conjunction with high-order upwind compact finite difference schemes is employed to discretize the steady-state incompressible Navier-Stokes equations, in each pseudo-time step we need to solve a structured system of linear equations approximately by, for example, a Krylov subspace method such as the preconditioned GMRES. In this talk, based on the special structure and concrete property of the linear system we construct a structured preconditioner for its coefficient matrix and estimate eigenvalue bounds of the correspondingly preconditioned matrix. Numerical examples are given to illustrate the effectiveness of the proposed preconditioning methods.

 
报告人简介: 白中治，中国科学院数学与系统科学研究院研究员、博士生导师、国家杰出青年基金获得者。1985年6月毕业于兰州大学数学系,获理学学士学位，1988年6月在兰州大学获得理学硕士学位，1993年6月获得上海科学技术大学理学博士学位,同年进入复旦大学数学博士后流动站进行博士后研究工作. 1995年7月进入中国科学院计算数学与科学工程计算研究所工作, 并晋升为副研究员. 1998年11月被特批为研究员. 主要从事线性与非线性数值代数,及并行计算及其应用等方面的研究工作.

                  

Date&Time: Februry 10, 2015 (Tuesday), 11:00 - 12:00 a.m. 
Location: 101 Meeting Room