Title: A Robin-type Domain Decomposition Preconditioner
Speaker: Xuejun Xu
LSEC, Academy of Mathematics and System Sciences,
Chinese Academy of Sciences, Beijing, China
Time: 2014.4.28, Monday, 2:00-3:00PM
Place:数学楼2楼学术报告厅
 
Abstract:
In this talk, we shall present a new Robin-type nonoverlapping domain decomposition(DD)
preconditioner. The unknown variables to be solved in this preconditioned algebraic system
are the Robin transmission condition on the interface, which are different from the well-known DD
methods like substructuring nonoverlapping DD method and FETI method. By choosing suitable
parameter on each subdomain boundary and using the tool of energy estimate, for the second-order
elliptic problem, we prove that the condition number of the preconditioned system is C(1+log(H/h ))^2,
where H is the coarse mesh size and h is the fine mesh size. Numerical results shall be given to illustrate
the efficiency of our DD preconditioner.  
 
个人简介: 许学军, 中科院计算数学所研究员, 杰出青年基金获得者, 苏州大学数学系1986级校友.