Newton iterative method on Steklov-Poincare operators for ﬂuid-structure interaction problem
Dr. Huidong YangOct. 14, 2008, 3:30 p.m. MZ 005A
In this talk, we will discuss the Newton iterative solution for the Steklov-Poincaré equations at the interface of the ﬂuid-structure interaction problem. This method can be regarded as a special case of heterogeneous domain decomposition problem in the approximation of ﬂuid-structure subproblems within two disjoint subregions of the compuational domain.
Standard and simple strategies like ﬁxed-piont based method are expensive and may fail to converge. Recent advances in this topic suggest the use of Newton based methods relying on the evaluation of the exact jacobians, e.g the sesitivity of the ﬂuid state with repect to the interface motion.
This is a joint work with Prof. W. Zulehner.