Norm estimates of product operators with application to domain decomposition

摘要

In this paper, we consider norm estimates for operators of the product form E=(I−Tj)⋯(I−T1)(I−T0) in an abstract Hilbert space. By imposing appropriate assumptions on Tj, explicit norm estimates for E are established. We then apply the abstract theory to convergence analysis of domain decomposition for nonsymmetric and indefinite second order elliptic problems.