Development and Study of Newton-Krylov-Schwarz Algorithms

Abstract

In this paper we develop and study a combination of Newton-Krylov matrix-free methodology with Schwarz-based domain decomposition methods. To illustrate the performance of the resulting algorithms we present numerical applications to the steady solution of compressible Euler flow together with some comparisons with the more standard Schwarz-based methods, namely, Schwarz methods combined with defect-correction procedures.