On backtracking failure in newton-GMRES methods with a demonstration for the navier-stokes equations

摘要: In an earlier study of inexact Newton methods, we pointed out that certain counterintuitive behavior may occur when applying residual backtracking to the Navier-Stokes equations with heat and mass transport. Specifically, it was observed a Newton-GMRES method globalized by (linesearch, damping) be less robust high accuracy is required each linear solve in sequence than required. this brief discussion, offer possible explanation for phenomenon, together illustrative numerical experiment involving equations.