On nonlinear preconditioners in NewtonKrylov methods for unsteady flows Academic Article uri icon

abstract

  • AbstractThe application of nonlinear schemes like dual time stepping as preconditioners in matrixfree NewtonKrylovsolvers is considered and analyzed, with a special emphasis on unsteady viscous flows. We provide a novel formulation of the left preconditioned operator that says it is in fact linear in the matrixfree sense, but changes the Newton scheme. This allows to get some insight in the convergence properties of these schemes, which is demonstrated through numerical results. Copyright 2009 John Wiley & Sons, Ltd.

published proceedings

  • International Journal for Numerical Methods in Fluids

author list (cited authors)

  • Birken, P., & Jameson, A.

citation count

  • 10

publication date

  • February 2010

publisher