Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem - Université des Antilles Access content directly
Journal Articles Applied Mathematics and Computation Year : 1997

Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem

Abstract

In a previous work, one of the authors has studied a numerical treatment (by fully implicit discretizations) of a two-dimensional Navier-Stokes-like problem and has proved existence and convergence results for the resulting discretized systems with homogeneous Dirichlet boundary conditions. In this work, we propose some new preconditioned multilevel versions of inexact-Newton algorithms to solve these equations. We also develop another multilevel preconditioner for a nonlinear GMRES algorithm. All of the preconditioners are based on incremental unknowns formulations.

Dates and versions

hal-00770269 , version 1 (04-01-2013)

Identifiers

Cite

Olivier Goyon, Pascal Poullet. Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem. Applied Mathematics and Computation, 1997, 2-3, pp.289-311. ⟨10.1016/S0096-3003(96)00304-9⟩. ⟨hal-00770269⟩
58 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More