A combined linear and nonlinear preconditioning technique for incompressible navier-stokes equations

Authors:
Feng-Nan Hwang;Xiao-Chuan Cai
Affiliations:
Department of Computer Science, University of Colorado, Boulder, CO;Department of Computer Science, University of Colorado, Boulder, CO
Venue:
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Year:
2004

Citing 5
Cited 0

Stabilized finite element methods. II: The incompressible Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering
An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport

Journal of Computational Physics
Nonlinearly Preconditioned Inexact Newton Algorithms

SIAM Journal on Scientific Computing
A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations

Journal of Computational Physics
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

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Abstract

We propose a new two-level nonlinear additive Schwarz preconditioned inexact Newton algorithm (ASPIN). The two-level nonlinear preconditioner combines a local nonlinear additive Schwarz preconditioner and a global linear coarse preconditioner. Our parallel numerical results based on a lid-driven cavity incompressible flow problem show that the new two-level ASPIN is nearly scalable with respect to the number of processors if the coarse mesh size is fine enough.