A generalization of Uzawa’s algorithm for the solution of the Navier- Stokes equations. (English) Zbl 0592.76040

Usawa’s algorithm [K. J. Arrow, L. Hurwicz and H. Uzawa, Studies in nonlinear programming (1958; Zbl 0091.160)] provides an efficient method for solving the divergence-free Stokes problem. The Newton-Raphson scheme is very popular for the solution of the nonlinear Navier-Stokes equations. We propose here a new method that combines these two algorithms and converges to a divergence-free solution of the nonlinear Navier-Stokes equations.


76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
76M99 Basic methods in fluid mechanics


Zbl 0091.160
Full Text: DOI


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