Abstract
A numerical verification method of the solution for the stationary Navier-Stokes equations is described. This method is based on the infinite dimensional fixed point theorem using the Newton-like operator. We present a verification algorithm which generates automatically on a computer a set including the exact solution. Some numerical examples are also discussed.
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Watanabe, Y., Yamamoto, N. & Nakao, M.T. A Numerical Verification Method of Solutions for the Navier-Stokes Equations. Reliable Computing 5, 347–357 (1999). https://doi.org/10.1023/A:1009976505460
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DOI: https://doi.org/10.1023/A:1009976505460