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A Numerical Verification Method of Solutions for the Navier-Stokes Equations

In: Developments in Reliable Computing

Author

Listed:
  • Yoshitaka Watanabe

    (Kyushu University 33, Computer Center)

  • Nobito Yamamoto

    (Kyushu University 33, Graduate School of Mathematics)

  • Mitsuhiro T. Nakao

    (Kyushu University 33, Graduate School of Mathematics)

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.

Suggested Citation

  • Yoshitaka Watanabe & Nobito Yamamoto & Mitsuhiro T. Nakao, 1999. "A Numerical Verification Method of Solutions for the Navier-Stokes Equations," Springer Books, in: Tibor Csendes (ed.), Developments in Reliable Computing, pages 347-357, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-1247-7_27
    DOI: 10.1007/978-94-017-1247-7_27
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