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

Yoshitaka Watanabe, Nobito Yamamoto, Mitsuhiro T. Nakao

Research output: Contribution to journalConference article

10 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)347-357
Number of pages11
JournalReliable Computing
Issue number3
Publication statusPublished - Jan 1 1999
EventProceedings of the 1997 Symposium on Defect Dependent Processes in Insulators and Semiconductors. Part 1 - Campos de Jordao, Brazil
Duration: Jul 31 1997Aug 4 1997

All Science Journal Classification (ASJC) codes

  • Software
  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A Numerical Verification Method of Solutions for the Navier-Stokes Equations'. Together they form a unique fingerprint.

  • Cite this