Estimation of the Number of Iterations for Detinite Convergence Condition by Use of the Gauss-Seidel Method

• Taniguchi Takeo

• Kanei Toshio

抄録

In this investigation the estimation method of the number of iterations for definite convergence condition by use of the Gauss-Seidel method applied for a set of linear equations which is obtained from the finite element analysis (or the finite difference analysis) of any rectangular area subdivided into N*M is proposed. Though the number of iterations can be obtained by using the eigenvalue of the governing equations, the proposed method does not require the eigenvalue but only the values of Nand M. Numerical experiments on this estimation method clarify that the estimated values are within the error bound of 10%.

収録刊行物

• Memoirs of the School of Engineering, Okayama University

  Memoirs of the School of Engineering, Okayama University 17 (1), 81-96, 1983-02-25

  岡山大学工学部

詳細情報

• CRID: 1390009224548253440
• NII論文ID: 120002307520
• NII書誌ID: AA00733903
• ISSN: 04750071
• DOI: 10.18926/15821
• Web Site: https://ousar.lib.okayama-u.ac.jp/15821
• 本文言語コード: en
• データソース種別:
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  • IRDB
  • CiNii Articles