### 抄録

Numerical experiments are given for solving the discretized problems derived from the boundary value problems of partial differential equation (PDE) on the shared memory parallel machine Origin 2400 with 8 processors. In particular, several numerical results of two dimensional convection diffusion problems are reported. This paper presents a theoretical and a practical point of view that the preconditioner created by minimal residual (MR) algorithm is useful in improving the convergence of restarted GMRES(m) algorithm.

元の言語 | English |
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ホスト出版物のタイトル | Proceedings of the Third International Conference on Engineering Computational Technology |

編集者 | B.H.V. Topping, Z. Bittnar, B.H.V. Topping, Z. Bittnar |

ページ | 115-116 |

ページ数 | 2 |

出版物ステータス | Published - 2002 |

イベント | Proceedings of the Third International Conference on Engineering Computational Technology - Prague, Czech Republic 継続期間: 2002 9 4 → 2002 9 6 |

### Other

Other | Proceedings of the Third International Conference on Engineering Computational Technology |
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国 | Czech Republic |

市 | Prague |

期間 | 02/9/4 → 02/9/6 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### これを引用

*Proceedings of the Third International Conference on Engineering Computational Technology*(pp. 115-116)

**Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400.** / Tanaka, Toshiyuki; Nodera, T.

研究成果: Conference contribution

*Proceedings of the Third International Conference on Engineering Computational Technology.*pp. 115-116, Proceedings of the Third International Conference on Engineering Computational Technology, Prague, Czech Republic, 02/9/4.

}

TY - GEN

T1 - Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400

AU - Tanaka, Toshiyuki

AU - Nodera, T.

PY - 2002

Y1 - 2002

N2 - Numerical experiments are given for solving the discretized problems derived from the boundary value problems of partial differential equation (PDE) on the shared memory parallel machine Origin 2400 with 8 processors. In particular, several numerical results of two dimensional convection diffusion problems are reported. This paper presents a theoretical and a practical point of view that the preconditioner created by minimal residual (MR) algorithm is useful in improving the convergence of restarted GMRES(m) algorithm.

AB - Numerical experiments are given for solving the discretized problems derived from the boundary value problems of partial differential equation (PDE) on the shared memory parallel machine Origin 2400 with 8 processors. In particular, several numerical results of two dimensional convection diffusion problems are reported. This paper presents a theoretical and a practical point of view that the preconditioner created by minimal residual (MR) algorithm is useful in improving the convergence of restarted GMRES(m) algorithm.

KW - Approximate inverses

KW - GMRES algorithm

KW - Minimal residual algorithm

KW - Preconditioning

KW - Sparse linear systems

KW - Threshold dropping strategies

UR - http://www.scopus.com/inward/record.url?scp=0036922656&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036922656&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0036922656

SN - 0948749857

SP - 115

EP - 116

BT - Proceedings of the Third International Conference on Engineering Computational Technology

A2 - Topping, B.H.V.

A2 - Bittnar, Z.

A2 - Topping, B.H.V.

A2 - Bittnar, Z.

ER -