### 抜粋

In this paper, we show some constructive a priori error estimates for H_{0}
^{2}-projection into a space of polynomials on a one dimensional interval. Here, 'constructive' means we can get the error bounds in which all constants included are explicitly given or represented as a numerically computable form. By using the property of Legendre polynomials, we try to determine such constants as small as possible. Particularly, we will show the optimal constant could be enclosed in a very narrow interval. Then an application of the results to finite element H_{0}
^{2}- projection in one dimension is presented. This kind of estimates will play an important role in the numerical verification of solutions for nonlinear fourth order elliptic problems.

元の言語 | English |
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ホスト出版物のタイトル | Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 |

ページ | 926-929 |

ページ数 | 4 |

巻 | 1168 |

DOI | |

出版物ステータス | Published - 2009 |

外部発表 | Yes |

イベント | International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece 継続期間: 2009 9 18 → 2009 9 22 |

### Other

Other | International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 |
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国 | Greece |

市 | Rethymno, Crete |

期間 | 09/9/18 → 09/9/22 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## フィンガープリント On verified computations of the optimal constant in the a priori error estimates for h0 2-projection' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009*(巻 1168, pp. 926-929) https://doi.org/10.1063/1.3241634