{"created":"2023-06-20T15:08:21.928177+00:00","id":37794,"links":{},"metadata":{"_buckets":{"deposit":"92214138-4751-4aa0-8364-2de52b60018c"},"_deposit":{"created_by":1,"id":"37794","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"37794"},"status":"published"},"_oai":{"id":"oai:jaxa.repo.nii.ac.jp:00037794","sets":["1887:1891","1896:1898:1913:1915"]},"author_link":["483030","483029","483033","483032","483031","483034"],"item_5_alternative_title_2":{"attribute_name":"その他のタイトル（英）","attribute_value_mlt":[{"subitem_alternative_title":"On iterative solutions of the discrete Neumann problem for Poisson's equation"}]},"item_5_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1994-03","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"202","bibliographicPageStart":"197","bibliographicVolumeNumber":"22","bibliographic_titles":[{"bibliographic_title":"航空宇宙技術研究所特別資料: 第11回航空機計算空気力学シンポジウム論文集"},{"bibliographic_title":"Special Publication of National Aerospace Laboratory: Proceedings of the 11th NAL Symposium on aircraft computational aerodynamics","bibliographic_titleLang":"en"}]}]},"item_5_description_14":{"attribute_name":"会議概要（会議名, 開催地, 会期, 主催者等）","attribute_value_mlt":[{"subitem_description":"航空宇宙技術研究所 10-11 Jun. 1993 東京 日本","subitem_description_type":"Other"}]},"item_5_description_15":{"attribute_name":"会議概要（会議名, 開催地, 会期, 主催者等）（英）","attribute_value_mlt":[{"subitem_description":"National Aerospace Laboratory 10-11 Jun. 1993 Tokyo Japan","subitem_description_type":"Other"}]},"item_5_description_16":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"本論文は、ポアソン方程式に対する離散型ノイマン問題の反復解と反復不変量を扱う。反復解法の収束を理論的に保証するために、差分方程式に対していわゆる離散化された発散定理が必要となる。反復不変量が存在する事実を用いて、反復解が与えられた初期値によって定まる一意解に収束することが示される。反復不変量に関する数値実験を行い、未知数の選び方および基準点の解の値をくぎ付けにする操作が収束性に影響を及ぼすことを示した。","subitem_description_type":"Abstract"}]},"item_5_description_17":{"attribute_name":"抄録（英）","attribute_value_mlt":[{"subitem_description":"This paper is concerned with iterative solutions and iteration invariants of the discrete Neumann problem for Poisson's equation. In order to ensure convergence of iterative solutions theoretically, the so-called discrete divergence theorem is required for difference equations. Using the fact that iteration invariants exist, it is shown that the sequence of iterates converge to the unique solution which is determined by a given initial value. Numerical results on iteration invariants suggest that the choice of unknowns and the pinning down procedure may influence convergence.","subitem_description_type":"Other"}]},"item_5_description_32":{"attribute_name":"資料番号","attribute_value_mlt":[{"subitem_description":"資料番号: AA0004171034","subitem_description_type":"Other"}]},"item_5_description_33":{"attribute_name":"レポート番号","attribute_value_mlt":[{"subitem_description":"レポート番号: NAL SP-22","subitem_description_type":"Other"}]},"item_5_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"航空宇宙技術研究所"}]},"item_5_publisher_9":{"attribute_name":"出版者（英）","attribute_value_mlt":[{"subitem_publisher":"National Aerospace Laboratory (NAL)"}]},"item_5_source_id_21":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0289-260X","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_24":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10097345","subitem_source_identifier_type":"NCID"}]},"item_5_text_6":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"航空宇宙技術研究所"},{"subitem_text_value":"航空宇宙技術研究所"},{"subitem_text_value":"航空宇宙技術研究所"}]},"item_5_text_7":{"attribute_name":"著者所属（英）","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"National Aerospace Laboratory"},{"subitem_text_language":"en","subitem_text_value":"National Aerospace Laboratory"},{"subitem_text_language":"en","subitem_text_value":"National Aerospace Laboratory"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"藤田, 直行"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"高橋, 匡康"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"田村, 敦宏"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Fujita, Naoyuki","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Takahashi, Tadayasu","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Tamura, Atsuhiro","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-02-10"}],"displaytype":"detail","filename":"nalsp0022033.pdf","filesize":[{"value":"366.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"nalsp0022033.pdf","url":"https://jaxa.repo.nii.ac.jp/record/37794/files/nalsp0022033.pdf"},"version_id":"b06066bc-fc79-404a-a626-506da3945b8d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ポアソン方程式数値解","subitem_subject_scheme":"Other"},{"subitem_subject":"離散化ノイマン問題","subitem_subject_scheme":"Other"},{"subitem_subject":"反復解法","subitem_subject_scheme":"Other"},{"subitem_subject":"反復法収束性","subitem_subject_scheme":"Other"},{"subitem_subject":"収束性定理","subitem_subject_scheme":"Other"},{"subitem_subject":"反復不変量","subitem_subject_scheme":"Other"},{"subitem_subject":"離散化発散定理","subitem_subject_scheme":"Other"},{"subitem_subject":"離散化境界値問題","subitem_subject_scheme":"Other"},{"subitem_subject":"くぎ付け操作","subitem_subject_scheme":"Other"},{"subitem_subject":"数値解析","subitem_subject_scheme":"Other"},{"subitem_subject":"行列反復解法","subitem_subject_scheme":"Other"},{"subitem_subject":"ポイントヤコービ法","subitem_subject_scheme":"Other"},{"subitem_subject":"ガウスザイデル法","subitem_subject_scheme":"Other"},{"subitem_subject":"Poisson equation numerical solution","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"discrete Neumann problem","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"iterative solution procedure","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"iteration convergence property","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"convergence theorem","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"iteration invariant","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"discrete divergence theorem","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"discretized boundary value problem","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"pinning down procedure","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"numerical analysis","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"matrix iterative solution method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"point Jacobi method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Gauss Seidel method","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"conference 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