{"created":"2023-07-27T06:56:23.681339+00:00","id":53237,"links":{},"metadata":{"_buckets":{"deposit":"4300c4e1-f297-4862-ae8e-c1de66798f60"},"_deposit":{"created_by":18,"id":"53237","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"53237"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00053237","sets":["2812:2813:2821"]},"author_link":["15953","94649"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-06-11","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"4p.","bibliographicVolumeNumber":"2010 – 2012","bibliographic_titles":[{"bibliographic_title":"平成24(2012)年度 科学研究費補助金 若手研究(B) 研究成果報告書"},{"bibliographic_title":"2012 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{}],"nameIdentifiers":[{},{}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"有限要素法の誤差評価には補間誤差の評価が本質的な役割を果たしています。我々は本研究において、三角形要素上の補間誤差を精密に評価する公式を考案し、証明することに成功しました。特に、三角形要素上の補間誤差が三角形の外接円の半径で押さえられるという、外接半径条件を証明することができました。これにより、解に特異性が現れるような偏微分方程式を有限要素法で解く場合にも、効率的なメッシュ分割を行い、精度良く解を計算することが可能になりました。","subitem_description_type":"Abstract"},{"subitem_description":"The estimate for the interpolation error plays an essential role in error estimation for Finite Element Method. In our research, we obtained and proved precise formula that bounds interpolation error on the triangular elements. In particular, we proved that the interpolation error is bounded by the radius of circumscribed circle of the triangles. We call this condition circum radius condition. This result enables us to compute solutions of partial differential equation with singularity by efficient mesh division.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:22740059, 研究期間(年度):2010-2012","subitem_description_type":"Other"},{"subitem_description":"出典:研究課題「特異性を持つ偏微分方程式の解の高精度計算および精度保証に関する研究」課題番号22740059\n(KAKEN:科学研究費助成事業データベース(国立情報学研究所)) \n(https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-22740059/22740059seika/)を加工して作成","subitem_description_type":"Other"}]},"item_9_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"一橋大学 / 金沢大学理工研究域数物科学系","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00059521","subitem_identifier_reg_type":"JaLC"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/search/?kw=60432902"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/search/?kw=60432902","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-22740059/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-22740059/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-22740059/22740059seika/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-22740059/22740059seika/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-10-05"}],"displaytype":"detail","filename":"SC-PR-KOBAYASHI-K-kaken 2013-4p.pdf","filesize":[{"value":"296.5 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-KOBAYASHI-K-kaken 2013-4p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/53237/files/SC-PR-KOBAYASHI-K-kaken 2013-4p.pdf"},"version_id":"d4c170fe-9b80-4332-b1c9-06cfa5b4b2c7"}]},"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":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"特異性を持つ偏微分方程式の解の高精度計算および精度保証に関する研究","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"特異性を持つ偏微分方程式の解の高精度計算および精度保証に関する研究"},{"subitem_title":"Researches on the high-accurate computation and numerical verification for the solution of the partial differential equation with singularity","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["2821"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-10-05"},"publish_date":"2020-10-05","publish_status":"0","recid":"53237","relation_version_is_last":true,"title":["特異性を持つ偏微分方程式の解の高精度計算および精度保証に関する研究"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-07-27T12:00:05.266033+00:00"}