{"created":"2021-03-01T06:59:38.070911+00:00","id":40064,"links":{},"metadata":{"_buckets":{"deposit":"f32e0430-a36c-4918-bcd1-d596774fe265"},"_deposit":{"id":"40064","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40064"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040064","sets":["312:6865:6919:6927","9:504:6868:6921:6928"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-07-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"78","bibliographicPageStart":"27","bibliographicVolumeNumber":"17","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We give some fundamental results on the error constants for the piecewise constant interpolation function and the piecewise linear one over triangles. For the piecewise linear one, we mainly analyze the conforming case, but the present results also appear to be available for the non-conforming case. We obtain explicit relations for the upper bounds of the constants, and analyze dependence of such constants on the geometric parameters of triangles. In particular, we explicitly determine some special constants including the Babuška-Aziz constant, which plays an essential role in the interpolation error estimation of the linear triangular finite element. The obtained results are expected to be widely used for a priori and a posteriori error estimations in adaptive computation and numerical verification of numerical solutions based on the triangular finite elements. We also give some numerical results for the error constants and for a posteriori estimates of some eigenvalues related to the error constants.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"65N15(MSC2000)"},{"subitem_text_value":"65N30(MSC2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2008-07-22"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences, University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Liu, Xuefeng"}],"nameIdentifiers":[{"nameIdentifier":"92522","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Kikuchi, Fumio"}],"nameIdentifiers":[{"nameIdentifier":"92523","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-14"}],"displaytype":"detail","filename":"jms170102.pdf","filesize":[{"value":"578.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms170102.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40064/files/jms170102.pdf"},"version_id":"58e36e37-8685-4aa2-b9da-b3497aaf87f5"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"FEM","subitem_subject_scheme":"Other"},{"subitem_subject":"error estimates","subitem_subject_scheme":"Other"},{"subitem_subject":"triangular finite elements","subitem_subject_scheme":"Other"},{"subitem_subject":"interpolation error constants","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Analysis and Estimation of Error Constants for P0 and P1 Interpolations over Triangular Finite Elements","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Analysis and Estimation of Error Constants for P0 and P1 Interpolations over Triangular Finite Elements"}]},"item_type_id":"4","owner":"1","path":["6927","6928"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-10-22"},"publish_date":"2012-10-22","publish_status":"0","recid":"40064","relation_version_is_last":true,"title":["Analysis and Estimation of Error Constants for P0 and P1 Interpolations over Triangular Finite Elements"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:59.346065+00:00"}