{"created":"2021-03-01T06:30:42.753449+00:00","id":22906,"links":{},"metadata":{"_buckets":{"deposit":"cc42a8a7-8800-4f3a-acd1-e264b28cfa83"},"_deposit":{"id":"22906","owners":[],"pid":{"revision_id":0,"type":"depid","value":"22906"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00022906","sets":["320:321:322"]},"author_link":["67407","67408","67409"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-07","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"53","bibliographicPageStart":"42","bibliographicVolumeNumber":"68","bibliographic_titles":[{"bibliographic_title":"Engineering Analysis with Boundary Elements","bibliographic_titleLang":"en"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper, we present a numerical method for periodic band structure calculation, which is associated with eigenvalue problems for periodic problems, using the boundary element method (BEM). In the BEM, the eigenvalue problems are converted into non-linear eigenvalue problems, which are not tractable with conventional eigensolvers. In the present study, to solve non-linear eigenvalue problems, the block Sakurai–Sugiura (SS) method, which can convert non-linear eigenvalue problems into generalised eigenvalue problems, is utilised. A fast direct solver for the BEM with a fast multipole representation is employed in the algorithm of the block SS method since algebraic equations need to be solved for multiple right-hand sides in the block SS method. We conduct several numerical experiments related to phononic structures to confirm the validity and efficiency of the proposed method. We confirm that the proposed method can calculate the band structure of the phononic structures, and the computational time with the proposed method is less than that with a conventional FEM-based eigensolvers with triangular linear elements even for relatively small problems.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"DOI","subitem_identifier_uri":"http://dx.doi.org/10.1016/j.enganabound.2016.03.018"},{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/25084"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.enganabound.2016.03.018","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_10_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0955-7997","subitem_source_identifier_type":"PISSN"}]},"item_1615787544753":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Isakari, Hiroshi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"67407","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Takahashi, Toru","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"67408","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Matsumoto, Toshiro","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"67409","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":"2018-07-01"}],"displaytype":"detail","filename":"main.pdf","filesize":[{"value":"991.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"main.pdf ファイル公開：2018/07/01","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/22906/files/main.pdf"},"version_id":"b3a45387-0ea3-449e-a24f-abcfe0daee9d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Photonic/Phononic band structure","subitem_subject_scheme":"Other"},{"subitem_subject":"Periodic problem","subitem_subject_scheme":"Other"},{"subitem_subject":"Sakurai–Sugiura method","subitem_subject_scheme":"Other"},{"subitem_subject":"Non-linear eigenvalue problem","subitem_subject_scheme":"Other"},{"subitem_subject":"Fast direct solver for boundary element method","subitem_subject_scheme":"Other"},{"subitem_subject":"Fast multipole method","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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Periodic band structure calculation by the Sakurai–Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Periodic band structure calculation by the Sakurai–Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["322"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2016-11-22"},"publish_date":"2016-11-22","publish_status":"0","recid":"22906","relation_version_is_last":true,"title":["Periodic band structure calculation by the Sakurai–Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:12:35.201453+00:00"}