{"created":"2025-02-21T03:29:06.096784+00:00","id":2006691,"links":{},"metadata":{"_buckets":{"deposit":"1aa08ebb-7dab-4ae8-a827-66816194d336"},"_deposit":{"created_by":41,"id":"2006691","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2006691"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02006691","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"A wavelet Galerkin method employing B-spline bases for solid mechanics problems without the use of a fictitious domain","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tanaka, Satoyuki","creatorNameLang":"en"}],"familyNames":[{"familyName":"Tanaka","familyNameLang":"en"}],"givenNames":[{"givenName":"Satoyuki","givenNameLang":"en"}]},{"creatorNames":[{"creatorName":"Hiroshi , Okada","creatorNameLang":"en"}],"familyNames":[{"familyName":"Hiroshi ","familyNameLang":"en"}],"givenNames":[{"givenName":"Okada","givenNameLang":"en"}]},{"creatorNames":[{"creatorName":"Okazawa, Shigenobu","creatorNameLang":"en"}],"familyNames":[{"familyName":"Okazawa","familyNameLang":"en"}],"givenNames":[{"givenName":"Shigenobu","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00466-011-0671-9","subitem_rights_language":"en"},{"subitem_rights":"This is not the published version. Please cite only the published version. ","subitem_rights_language":"en"},{"subitem_rights":"この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。","subitem_rights_language":"ja"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"Finite element method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Wavelet Galerkin  method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"B-spline scaling/wavelet functions","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Adaptive  analysis","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Stress concentration problem","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"This study develops a wavelet Galerkin method (WGM) that uses B-spline wavelet bases for application to solid mechanics problems. A fictitious domain is often adopted to treat general boundaries in WGMs. In the analysis, the body is extended to its exterior but very low stiffness is applied to the exterior region. The stiffness matrix in the WGM becomes singular without the use of a fictitious domain. The problem arises from the lack of linear independence of the basis functions. A technique to remove basis functions that can be represented by the superposition of the other basis functions is proposed. The basis functions are automatically eliminated in the pre conditioning step. An adaptive strategy is developed using the proposed technique. The solution is refined by superposing finer wavelet functions. Numerical examples of solid mechanics problems are presented to demonstrate the multiresolution properties of the WGM.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Springer Nature","subitem_publisher_language":"en"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"35"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-12-13","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"48","bibliographicPageStart":"35","bibliographicVolumeNumber":"50","bibliographic_titles":[{"bibliographic_title":"Computational Mechanics","bibliographic_titleLang":"en"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1007/s00466-011-0671-9","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2025-01-08"}],"displaytype":"simple","filename":"CM_50_35.pdf","filesize":[{"value":"8.3 MB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2006691/files/CM_50_35.pdf"},"version_id":"02b7d41a-caa0-4750-82d1-410d044ce4b5"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"55940"},"item_title":"A wavelet Galerkin method employing B-spline bases for solid mechanics problems without the use of a fictitious domain","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2025-01-08"},"publish_date":"2025-01-08","publish_status":"0","recid":"2006691","relation_version_is_last":true,"title":["A wavelet Galerkin method employing B-spline bases for solid mechanics problems without the use of a fictitious domain"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T08:09:48.000640+00:00"}