{"created":"2025-02-18T10:07:08.502011+00:00","id":2005302,"links":{},"metadata":{"_buckets":{"deposit":"3b1ed11e-5c73-4218-9d56-88a43ab3b801"},"_deposit":{"created_by":41,"id":"2005302","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2005302"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02005302","sets":["1730444908512:1730444916333"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"The Finite Element Method on a Riemann Surface","subitem_title_language":"en"},{"subitem_title":"リーマン面上の有限要素法","subitem_title_language":"ja"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"原, 平八郎","creatorNameLang":"ja"},{"creatorName":"Hara, Heihachiro","creatorNameLang":"en"}],"familyNames":[{"familyName":"原","familyNameLang":"ja"},{"familyName":"Hara","familyNameLang":"en"}],"givenNames":[{"givenName":"平八郎","givenNameLang":"ja"},{"givenName":"Heihachiro","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":"Copyright(c) by Author"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Contents / p2  Introduction / p1  Chapter 1. Triangulation / p6  　§1.1. Collection Φ of local parameters / p6  　§1.2. Triangulation K associated to Φ / p7  　§1.3. Normal subdivision of triangulation K / p10  　§1.4. Naturalized triangulation / p11  　§1.5. Parametrization of lunar domains / p13  　§1.6. Area of lune / p14  Chapter 2. Spaces of differentials / p16  　§2.1. Subspace Λ of Γc / p16  　§2.2. Space Λ' / p17  　§2.3. Finite element interpolations / p19  　§2.4. Harmonic differentials on a lune / p19  　§2.5. Difference of norms of σh and σ'h / p20  Chapter 3. Finite element approximations / p24  　§3.1. Formulation of problems / p24  　§3.2. Finite element approximation ψh in Λ / p26  　§3.3. Finite element approximation ω'h in Λ' / p28  　§3.4. Lemma of Bramble and Zlámal / p29  　§3.5. Pointwise estimate / p29  　§3.6. Smoothness of ω on Ω / p31  　§3.7. Approximation by ψh / p33  　§3.8. Approximation by ω'h / p36  　§3.9. Estimate of ||ω'h - ω̂'|| / p39  Chapter 4. Determination of the periodicity moduli of Riemann surfaces / p41  　§4.1. Periodicity moduli of Riemann surfaces / p41  　§4.2. Calculation of periodicity moduli / p42  　§4.3. Numerical example 1(the case of a ciosed Riemann sueface) / p43  　§4.4. Numerical example 2(the case of acompact bordered Rimann surface) / p51  Chapter 5. Determination of the modulus of quadrilaterals / p60  　§5.1. Quadrilateral on a Riemann surface / p60  　§5.2. Formulation of problems / p60  　§5.3. Numerical example 3(the case of Gaier's example) / p62  　§5.4. Numerical example 4(the case of a riemann surface) / p68  　§5.5. Numerical example 5(the case of an unbounded domain) / p75  　§5.6. Numerical example 6(the case of a curvilinear domain) / p77  References / p81","subitem_description_type":"TableOfContents"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617187087799":{"attribute_name":"Dissertation Number","attribute_value_mlt":[{"subitem_dissertationnumber":"乙第1924号"}]},"item_1617187112279":{"attribute_name":"Degree Name","attribute_value_mlt":[{"subitem_degreename":"博士(学術)","subitem_degreename_language":"ja"},{"subitem_degreename":"Science","subitem_degreename_language":"en"}]},"item_1617187136212":{"attribute_name":"Date Granted","attribute_value_mlt":[{"subitem_dategranted":"1989-12-08"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"doctoral thesis","resourceuri":"http://purl.org/coar/resource_type/c_db06"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"diss_otsu1924.pdf","filesize":[{"value":"35.6 MB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2005302/files/diss_otsu1924.pdf"},"version_id":"7b47fafa-5979-42b6-9285-b6a3bb8ac150"}]},"item_1617944105607":{"attribute_name":"Degree Grantor","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"ja","subitem_degreegrantor_name":"広島大学"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"15401","subitem_degreegrantor_identifier_scheme":"kakenhi"}]},{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"en","subitem_degreegrantor_name":"Hiroshima University"}]}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"31763"},"item_title":"The Finite Element Method on a Riemann Surface","item_type_id":"40003","owner":"41","path":["1730444916333"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2005302","relation_version_is_last":true,"title":["The Finite Element Method on a Riemann Surface"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-20T08:29:34.092325+00:00"}