{"id":"https://openalex.org/W3007906496","doi":"https://doi.org/10.1007/s10208-020-09447-y","title":"A Proof via Finite Elements for Schiffer\u2019s Conjecture on a Regular Pentagon","display_name":"A Proof via Finite Elements for Schiffer\u2019s Conjecture on a Regular Pentagon","publication_year":2020,"publication_date":"2020-02-19","ids":{"openalex":"https://openalex.org/W3007906496","doi":"https://doi.org/10.1007/s10208-020-09447-y","mag":"3007906496"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-020-09447-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-020-09447-y","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086572275","display_name":"Nilima Nigam","orcid":"https://orcid.org/0000-0002-6739-1179"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Nilima Nigam","raw_affiliation_strings":["Department of Mathematics, Simon Fraser University, Burnaby, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075403634","display_name":"Bart\u0142omiej Siudeja","orcid":"https://orcid.org/0000-0002-2066-8150"},"institutions":[{"id":"https://openalex.org/I181233156","display_name":"University of Oregon","ror":"https://ror.org/0293rh119","country_code":"US","type":"education","lineage":["https://openalex.org/I181233156"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bart\u0142omiej Siudeja","raw_affiliation_strings":["Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA","institution_ids":["https://openalex.org/I181233156"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012417558","display_name":"Benjamin Young","orcid":"https://orcid.org/0000-0003-1606-3367"},"institutions":[{"id":"https://openalex.org/I181233156","display_name":"University of Oregon","ror":"https://ror.org/0293rh119","country_code":"US","type":"education","lineage":["https://openalex.org/I181233156"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Young","raw_affiliation_strings":["Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA","institution_ids":["https://openalex.org/I181233156"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086572275"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2887,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60685417,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"6","first_page":"1475","last_page":"1504"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7969287633895874},{"id":"https://openalex.org/keywords/pentagon","display_name":"Pentagon","score":0.7702137231826782},{"id":"https://openalex.org/keywords/equilateral-triangle","display_name":"Equilateral triangle","score":0.6881111860275269},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6531832814216614},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.613355278968811},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.5718448162078857},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5384715795516968},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5091354250907898},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4355587363243103},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2973792850971222},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24249368906021118}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7969287633895874},{"id":"https://openalex.org/C2779965921","wikidata":"https://www.wikidata.org/wiki/Q127840","display_name":"Pentagon","level":2,"score":0.7702137231826782},{"id":"https://openalex.org/C146786541","wikidata":"https://www.wikidata.org/wiki/Q157002","display_name":"Equilateral triangle","level":2,"score":0.6881111860275269},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6531832814216614},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.613355278968811},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5718448162078857},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5384715795516968},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5091354250907898},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4355587363243103},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2973792850971222},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24249368906021118},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-020-09447-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-020-09447-y","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W73123583","https://openalex.org/W155395474","https://openalex.org/W178772886","https://openalex.org/W1494163043","https://openalex.org/W1576347883","https://openalex.org/W1592061133","https://openalex.org/W1989540444","https://openalex.org/W2034573031","https://openalex.org/W2049251542","https://openalex.org/W2059902102","https://openalex.org/W2082938019","https://openalex.org/W2089024363","https://openalex.org/W2091603956","https://openalex.org/W2117686912","https://openalex.org/W2131433460","https://openalex.org/W2144788673","https://openalex.org/W2148360835","https://openalex.org/W2172266329","https://openalex.org/W2899598218","https://openalex.org/W2906545332","https://openalex.org/W2963038624","https://openalex.org/W2963706075","https://openalex.org/W4245654886","https://openalex.org/W4285719527","https://openalex.org/W4301890399","https://openalex.org/W4320800818","https://openalex.org/W6600002382","https://openalex.org/W6776885321","https://openalex.org/W6824878655"],"related_works":["https://openalex.org/W4223515324","https://openalex.org/W4226286897","https://openalex.org/W2023285778","https://openalex.org/W4302419125","https://openalex.org/W2766128145","https://openalex.org/W2038878154","https://openalex.org/W121031341","https://openalex.org/W4300623652","https://openalex.org/W4290982745","https://openalex.org/W2111271529"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
