{"id":"https://openalex.org/W2077822821","doi":"https://doi.org/10.1007/s00211-007-0081-2","title":"Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension","display_name":"Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension","publication_year":2007,"publication_date":"2007-05-15","ids":{"openalex":"https://openalex.org/W2077822821","doi":"https://doi.org/10.1007/s00211-007-0081-2","mag":"2077822821"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-007-0081-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-007-0081-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1007.1120","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Snorre H. Christiansen","orcid":null},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Snorre H. Christiansen","raw_affiliation_strings":["CMA c/o Department of Mathematics, Universitetet i Oslo, P.O. Box 1053, Blindern, NO-0316, Oslo, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMA c/o Department of Mathematics, Universitetet i Oslo, P.O. Box 1053, Blindern, NO-0316, Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I184942183"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2436,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.87850805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"107","issue":"1","first_page":"87","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.12349999696016312,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.12349999696016312,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.09969999641180038,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.0697999969124794,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-form","display_name":"Differential form","score":0.554099977016449},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5159000158309937},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.49140000343322754},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.42739999294281006},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.4212000072002411},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41440001130104065},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.3937999904155731},{"id":"https://openalex.org/keywords/hodge-dual","display_name":"Hodge dual","score":0.3727000057697296}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9160000085830688},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5622000098228455},{"id":"https://openalex.org/C115071613","wikidata":"https://www.wikidata.org/wiki/Q1047080","display_name":"Differential form","level":2,"score":0.554099977016449},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5418999791145325},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5159000158309937},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.49140000343322754},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.42739999294281006},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.4212000072002411},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41440001130104065},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.3937999904155731},{"id":"https://openalex.org/C114417882","wikidata":"https://www.wikidata.org/wiki/Q1622692","display_name":"Hodge dual","level":4,"score":0.3727000057697296},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3621000051498413},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.3528999984264374},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.31360000371932983},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.29019999504089355},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2896000146865845},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.26330000162124634},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.2547000050544739}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-007-0081-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-007-0081-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1007.1120","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1007.1120","pdf_url":"https://arxiv.org/pdf/1007.1120","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1007.1120","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1007.1120","pdf_url":"https://arxiv.org/pdf/1007.1120","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W46603733","https://openalex.org/W136185420","https://openalex.org/W380406053","https://openalex.org/W1516320851","https://openalex.org/W1522382323","https://openalex.org/W1522589176","https://openalex.org/W1708679080","https://openalex.org/W1881147112","https://openalex.org/W1982152100","https://openalex.org/W1983033166","https://openalex.org/W1985606844","https://openalex.org/W1985861577","https://openalex.org/W1989748191","https://openalex.org/W1990941154","https://openalex.org/W1999400032","https://openalex.org/W2008193785","https://openalex.org/W2009985306","https://openalex.org/W2014744421","https://openalex.org/W2017938125","https://openalex.org/W2036776030","https://openalex.org/W2038151469","https://openalex.org/W2051112136","https://openalex.org/W2051682834","https://openalex.org/W2053671897","https://openalex.org/W2062618977","https://openalex.org/W2064909895","https://openalex.org/W2138486270","https://openalex.org/W2144374484","https://openalex.org/W2199169705","https://openalex.org/W2231606068","https://openalex.org/W2326008957","https://openalex.org/W3046457476","https://openalex.org/W3149667697","https://openalex.org/W4250362043","https://openalex.org/W4292165935","https://openalex.org/W6786071171"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2016-06-24T00:00:00"}