{"id":"https://openalex.org/W4413041725","doi":"https://doi.org/10.1007/s00211-025-01477-4","title":"Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension","display_name":"Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension","publication_year":2025,"publication_date":"2025-08-01","ids":{"openalex":"https://openalex.org/W4413041725","doi":"https://doi.org/10.1007/s00211-025-01477-4"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-025-01477-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-025-01477-4","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":["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/A5073230253","display_name":"Klaus Deckelnick","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Klaus Deckelnick","raw_affiliation_strings":["Institut f\u00fcr Analysis und Numerik, Otto-von-Guericke-Universit\u00e4t Magdeburg, 39106, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Analysis und Numerik, Otto-von-Guericke-Universit\u00e4t Magdeburg, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036622790","display_name":"Robert N\u00fcrnberg","orcid":"https://orcid.org/0000-0002-2489-2416"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Robert N\u00fcrnberg","raw_affiliation_strings":["Dipartimento di Mathematica, Universit\u00e0 di Trento, 38123, Trento, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Mathematica, Universit\u00e0 di Trento, 38123, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036622790"],"corresponding_institution_ids":["https://openalex.org/I193223587"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.7875,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.90087622,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"157","issue":"4","first_page":"1313","last_page":"1346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9979000091552734,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9923999905586243,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9902999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8140480518341064},{"id":"https://openalex.org/keywords/codimension","display_name":"Codimension","score":0.6386052966117859},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6257718205451965},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5815850496292114},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.533283531665802},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.5245497226715088},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.46824419498443604},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4664057791233063},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.44242241978645325},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2026827335357666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0976913571357727},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.057543814182281494}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8140480518341064},{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.6386052966117859},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6257718205451965},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5815850496292114},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.533283531665802},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5245497226715088},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.46824419498443604},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4664057791233063},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.44242241978645325},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2026827335357666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0976913571357727},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.057543814182281494},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-025-01477-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-025-01477-4","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:iris.unitn.it:11572/461272","is_oa":false,"landing_page_url":"https://hdl.handle.net/11572/461272","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1498500832","https://openalex.org/W1553761880","https://openalex.org/W1878888900","https://openalex.org/W1968082077","https://openalex.org/W1970009482","https://openalex.org/W1970474851","https://openalex.org/W1979234362","https://openalex.org/W1989835079","https://openalex.org/W1992721603","https://openalex.org/W2000751380","https://openalex.org/W2006646214","https://openalex.org/W2010432344","https://openalex.org/W2017334281","https://openalex.org/W2027016266","https://openalex.org/W2047378168","https://openalex.org/W2049361015","https://openalex.org/W2049876473","https://openalex.org/W2051917325","https://openalex.org/W2061871850","https://openalex.org/W2085945334","https://openalex.org/W2092080525","https://openalex.org/W2092509712","https://openalex.org/W2104175090","https://openalex.org/W2111459897","https://openalex.org/W2115218270","https://openalex.org/W2903314822","https://openalex.org/W2923128275","https://openalex.org/W3127308494","https://openalex.org/W3209780968","https://openalex.org/W4309074424","https://openalex.org/W4387507953","https://openalex.org/W4391970419","https://openalex.org/W4398764707","https://openalex.org/W4406335756"],"related_works":["https://openalex.org/W1861797342","https://openalex.org/W2950310075","https://openalex.org/W4366459492","https://openalex.org/W2952962099","https://openalex.org/W1725899776","https://openalex.org/W2011180239","https://openalex.org/W2564990357","https://openalex.org/W3020535784","https://openalex.org/W1846433012","https://openalex.org/W391927469"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
