{"id":"https://openalex.org/W4380685197","doi":"https://doi.org/10.1007/s10444-023-10047-x","title":"New degrees of freedom for differential forms on cubical meshes","display_name":"New degrees of freedom for differential forms on cubical meshes","publication_year":2023,"publication_date":"2023-06-01","ids":{"openalex":"https://openalex.org/W4380685197","doi":"https://doi.org/10.1007/s10444-023-10047-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-023-10047-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-023-10047-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-023-10047-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10444-023-10047-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044588427","display_name":"Jonni Lohi","orcid":null},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Jonni Lohi","raw_affiliation_strings":["Faculty of Information Technology, University of Jyv\u00e4skyl\u00e4, PO Box 35, FI-40014, Jyv\u00e4skyl\u00e4, Finland"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, University of Jyv\u00e4skyl\u00e4, PO Box 35, FI-40014, Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044588427"],"corresponding_institution_ids":["https://openalex.org/I94722563"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.3322,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53166291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"49","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9884999990463257,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9851999878883362,"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/polygon-mesh","display_name":"Polygon mesh","score":0.8418269157409668},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.7868205904960632},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7574581503868103},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.685181200504303},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.575788140296936},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.4858946204185486},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.48437198996543884},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4155784845352173},{"id":"https://openalex.org/keywords/differential-form","display_name":"Differential form","score":0.41241782903671265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.21804922819137573},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21170157194137573},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04539331793785095}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8418269157409668},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.7868205904960632},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7574581503868103},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.685181200504303},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.575788140296936},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.4858946204185486},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.48437198996543884},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4155784845352173},{"id":"https://openalex.org/C115071613","wikidata":"https://www.wikidata.org/wiki/Q1047080","display_name":"Differential form","level":2,"score":0.41241782903671265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.21804922819137573},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21170157194137573},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04539331793785095},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-023-10047-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-023-10047-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-023-10047-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:jyx.jyu.fi:123456789/87869","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-023-10047-x\"","pdf_url":"http://urn.fi/URN:NBN:fi:jyu-202306163924","source":{"id":"https://openalex.org/S4306400563","display_name":"Jyv\u00e4skyl\u00e4 University Digital Archive (University of Jyv\u00e4skyl\u00e4)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I94722563","host_organization_name":"University of Jyv\u00e4skyl\u00e4","host_organization_lineage":["https://openalex.org/I94722563"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"A1"}],"best_oa_location":{"id":"doi:10.1007/s10444-023-10047-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-023-10047-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-023-10047-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7799999713897705}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323168","display_name":"Jyv\u00e4skyl\u00e4n Yliopisto","ror":"https://ror.org/05n3dz165"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4380685197.pdf"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1522382323","https://openalex.org/W2100642599","https://openalex.org/W2120684650","https://openalex.org/W2138486270","https://openalex.org/W2151280482","https://openalex.org/W2169266183","https://openalex.org/W2751576761","https://openalex.org/W3134909915","https://openalex.org/W3165217059","https://openalex.org/W4223986983"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2087496541","https://openalex.org/W2108615321","https://openalex.org/W3008280136","https://openalex.org/W1875531355","https://openalex.org/W4312108548","https://openalex.org/W2223375987"],"abstract_inverted_index":{"Abstract":[0],"We":[1,40],"consider":[2],"new":[3],"degrees":[4,34,65],"of":[5,22,35,66],"freedom":[6,36],"for":[7],"higher":[8,28,43,83],"order":[9,29,44,84],"differential":[10,45],"forms":[11,31,46],"on":[12,47,86,94],"cubical":[13,48,87],"meshes.":[14],"The":[15],"approach":[16,70],"is":[17,71],"inspired":[18],"by":[19],"the":[20,79,90],"idea":[21],"Rapetti":[23],"and":[24,32,57,77],"Bossavit":[25],"to":[26,81],"define":[27],"Whitney":[30],"their":[33],"using":[37,54],"small":[38,55,61],"simplices.":[39,95],"show":[41],"that":[42,59],"meshes":[49],"can":[50],"be":[51],"defined":[52],"analogously":[53],"cubes":[56,62],"prove":[58],"these":[60],"yield":[63],"unisolvent":[64],"freedom.":[67],"Importantly,":[68],"this":[69],"compatible":[72],"with":[73],"discrete":[74],"exterior":[75],"calculus":[76],"expands":[78],"framework":[80],"cover":[82],"methods":[85],"meshes,":[88],"complementing":[89],"earlier":[91],"strategy":[92],"based":[93]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}