{"id":"https://openalex.org/W2963479940","doi":"https://doi.org/10.1137/16m1073352","title":"A Systematic Construction of Finite Element Commuting Exact Sequences","display_name":"A Systematic Construction of Finite Element Commuting Exact Sequences","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2963479940","doi":"https://doi.org/10.1137/16m1073352","mag":"2963479940"},"language":"en","primary_location":{"id":"doi:10.1137/16m1073352","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073352","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5091258269","display_name":"Bernardo Cockburn","orcid":"https://orcid.org/0000-0001-6085-3441"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bernardo Cockburn","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000943631","display_name":"Guosheng Fu","orcid":"https://orcid.org/0000-0002-4578-924X"},"institutions":[{"id":"https://openalex.org/I175594653","display_name":"John Brown University","ror":"https://ror.org/02ct41q97","country_code":"US","type":"education","lineage":["https://openalex.org/I175594653"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guosheng Fu","raw_affiliation_strings":["Brown University"],"affiliations":[{"raw_affiliation_string":"Brown University","institution_ids":["https://openalex.org/I175594653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091258269"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.5321,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.96904092,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"55","issue":"4","first_page":"1650","last_page":"1688"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.9868000149726868,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9842000007629395,"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/mathematics","display_name":"Mathematics","score":0.7733966112136841},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.6757129430770874},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.65302574634552},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6248277425765991},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.6193903684616089},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49502819776535034},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4741494059562683},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4712928831577301},{"id":"https://openalex.org/keywords/exact-sequence","display_name":"Exact sequence","score":0.46474689245224},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.4339090883731842},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3505227565765381},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3287840485572815},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.295555055141449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2877248525619507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09543412923812866},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06122589111328125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7733966112136841},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.6757129430770874},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.65302574634552},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6248277425765991},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.6193903684616089},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49502819776535034},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4741494059562683},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4712928831577301},{"id":"https://openalex.org/C25534917","wikidata":"https://www.wikidata.org/wiki/Q1326955","display_name":"Exact sequence","level":2,"score":0.46474689245224},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.4339090883731842},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3505227565765381},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3287840485572815},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.295555055141449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2877248525619507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09543412923812866},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06122589111328125},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1073352","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073352","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G5726640743","display_name":null,"funder_award_id":"DMS-1522657","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1673768543","https://openalex.org/W1779617503","https://openalex.org/W2001890369","https://openalex.org/W2002490936","https://openalex.org/W2031607020","https://openalex.org/W2032730144","https://openalex.org/W2051682834","https://openalex.org/W2054896264","https://openalex.org/W2062618977","https://openalex.org/W2064909895","https://openalex.org/W2088259936","https://openalex.org/W2128332944","https://openalex.org/W2129759952","https://openalex.org/W2135723931","https://openalex.org/W2138486270","https://openalex.org/W2168914934","https://openalex.org/W2169266183","https://openalex.org/W2318931849","https://openalex.org/W2339371798","https://openalex.org/W2666330546","https://openalex.org/W2963976667","https://openalex.org/W3099687355"],"related_works":["https://openalex.org/W1979053898","https://openalex.org/W2950356009","https://openalex.org/W4298355352","https://openalex.org/W841974380","https://openalex.org/W210150514","https://openalex.org/W251032604","https://openalex.org/W2766954413","https://openalex.org/W2997880474","https://openalex.org/W2929195172","https://openalex.org/W4283157621"],"abstract_inverted_index":{"We":[0,26,68],"present":[1],"a":[2,11],"systematic":[3],"construction":[4,29,71],"of":[5,37,52,61,79,97],"finite":[6],"element":[7],"exact":[8,38,53,62,80,98],"sequences":[9,39,63,81,99],"with":[10],"commuting":[12],"diagram":[13],"property":[14],"for":[15,40,44,55,64,82,85,89,100,103,107],"the":[16,28,70],"de":[17],"Rham":[18],"complex":[19],"in":[20,30,72],"one-,":[21],"two-,":[22],"and":[23,42,46,57,87,91,105],"three-space":[24,73],"dimensions.":[25],"apply":[27,69],"two-space":[31],"dimensions":[32,74],"to":[33,47,75,92],"rediscover":[34,76],"two":[35,58,77],"families":[36,60,78,96],"triangles":[41],"three":[43,84,102],"squares,":[45],"uncover":[48,93],"one":[49,88,106],"new":[50,59,95],"family":[51],"sequence":[54],"squares":[56],"general":[65],"polygonal":[66],"elements.":[67],"tetrahedra,":[83],"cubes,":[86],"prisms,":[90,104],"four":[94],"pyramids,":[101],"cubes.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
