{"id":"https://openalex.org/W2567683992","doi":"https://doi.org/10.1090/mcom/3152","title":"Minimal degree \ud835\udc3b(]olf) and H(^cp) conforming finite elements on polytopal meshes","display_name":"Minimal degree \ud835\udc3b(]olf) and H(^cp) conforming finite elements on polytopal meshes","publication_year":2016,"publication_date":"2016-03-09","ids":{"openalex":"https://openalex.org/W2567683992","doi":"https://doi.org/10.1090/mcom/3152","mag":"2567683992"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3152","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3152","pdf_url":"https://www.ams.org/mcom/2017-86-307/S0025-5718-2016-03152-X/S0025-5718-2016-03152-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2017-86-307/S0025-5718-2016-03152-X/S0025-5718-2016-03152-X.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100693236","display_name":"Wenbin Chen","orcid":"https://orcid.org/0000-0001-8305-0764"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenbin Chen","raw_affiliation_strings":["Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, People\u00e2\u0080\u0099s Republic of China","Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100659878","display_name":"Yanqiu Wang","orcid":"https://orcid.org/0000-0003-4783-1920"},"institutions":[{"id":"https://openalex.org/I115475287","display_name":"Oklahoma State University","ror":"https://ror.org/01g9vbr38","country_code":"US","type":"education","lineage":["https://openalex.org/I115475287"]},{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Yanqiu Wang","raw_affiliation_strings":["Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74074","School of Mathematical Sciences, Nanjing Normal University, Nanjing, People\u00e2\u0080\u0099s Republic of China","School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74074","institution_ids":["https://openalex.org/I115475287"]},{"raw_affiliation_string":"School of Mathematical Sciences, Nanjing Normal University, Nanjing, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"School of Mathematical Sciences, Nanjing Normal University, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2142,"has_fulltext":true,"cited_by_count":43,"citation_normalized_percentile":{"value":0.94570136,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"86","issue":"307","first_page":"2053","last_page":"2087"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9995999932289124,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9995999932289124,"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":0.9994999766349792,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.8270266056060791},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8267485499382019},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6758042573928833},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5922813415527344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4269169569015503},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36889025568962097},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2546921372413635},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07803377509117126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06631618738174438}],"concepts":[{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.8270266056060791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8267485499382019},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6758042573928833},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5922813415527344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4269169569015503},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36889025568962097},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2546921372413635},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07803377509117126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06631618738174438},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3152","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3152","pdf_url":"https://www.ams.org/mcom/2017-86-307/S0025-5718-2016-03152-X/S0025-5718-2016-03152-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/mcom/3152","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3152","pdf_url":"https://www.ams.org/mcom/2017-86-307/S0025-5718-2016-03152-X/S0025-5718-2016-03152-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G179464631","display_name":null,"funder_award_id":"91130004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3734671938","display_name":null,"funder_award_id":"B08018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4832448216","display_name":null,"funder_award_id":"11331004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5564133710","display_name":null,"funder_award_id":"B08018","funder_id":"https://openalex.org/F4320321978","funder_display_name":"State Administration of Foreign Experts Affairs"},{"id":"https://openalex.org/G5740527225","display_name":null,"funder_award_id":"11171077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6119115988","display_name":null,"funder_award_id":"B08018","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G7071190101","display_name":null,"funder_award_id":"11671098","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7533197517","display_name":null,"funder_award_id":"B08018","funder_id":"https://openalex.org/F4320321106","funder_display_name":"Ministry of Education of the People's Republic of China"},{"id":"https://openalex.org/G790545978","display_name":null,"funder_award_id":"11671210","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320321851","display_name":"Fudan University","ror":"https://ror.org/013q1eq08"},{"id":"https://openalex.org/F4320321978","display_name":"State Administration of Foreign Experts Affairs","ror":"https://ror.org/055gka453"},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2567683992.pdf","grobid_xml":"https://content.openalex.org/works/W2567683992.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W185763757","https://openalex.org/W603762250","https://openalex.org/W1492451367","https://openalex.org/W1522382323","https://openalex.org/W1544007752","https://openalex.org/W1965816824","https://openalex.org/W1983020550","https://openalex.org/W1992923859","https://openalex.org/W2002769845","https://openalex.org/W2007606647","https://openalex.org/W2009940960","https://openalex.org/W2010441082","https://openalex.org/W2021167140","https://openalex.org/W2022525937","https://openalex.org/W2032479492","https://openalex.org/W2042733830","https://openalex.org/W2045046439","https://openalex.org/W2051752778","https://openalex.org/W2053085101","https://openalex.org/W2062618977","https://openalex.org/W2064198982","https://openalex.org/W2064909895","https://openalex.org/W2074040062","https://openalex.org/W2089142741","https://openalex.org/W2093709444","https://openalex.org/W2097475444","https://openalex.org/W2097964994","https://openalex.org/W2099760642","https://openalex.org/W2117709682","https://openalex.org/W2125537373","https://openalex.org/W2135744173","https://openalex.org/W2138486270","https://openalex.org/W2161308130","https://openalex.org/W2163140358","https://openalex.org/W2164011111","https://openalex.org/W2165075232","https://openalex.org/W2168914934","https://openalex.org/W2169266183","https://openalex.org/W2169464027","https://openalex.org/W2172016689","https://openalex.org/W2199169705","https://openalex.org/W2328294984","https://openalex.org/W2402240228","https://openalex.org/W3099031914","https://openalex.org/W3103476862","https://openalex.org/W3106057804","https://openalex.org/W3149667697","https://openalex.org/W3209870235","https://openalex.org/W4233387241","https://openalex.org/W4242566991"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2382844561","https://openalex.org/W2083529992","https://openalex.org/W816511862","https://openalex.org/W1557607869","https://openalex.org/W2238883956","https://openalex.org/W2366350639","https://openalex.org/W2948362504","https://openalex.org/W2643941443","https://openalex.org/W2047855059"],"abstract_inverted_index":{"We":[0],"construct":[1],"<inline-formula":[2,44,168,210],"content-type=\"math/mathml\">":[3,45,169,211],"<mml:math":[4,46,170,212],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5,47,171,213],"alttext=\"upper":[6,48,172,214],"H":[7,49,173,215],"left-parenthesis":[8,50,174,216],"normal":[9,11,13,15,51,53,55,175,177,179,181,217,219,221],"c":[10,176],"u":[12,178],"r":[14,180],"l":[16,182],"right-parenthesis\">":[17,57,183,223],"<mml:semantics>":[18,58,184,224],"<mml:mrow>":[19,59,185,225],"<mml:mi>H</mml:mi>":[20,60,186,226],"<mml:mo":[21,34,61,72,187,200,227,238],"stretchy=\"false\">(</mml:mo>":[22,62,188,228],"<mml:mrow":[23,63,189,229],"class=\"MJX-TeXAtom-ORD\">":[24,64,190,230],"<mml:mi":[25,27,29,31,65,67,69,191,193,195,197,231,233,235],"mathvariant=\"normal\">c</mml:mi>":[26,192],"mathvariant=\"normal\">u</mml:mi>":[28,194],"mathvariant=\"normal\">r</mml:mi>":[30,196],"mathvariant=\"normal\">l</mml:mi>":[32,198],"</mml:mrow>":[33,36,71,74,199,202,237,240],"stretchy=\"false\">)</mml:mo>":[35,73,201,239],"<mml:annotation":[37,75,203,241],"encoding=\"application/x-tex\">H(\\mathrm":[38,76,204,242],"{curl})</mml:annotation>":[39,205],"</mml:semantics>":[40,78,206,244],"</mml:math>":[41,79,207,245],"</inline-formula>":[42,80,208,246],"and":[43,87,122,253,283],"d":[52,218],"i":[54,220],"v":[56,222],"mathvariant=\"normal\">d</mml:mi>":[66,232],"mathvariant=\"normal\">i</mml:mi>":[68,234],"mathvariant=\"normal\">v</mml:mi>":[70,236],"{div})</mml:annotation>":[77,243],"conforming":[81],"finite":[82,149],"elements":[83,150,247,262,273,279],"on":[84,118,162,248,280],"convex":[85],"polygons":[86,282],"polyhedra":[88],"with":[89],"minimal":[90],"possible":[91],"degrees":[92,99],"of":[93,98,100,107,111,133,259,276],"freedom,":[94],"i.e.,":[95],"the":[96,105,112,123,131,134,159,260,269,277],"number":[97,106],"freedom":[101],"is":[102,116,263],"equal":[103],"to":[104,158],"edges":[108],"or":[109,139],"faces":[110,132],"polygon/polyhedron.":[113],"The":[114,148,256],"construction":[115],"based":[117],"generalized":[119],"barycentric":[120],"coordinates":[121],"Whitney":[124],"forms.":[125],"In":[126],"3D,":[127],"it":[128],"currently":[129],"requires":[130],"polyhedron":[135],"be":[136],"either":[137],"triangles":[138],"parallelograms.":[140],"Formulas":[141],"for":[142],"computing":[143],"basis":[144],"functions":[145],"are":[146,274],"given.":[147],"satisfy":[151],"discrete":[152],"de":[153],"Rham":[154],"sequences":[155],"in":[156],"analogy":[157],"well-known":[160],"ones":[161],"simplices.":[163],"Moreover,":[164],"they":[165],"reproduce":[166],"existing":[167],"-":[209],"simplices,":[249],"parallelograms,":[250],"parallelepipeds,":[251],"pyramids":[252],"triangular":[254],"prisms.":[255],"approximation":[257],"property":[258],"constructed":[261,278],"also":[264],"analyzed":[265],"by":[266],"showing":[267],"that":[268],"lowest-order":[270],"simplicial":[271],"N\u00e9d\u00e9lec-Raviart-Thomas":[272],"subsets":[275],"arbitrary":[281],"certain":[284],"polyhedra.":[285]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}