{"id":"https://openalex.org/W4283075248","doi":"https://doi.org/10.1515/cmam-2022-0053","title":"Partially Discontinuous Nodal Finite Elements for \ud835\udc3b(curl) and \ud835\udc3b(div)","display_name":"Partially Discontinuous Nodal Finite Elements for \ud835\udc3b(curl) and \ud835\udc3b(div)","publication_year":2022,"publication_date":"2022-06-08","ids":{"openalex":"https://openalex.org/W4283075248","doi":"https://doi.org/10.1515/cmam-2022-0053"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2022-0053","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2022-0053","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2022-0053/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2022-0053/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028500115","display_name":"Jun Hu","orcid":"https://orcid.org/0000-0002-4565-3000"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Hu","raw_affiliation_strings":["LMAM and School of Mathematical Sciences , Peking University , Beijing 100871 , P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM and School of Mathematical Sciences , Peking University , Beijing 100871 , P. R. China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101998252","display_name":"Kaibo Hu","orcid":"https://orcid.org/0000-0001-9574-9644"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kaibo Hu","raw_affiliation_strings":["Mathematical Institute , University of Oxford , Andrew Wiles Building, Radcliffe Observatory Quarter , Oxford , OX2 6GG , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute , University of Oxford , Andrew Wiles Building, Radcliffe Observatory Quarter , Oxford , OX2 6GG , United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100401616","display_name":"Qian Zhang","orcid":"https://orcid.org/0000-0002-1503-193X"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Qian Zhang","raw_affiliation_strings":["Department of Mathematical Sciences , Michigan Technological University , Houghton , MI 49931 , USA"],"raw_orcid":"https://orcid.org/0000-0002-1503-193X","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , Michigan Technological University , Houghton , MI 49931 , USA","institution_ids":["https://openalex.org/I11957088"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100401616"],"corresponding_institution_ids":["https://openalex.org/I11957088"],"apc_list":null,"apc_paid":null,"fwci":0.3752,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.56128866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"22","issue":"3","first_page":"613","last_page":"629"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9990000128746033,"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":0.9990000128746033,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9793000221252441,"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"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.95169997215271,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/curl","display_name":"Curl (programming language)","score":0.7902952432632446},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.6140633821487427},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44703733921051025},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40905871987342834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40307849645614624},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3218863904476166},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27721741795539856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09700796008110046}],"concepts":[{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.7902952432632446},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.6140633821487427},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44703733921051025},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40905871987342834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40307849645614624},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3218863904476166},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27721741795539856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09700796008110046},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/cmam-2022-0053","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2022-0053","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2022-0053/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.mtu.edu:michigantech-p-35460","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/michigantech-p/16160","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Michigan Tech Publications, Part 1","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1515/cmam-2022-0053","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2022-0053","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2022-0053/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283075248.pdf","grobid_xml":"https://content.openalex.org/works/W4283075248.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W209576205","https://openalex.org/W592911714","https://openalex.org/W629836974","https://openalex.org/W1522589176","https://openalex.org/W1985861577","https://openalex.org/W1990083464","https://openalex.org/W1999760358","https://openalex.org/W2002798705","https://openalex.org/W2007903663","https://openalex.org/W2023930096","https://openalex.org/W2026508393","https://openalex.org/W2029147772","https://openalex.org/W2050496851","https://openalex.org/W2051799546","https://openalex.org/W2058241749","https://openalex.org/W2063581353","https://openalex.org/W2064909895","https://openalex.org/W2067621714","https://openalex.org/W2106082468","https://openalex.org/W2130010995","https://openalex.org/W2138486270","https://openalex.org/W2143396648","https://openalex.org/W2152189126","https://openalex.org/W2159126240","https://openalex.org/W2163470797","https://openalex.org/W2321705828","https://openalex.org/W2533804853","https://openalex.org/W2549082561","https://openalex.org/W2906022956","https://openalex.org/W2911441929","https://openalex.org/W2963177319","https://openalex.org/W2963374982","https://openalex.org/W2963397795","https://openalex.org/W2972839478","https://openalex.org/W2998796568","https://openalex.org/W3011045723","https://openalex.org/W3046224211","https://openalex.org/W3080196891","https://openalex.org/W3125933139","https://openalex.org/W3127239180","https://openalex.org/W3141988484","https://openalex.org/W4206829931","https://openalex.org/W4242566991"],"related_works":["https://openalex.org/W2382844561","https://openalex.org/W2083529992","https://openalex.org/W816511862","https://openalex.org/W2238883956","https://openalex.org/W2948362504","https://openalex.org/W2643941443","https://openalex.org/W2047855059","https://openalex.org/W3012106957","https://openalex.org/W1990694555","https://openalex.org/W4230140816"],"abstract_inverted_index":{"Abstract":[0],"We":[1,79],"investigate":[2],"the":[3],"discretization":[4],"of":[5,67],"<m:math":[6,22],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[7,23],"<m:mrow>":[8,11,24,27],"<m:mi>H</m:mi>":[9,25],"<m:mo>\u2062</m:mo>":[10,26],"<m:mo":[12,15,28,31],"stretchy=\"false\">(</m:mo>":[13,29],"<m:mi>curl</m:mi>":[14],"stretchy=\"false\">)</m:mo>":[16,32],"</m:mrow>":[17,18,33,34],"</m:math>":[19,35],"H(\\mathrm{curl})":[20],"and":[21,39,69,73],"<m:mi>div</m:mi>":[30],"H(\\mathrm{div})":[36],"in":[37,56,75],"two":[38],"three":[40],"space":[41],"dimensions":[42],"by":[43],"partially":[44],"discontinuous":[45,70],"nodal":[46,82],"finite":[47,52],"elements,":[48],"i.e.,":[49],"vector-valued":[50],"Lagrange":[51,71],"elements":[53,72],"with":[54],"discontinuity":[55],"certain":[57],"directions.":[58],"These":[59],"spaces":[60],"can":[61],"be":[62],"implemented":[63],"as":[64],"a":[65],"combination":[66],"continuous":[68],"fit":[74],"de":[76],"Rham":[77],"complexes.":[78],"construct":[80],"well-conditioned":[81],"bases.":[83]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
