{"id":"https://openalex.org/W4411169160","doi":"https://doi.org/10.1090/mcom/4117","title":"The Adini finite element on locally refined meshes","display_name":"The Adini finite element on locally refined meshes","publication_year":2025,"publication_date":"2025-06-10","ids":{"openalex":"https://openalex.org/W4411169160","doi":"https://doi.org/10.1090/mcom/4117"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4117","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4117","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035829145","display_name":"Dietmar Gallistl","orcid":"https://orcid.org/0000-0001-8954-4175"},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"D. Gallistl","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Jena, 07743 Jena, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Jena, 07743 Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035829145"],"corresponding_institution_ids":["https://openalex.org/I76198965"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11810706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"95","issue":"361","first_page":"2129","last_page":"2153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9986000061035156,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8447818756103516},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8327864408493042},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7680493593215942},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.5030767321586609},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.45210832357406616},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3183210492134094},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.15034136176109314},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.0833088755607605},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.038900017738342285}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8447818756103516},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8327864408493042},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7680493593215942},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.5030767321586609},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.45210832357406616},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3183210492134094},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.15034136176109314},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0833088755607605},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.038900017738342285},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/4117","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4117","pdf_url":null,"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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W28084739","https://openalex.org/W253824085","https://openalex.org/W1925258148","https://openalex.org/W2029129352","https://openalex.org/W2033790182","https://openalex.org/W2066976371","https://openalex.org/W2110176271","https://openalex.org/W2127010249","https://openalex.org/W2502190749","https://openalex.org/W2963027749","https://openalex.org/W3204708751","https://openalex.org/W4387947368","https://openalex.org/W4404567186"],"related_works":["https://openalex.org/W2017968036","https://openalex.org/W2752501457","https://openalex.org/W2376992165","https://openalex.org/W3016132316","https://openalex.org/W1601688333","https://openalex.org/W3174219354","https://openalex.org/W2171421712","https://openalex.org/W3106617480","https://openalex.org/W2784995402","https://openalex.org/W2056259617"],"abstract_inverted_index":{"This":[0],"work":[1],"introduces":[2],"a":[3,99,119],"locally":[4],"refined":[5,110],"version":[6],"of":[7,31,50,84,127,140],"the":[8,13,32,46,53,60,85,89,94,115,123,137,141],"Adini":[9],"finite":[10],"element":[11],"for":[12,37,67,75],"planar":[14],"biharmonic":[15],"equation":[16],"on":[17,108],"rectangular":[18],"partitions":[19,72],"with":[20],"at":[21,52,88],"most":[22],"one":[23],"hanging":[24,54],"node":[25],"per":[26],"edge.":[27],"If":[28],"global":[29],"continuity":[30],"discrete":[33],"functions":[34],"is":[35,41,57,73,93],"enforced,":[36],"such":[38,77],"method":[39,116],"there":[40],"some":[42],"freedom":[43,51],"in":[44],"assigning":[45,81],"normal":[47,86],"derivative":[48],"degree":[49],"nodes.":[55],"It":[56],"proven":[58],"that":[59,80,97],"convergence":[61],"order":[62],"h":[63,103],"2":[64,106],"h^2":[65],"known":[66],"regular":[68,71,91],"solutions":[69],"and":[70,79,125],"lost":[74],"any":[76],"choice,":[78],"an":[82,128],"average":[83],"derivatives":[87],"neighbouring":[90],"vertices":[92],"only":[95],"choice":[96],"achieves":[98],"superlinear":[100],"order,":[101],"namely":[102],"3":[104],"/":[105],"h^{3/2}":[107],"uniformly":[109],"meshes.":[111],"On":[112],"adaptive":[113],"meshes,":[114],"behaves":[117],"like":[118],"first-order":[120],"scheme.":[121],"Furthermore,":[122],"reliability":[124],"efficiency":[126],"explicit":[129],"residual-based":[130],"error":[131],"estimator":[132],"are":[133],"shown":[134],"up":[135],"to":[136],"best":[138],"approximation":[139],"Hessian":[142],"by":[143],"certain":[144],"piecewise":[145],"polynomial":[146],"functions.":[147]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
