{"id":"https://openalex.org/W1993341030","doi":"https://doi.org/10.1137/070703703","title":"A Composite Mixed Finite Element for Hexahedral Grids","display_name":"A Composite Mixed Finite Element for Hexahedral Grids","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1993341030","doi":"https://doi.org/10.1137/070703703","mag":"1993341030"},"language":"en","primary_location":{"id":"doi:10.1137/070703703","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070703703","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5009841178","display_name":"Amel Sboui","orcid":"https://orcid.org/0000-0001-7980-0796"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Amel Sboui","raw_affiliation_strings":["Amel.Sboui@andra.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Amel.Sboui@andra.fr#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000566641","display_name":"J\u00e9r\u00f4me Jaffr\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00f4me Jaffr\u00e9","raw_affiliation_strings":["Jerome.Jaffre@inria.fr and Jean.Roberts@inria.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jerome.Jaffre@inria.fr and Jean.Roberts@inria.fr#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110738198","display_name":"Jean E. Roberts","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean Roberts","raw_affiliation_strings":["Parameter estimation and modeling in heterogeneous media"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Parameter estimation and modeling in heterogeneous media","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009841178"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4234,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.81113128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"4","first_page":"2623","last_page":"2645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hexahedron","display_name":"Hexahedron","score":0.9352861642837524},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.8323001861572266},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7222205996513367},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7211262583732605},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.6544585227966309},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6000359058380127},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.5355787873268127},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5084573030471802},{"id":"https://openalex.org/keywords/smoothed-finite-element-method","display_name":"Smoothed finite element method","score":0.4649096429347992},{"id":"https://openalex.org/keywords/finite-element-limit-analysis","display_name":"Finite element limit analysis","score":0.45712608098983765},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.4546336531639099},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4439351558685303},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4195534288883209},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3951861560344696},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.382260799407959},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23089995980262756},{"id":"https://openalex.org/keywords/boundary-knot-method","display_name":"Boundary knot method","score":0.22211450338363647},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1729917824268341},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09161233901977539}],"concepts":[{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.9352861642837524},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.8323001861572266},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7222205996513367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7211262583732605},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.6544585227966309},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6000359058380127},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.5355787873268127},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5084573030471802},{"id":"https://openalex.org/C177605945","wikidata":"https://www.wikidata.org/wiki/Q11007230","display_name":"Smoothed finite element method","level":5,"score":0.4649096429347992},{"id":"https://openalex.org/C93949632","wikidata":"https://www.wikidata.org/wiki/Q5450392","display_name":"Finite element limit analysis","level":4,"score":0.45712608098983765},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.4546336531639099},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4439351558685303},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4195534288883209},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3951861560344696},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.382260799407959},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23089995980262756},{"id":"https://openalex.org/C52890695","wikidata":"https://www.wikidata.org/wiki/Q4949966","display_name":"Boundary knot method","level":4,"score":0.22211450338363647},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1729917824268341},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09161233901977539},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/070703703","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070703703","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.162.852","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.162.852","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-roc.inria.fr/~jaffre/papiers/2009SbouiJaffreRobertsSISC.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00945012v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-00945012","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 2009, 31, 4, pp.2623-2645. &#x27E8;10.1137/070703703&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1528626831","https://openalex.org/W1565478047","https://openalex.org/W2017561505","https://openalex.org/W2040933131","https://openalex.org/W2051682834","https://openalex.org/W2052894907","https://openalex.org/W2062618977","https://openalex.org/W2064909895","https://openalex.org/W2172016689","https://openalex.org/W2464997744","https://openalex.org/W4255766534"],"related_works":["https://openalex.org/W1567939749","https://openalex.org/W1977906733","https://openalex.org/W2367880982","https://openalex.org/W1573186872","https://openalex.org/W2165887158","https://openalex.org/W2134127411","https://openalex.org/W2350502375","https://openalex.org/W4232326348","https://openalex.org/W3196813885","https://openalex.org/W2021654023"],"abstract_inverted_index":{"A":[0],"new":[1],"mixed":[2],"finite":[3,18],"element":[4,19],"method":[5],"on":[6],"three-dimensional":[7],"hexahedral":[8],"meshes":[9],"for":[10],"second":[11],"order":[12],"elliptic":[13],"problems":[14],"is":[15,20,25,34],"proposed.":[16],"This":[17],"a":[21,37],"composite":[22],"element.":[23],"It":[24],"shown":[26],"to":[27,36],"have":[28],"optimal":[29],"convergence":[30],"properties,":[31],"and":[32],"it":[33],"applied":[35],"hydrogeology":[38],"problem.":[39]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}
