{"id":"https://openalex.org/W1178253030","doi":"https://doi.org/10.1137/140990103","title":"A Staggered Cell-Centered Finite Element Method for Compressible and Nearly-Incompressible Linear Elasticity on General Meshes","display_name":"A Staggered Cell-Centered Finite Element Method for Compressible and Nearly-Incompressible Linear Elasticity on General Meshes","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1178253030","doi":"https://doi.org/10.1137/140990103","mag":"1178253030"},"language":"en","primary_location":{"id":"doi:10.1137/140990103","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140990103","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/A5044127819","display_name":"Thanh Hai Ong","orcid":"https://orcid.org/0000-0002-9706-3109"},"institutions":[{"id":"https://openalex.org/I23582244","display_name":"Ho Chi Minh City University of Science","ror":"https://ror.org/05jfbgm49","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I23582244"]},{"id":"https://openalex.org/I123565023","display_name":"Vietnam National University Ho Chi Minh City","ror":"https://ror.org/00waaqh38","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Thanh Hai Ong","raw_affiliation_strings":["University of Natural Sciences-VNU-HCM"],"affiliations":[{"raw_affiliation_string":"University of Natural Sciences-VNU-HCM","institution_ids":["https://openalex.org/I23582244","https://openalex.org/I123565023"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112303435","display_name":"Thi Thao Phuong Hoang","orcid":null},"institutions":[{"id":"https://openalex.org/I47265099","display_name":"Ho Chi Minh City University of Technology","ror":"https://ror.org/04qva2324","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I47265099"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Thi Thao Phuong Hoang","raw_affiliation_strings":["Ho Chi Minh city University of Pedagogy"],"affiliations":[{"raw_affiliation_string":"Ho Chi Minh city University of Pedagogy","institution_ids":["https://openalex.org/I47265099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027163198","display_name":"St\u00e9phane Bordas","orcid":"https://orcid.org/0000-0001-7622-2193"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"St\u00e9phane P.A. Bordas","raw_affiliation_strings":["University of Luxembourg > Faculty of Science, Technology and Communication (FSTC)  >  Engineering Research Unit"],"affiliations":[{"raw_affiliation_string":"University of Luxembourg > Faculty of Science, Technology and Communication (FSTC)  >  Engineering Research Unit","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080330988","display_name":"H. Nguyen\u2010Xuan","orcid":"https://orcid.org/0000-0002-1746-8297"},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"H. Nguyen-Xuan","raw_affiliation_strings":["China Medical University Taichung"],"affiliations":[{"raw_affiliation_string":"China Medical University Taichung","institution_ids":["https://openalex.org/I184693016"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044127819"],"corresponding_institution_ids":["https://openalex.org/I123565023","https://openalex.org/I23582244"],"apc_list":null,"apc_paid":null,"fwci":0.3344,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.59552408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"53","issue":"4","first_page":"2051","last_page":"2073"},"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":0.9986000061035156,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/mathematics","display_name":"Mathematics","score":0.7562260627746582},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7257997393608093},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7178663611412048},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5972028374671936},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5852027535438538},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5508454442024231},{"id":"https://openalex.org/keywords/linear-elasticity","display_name":"Linear elasticity","score":0.5487882494926453},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4809357523918152},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.47356927394866943},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4649331271648407},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4270515739917755},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41888192296028137},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4122544527053833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36508476734161377},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3039954900741577},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09350907802581787},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.056915342807769775}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7562260627746582},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7257997393608093},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7178663611412048},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5972028374671936},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5852027535438538},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5508454442024231},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.5487882494926453},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4809357523918152},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.47356927394866943},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4649331271648407},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4270515739917755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41888192296028137},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4122544527053833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36508476734161377},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3039954900741577},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09350907802581787},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.056915342807769775},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":2,"locations":[{"id":"doi:10.1137/140990103","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140990103","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"},{"id":"pmh:oai:orbilu.uni.lu:10993/34881","is_oa":false,"landing_page_url":"https://www.scopus.com/inward/record.uri?eid=2-s2.0-84941139918&doi=10.1137%2f140990103&partnerID=40&md5=22338d3326f9c0e403123c71b9888de0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"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 Numerical Analysis, 53(4), 2051-2073.  (2015).","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W193424050","https://openalex.org/W1983141992","https://openalex.org/W2004315766","https://openalex.org/W2014744421","https://openalex.org/W2021285092","https://openalex.org/W2027061160","https://openalex.org/W2027160064","https://openalex.org/W2037818443","https://openalex.org/W2038593061","https://openalex.org/W2039256875","https://openalex.org/W2041275437","https://openalex.org/W2044197214","https://openalex.org/W2049914863","https://openalex.org/W2068354712","https://openalex.org/W2070663975","https://openalex.org/W2070927576","https://openalex.org/W2072236487","https://openalex.org/W2084920195","https://openalex.org/W2089706379","https://openalex.org/W2093373264","https://openalex.org/W2093972904","https://openalex.org/W2144707832","https://openalex.org/W2164947120","https://openalex.org/W2475116443","https://openalex.org/W2963689550"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218","https://openalex.org/W4323366562","https://openalex.org/W1985120948"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,23,36,112],"new":[3],"numerical":[4],"method,":[5,141],"namely,":[6],"the":[7,30,41,51,56,62,72,81,84,93,97,101,105,124,133,140],"staggered":[8],"cell-centered":[9],"finite":[10],"element":[11],"method":[12,108],"for":[13,123],"compressible":[14],"and":[15,26,99,119,152],"nearly":[16,59,125],"incompressible":[17,60,126],"linear":[18,47],"elasticity":[19],"problems.":[20],"By":[21],"building":[22],"dual":[24,52,73,102],"mesh":[25,38,95,103],"its":[27],"triangular":[28],"submesh,":[29],"scheme":[31,76],"can":[32,86],"be":[33,87],"constructed":[34],"from":[35],"general":[37],"in":[39,55,80,148],"which":[40],"displacement":[42],"is":[43,64,77,109,129,146],"approximated":[44,65],"by":[45,66,89,131],"piecewise":[46,67],"(P1)":[48],"functions":[49,70],"on":[50,71],"submesh":[53],"and,":[54],"case":[57],"of":[58,92,100,150],"problems,":[61],"pressure":[63],"constant":[68],"(P0)":[69],"mesh.":[74],"The":[75,107],"cell":[78,90],"centered":[79],"sense":[82],"that":[83,139],"solution":[85],"computed":[88],"unknowns":[91],"primal":[94],"(for":[96,104],"displacement)":[98],"pressure).":[106],"presented":[110],"within":[111],"rigorous":[113],"theoretical":[114],"framework":[115],"to":[116],"show":[117,138],"stability":[118,128],"convergence.":[120],"In":[121],"particular,":[122],"case,":[127],"proved":[130],"using":[132],"macroelement":[134],"technique.":[135],"Numerical":[136],"results":[137],"compared":[142],"with":[143],"other":[144],"methods,":[145],"effective":[147],"terms":[149],"accuracy":[151],"computational":[153],"cost.":[154]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}