{"id":"https://openalex.org/W2523884417","doi":"https://doi.org/10.1137/15m1050082","title":"Locking-Free Finite Element Methods for Poroelasticity","display_name":"Locking-Free Finite Element Methods for Poroelasticity","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2523884417","doi":"https://doi.org/10.1137/15m1050082","mag":"2523884417"},"language":"en","primary_location":{"id":"doi:10.1137/15m1050082","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1050082","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/A5017852449","display_name":"Ricardo Oyarz\u00faa","orcid":"https://orcid.org/0000-0003-0536-4674"},"institutions":[{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Ricardo Oyarz\u00faa","raw_affiliation_strings":["Universidad Del Bio-Bio"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Del Bio-Bio","institution_ids":["https://openalex.org/I221450849"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042374611","display_name":"Ricardo Ru\u00edz-Baier","orcid":"https://orcid.org/0000-0003-3144-5822"},"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":"Ricardo Ruiz-Baier","raw_affiliation_strings":["University of Oxford"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.7053,"has_fulltext":false,"cited_by_count":123,"citation_normalized_percentile":{"value":0.92769844,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"54","issue":"5","first_page":"2951","last_page":"2973"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9980000257492065,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/biot-number","display_name":"Biot number","score":0.8262661099433899},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8138819932937622},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.6535170078277588},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.644393801689148},{"id":"https://openalex.org/keywords/poromechanics","display_name":"Poromechanics","score":0.6137858033180237},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5330846309661865},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.4317760467529297},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35754650831222534},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.31683993339538574},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.14340510964393616},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.13863888382911682},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09048125147819519},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08969047665596008}],"concepts":[{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.8262661099433899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8138819932937622},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.6535170078277588},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.644393801689148},{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.6137858033180237},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5330846309661865},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.4317760467529297},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35754650831222534},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.31683993339538574},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.14340510964393616},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.13863888382911682},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09048125147819519},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08969047665596008},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1050082","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1050082","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:ora.ox.ac.uk:uuid:9c4878ad-fd8a-4c73-bed8-7e778907f900","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:9c4878ad-fd8a-4c73-bed8-7e778907f900","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5136694873","display_name":null,"funder_award_id":"ACT1118","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1429555026","https://openalex.org/W1586623601","https://openalex.org/W1822379141","https://openalex.org/W1912796720","https://openalex.org/W1969540877","https://openalex.org/W1977727715","https://openalex.org/W1983324629","https://openalex.org/W2011975592","https://openalex.org/W2012342503","https://openalex.org/W2033610740","https://openalex.org/W2033742022","https://openalex.org/W2040910350","https://openalex.org/W2052411681","https://openalex.org/W2053463427","https://openalex.org/W2054320706","https://openalex.org/W2058008892","https://openalex.org/W2059119426","https://openalex.org/W2060471433","https://openalex.org/W2063449610","https://openalex.org/W2073777702","https://openalex.org/W2075954740","https://openalex.org/W2091380698","https://openalex.org/W2101743932","https://openalex.org/W2120916522","https://openalex.org/W2133490810","https://openalex.org/W2145181004","https://openalex.org/W2145934255","https://openalex.org/W2147334976","https://openalex.org/W2148060625","https://openalex.org/W2160127452","https://openalex.org/W2169575140","https://openalex.org/W2460541234","https://openalex.org/W2496521767","https://openalex.org/W4254697896"],"related_works":["https://openalex.org/W4390465241","https://openalex.org/W2059677665","https://openalex.org/W2735211706","https://openalex.org/W2894257416","https://openalex.org/W57719583","https://openalex.org/W1976747621","https://openalex.org/W2087488124","https://openalex.org/W2016304518","https://openalex.org/W2808572609","https://openalex.org/W4253934351"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,7,27,66],"new":[3],"formulation":[4],"along":[5],"with":[6],"family":[8],"of":[9,16,26,38,45,62,77,90],"finite":[10],"element":[11],"schemes":[12],"for":[13],"the":[14,17,39,71,78,84,91],"approximation":[15],"interaction":[18],"between":[19],"fluid":[20],"motion":[21],"and":[22,48,51,54,87],"linear":[23],"mechanical":[24],"response":[25],"porous":[28],"medium,":[29],"known":[30],"as":[31,59],"Biot's":[32],"consolidation":[33],"problem.":[34],"The":[35],"steady-state":[36],"version":[37],"system":[40],"is":[41],"recast":[42],"in":[43],"terms":[44],"displacement,":[46],"pressure,":[47],"volumetric":[49],"stress,":[50],"both":[52],"continuous":[53],"discrete":[55],"formulations":[56],"are":[57,74],"analyzed":[58],"compact":[60],"perturbations":[61],"invertible":[63],"problems":[64],"employing":[65],"Fredholm":[67],"argument.":[68],"In":[69],"particular,":[70],"error":[72],"estimates":[73],"derived":[75],"independently":[76],"Lam\u00e9":[79],"constants.":[80],"Numerical":[81],"results":[82],"indicate":[83],"satisfactory":[85],"performance":[86],"competitive":[88],"accuracy":[89],"introduced":[92],"methods.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
