{"id":"https://openalex.org/W3204657013","doi":"https://doi.org/10.1137/21m1449695","title":"Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion","display_name":"Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion","publication_year":2023,"publication_date":"2023-06-12","ids":{"openalex":"https://openalex.org/W3204657013","doi":"https://doi.org/10.1137/21m1449695","mag":"3204657013"},"language":"en","primary_location":{"id":"doi:10.1137/21m1449695","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1449695","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2109.15006","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045344892","display_name":"Bryan G\u00f3mez-Vargas","orcid":"https://orcid.org/0000-0001-6068-4510"},"institutions":[{"id":"https://openalex.org/I31944674","display_name":"Universidad de Costa Rica","ror":"https://ror.org/02yzgww51","country_code":"CR","type":"education","lineage":["https://openalex.org/I31944674"]}],"countries":["CR"],"is_corresponding":false,"raw_author_name":"Bryan G\u00f3mez-Vargas","raw_affiliation_strings":["Secci\u00f3n de Matem\u00e1tica, Sede de Occidente, Universidad de Costa Rica, San Ram\u00f3n, Alajuela, Costa Rica"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Secci\u00f3n de Matem\u00e1tica, Sede de Occidente, Universidad de Costa Rica, San Ram\u00f3n, Alajuela, Costa Rica","institution_ids":["https://openalex.org/I31944674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016096840","display_name":"Kent\u2010Andr\u00e9 Mardal","orcid":"https://orcid.org/0000-0002-4946-1110"},"institutions":[{"id":"https://openalex.org/I2799829267","display_name":"Simula Research Laboratory","ror":"https://ror.org/00vn06n10","country_code":"NO","type":"facility","lineage":["https://openalex.org/I2799829267"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Kent-Andr\u00e9 Mardal","raw_affiliation_strings":["Department of Mathematics, Division of Mechanics, University of Oslo, Oslo, Norway; and Simula Research Laboratory, 1325 Lysaker, Norway","Simula Research Laboratory, 1325 Lysaker, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Division of Mechanics, University of Oslo, Oslo, Norway; and Simula Research Laboratory, 1325 Lysaker, Norway","institution_ids":["https://openalex.org/I2799829267"]},{"raw_affiliation_string":"Simula Research Laboratory, 1325 Lysaker, Norway","institution_ids":["https://openalex.org/I2799829267"]}]},{"author_position":"middle","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/I17877952","display_name":"Sechenov University","ror":"https://ror.org/02yqqv993","country_code":"RU","type":"education","lineage":["https://openalex.org/I17877952"]},{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU","RU"],"is_corresponding":false,"raw_author_name":"Ricardo Ruiz-Baier","raw_affiliation_strings":["School of Mathematics, Monash University, 9 Rainforest Walk, Melbourne 3800 VIC, Australia; and World-Class Research Center \u201cDigital biodesign and personalized healthcare,\u201d Sechenov First Moscow State Medical University, Moscow, Russia; and Universidad Adventista de Chile, Casilla 7-D, Chill\u00e1n, Chile","School of Mathematics, Monash University, 9 Rainforest Walk, Melbourne 3800 VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0003-3144-5822","affiliations":[{"raw_affiliation_string":"School of Mathematics, Monash University, 9 Rainforest Walk, Melbourne 3800 VIC, Australia; and World-Class Research Center \u201cDigital biodesign and personalized healthcare,\u201d Sechenov First Moscow State Medical University, Moscow, Russia; and Universidad Adventista de Chile, Casilla 7-D, Chill\u00e1n, Chile","institution_ids":["https://openalex.org/I17877952"]},{"raw_affiliation_string":"School of Mathematics, Monash University, 9 Rainforest Walk, Melbourne 3800 VIC, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048982998","display_name":"Vegard Vinje","orcid":"https://orcid.org/0000-0003-2928-3385"},"institutions":[{"id":"https://openalex.org/I2799829267","display_name":"Simula Research Laboratory","ror":"https://ror.org/00vn06n10","country_code":"NO","type":"facility","lineage":["https://openalex.org/I2799829267"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Vegard Vinje","raw_affiliation_strings":["Department for Numerical Analysis and Scientific Computing, Simula Research Laboratory, Lysaker, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department for Numerical Analysis and Scientific Computing, Simula Research Laboratory, Lysaker, Norway","institution_ids":["https://openalex.org/I2799829267"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7403,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86264509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"61","issue":"3","first_page":"1449","last_page":"1481"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"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":0.9994000196456909,"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/T10514","display_name":"Numerical methods in engineering","score":0.9980999827384949,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/poromechanics","display_name":"Poromechanics","score":0.9326993227005005},{"id":"https://openalex.org/keywords/biot-number","display_name":"Biot number","score":0.8493722677230835},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7998325824737549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7312368750572205},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6420102119445801},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6098897457122803},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.537034273147583},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5369543433189392},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4856244623661041},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4613165557384491},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.422920286655426},{"id":"https://openalex.org/keywords/stress","display_name":"Stress (linguistics)","score":0.4153420329093933},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.399955153465271},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25554388761520386},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1992005705833435},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.19354945421218872},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1830969750881195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10345646739006042},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.08533045649528503},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.08049881458282471},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.0634332001209259}],"concepts":[{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.9326993227005005},{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.8493722677230835},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7998325824737549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7312368750572205},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6420102119445801},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6098897457122803},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.537034273147583},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5369543433189392},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4856244623661041},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4613165557384491},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.422920286655426},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.4153420329093933},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.399955153465271},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25554388761520386},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1992005705833435},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.19354945421218872},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1830969750881195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10345646739006042},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.08533045649528503},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.08049881458282471},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0634332001209259},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/21m1449695","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1449695","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:arXiv.org:2109.15006","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.15006","pdf_url":"https://arxiv.org/pdf/2109.15006","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:https://www.kerwa.ucr.ac.cr:10669/89760","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/21M1449695","pdf_url":"https://www.kerwa.ucr.ac.cr/bitstreams/4139a891-7679-46a2-baea-e4e4a60565a0/download","source":{"id":"https://openalex.org/S4306400069","display_name":"Investigative News in Education (Universidad de Costa Rica)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I198243066","host_organization_name":"Universidad Nacional","host_organization_lineage":["https://openalex.org/I198243066"],"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, vol.61 (3), pp.1449-1481","raw_type":"art\u00edculo original"},{"id":"pmh:oai:www.duo.uio.no:10852/102683","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/102683","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"0036-1429","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2109.15006","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.15006","pdf_url":"https://arxiv.org/pdf/2109.15006","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[{"id":"https://openalex.org/G1210195650","display_name":null,"funder_award_id":"540-C0-202","funder_id":"https://openalex.org/F4320335005","funder_display_name":"Vicerrector\u00eda de Investigaci\u00f3n, Universidad de Costa Rica"},{"id":"https://openalex.org/G16099854","display_name":null,"funder_award_id":"301013","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G1672327233","display_name":null,"funder_award_id":"300305","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G4789850886","display_name":null,"funder_award_id":"075-15-2022-304","funder_id":"https://openalex.org/F4320327494","funder_display_name":"Ministry of Science and Higher Education of the Russian Federation"},{"id":"https://openalex.org/G52850924","display_name":null,"funder_award_id":"DP22010316","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G597338630","display_name":null,"funder_award_id":"075-15-2022","funder_id":"https://openalex.org/F4320327494","funder_display_name":"Ministry of Science and Higher Education of the Russian Federation"},{"id":"https://openalex.org/G6444257319","display_name":null,"funder_award_id":"075-15-","funder_id":"https://openalex.org/F4320327494","funder_display_name":"Ministry of Science and Higher Education of the Russian Federation"},{"id":"https://openalex.org/G834047682","display_name":"Next-generation methods for transport in poroelastic media with interfaces","funder_award_id":"FT220100496","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8438571389","display_name":null,"funder_award_id":"075-15-2022-304","funder_id":"https://openalex.org/F4320321912","funder_display_name":"Ministry of Education and Science of the Russian Federation"}],"funders":[{"id":"https://openalex.org/F4320321912","display_name":"Ministry of Education and Science of the Russian Federation","ror":"https://ror.org/00ghqgy32"},{"id":"https://openalex.org/F4320323217","display_name":"Universidad de Costa Rica","ror":"https://ror.org/02yzgww51"},{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"},{"id":"https://openalex.org/F4320327494","display_name":"Ministry of Science and Higher Education of the Russian Federation","ror":null},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320335005","display_name":"Vicerrector\u00eda de Investigaci\u00f3n, Universidad de Costa Rica","ror":"https://ror.org/02yzgww51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W73123583","https://openalex.org/W592911714","https://openalex.org/W1601728065","https://openalex.org/W1674659126","https://openalex.org/W1732032878","https://openalex.org/W1866311589","https://openalex.org/W1992358193","https://openalex.org/W2015946496","https://openalex.org/W2039162483","https://openalex.org/W2070794047","https://openalex.org/W2073777702","https://openalex.org/W2077172129","https://openalex.org/W2085490131","https://openalex.org/W2106495485","https://openalex.org/W2110656081","https://openalex.org/W2158264760","https://openalex.org/W2163225965","https://openalex.org/W2167183660","https://openalex.org/W2291838033","https://openalex.org/W2314371091","https://openalex.org/W2429651303","https://openalex.org/W2496521767","https://openalex.org/W2504866838","https://openalex.org/W2523884417","https://openalex.org/W2599128583","https://openalex.org/W2616073269","https://openalex.org/W2619649148","https://openalex.org/W2706493591","https://openalex.org/W2743641825","https://openalex.org/W2747884879","https://openalex.org/W2796253004","https://openalex.org/W2901473302","https://openalex.org/W2906573104","https://openalex.org/W2942519454","https://openalex.org/W2947884716","https://openalex.org/W2963017886","https://openalex.org/W2963366920","https://openalex.org/W2964046760","https://openalex.org/W2970100283","https://openalex.org/W2976029637","https://openalex.org/W2980923982","https://openalex.org/W3016487092","https://openalex.org/W3033935909","https://openalex.org/W3090238072","https://openalex.org/W3095383403","https://openalex.org/W3098982474","https://openalex.org/W3099612216","https://openalex.org/W3104327907","https://openalex.org/W3134355059","https://openalex.org/W3145545686","https://openalex.org/W3149667697","https://openalex.org/W3170666415","https://openalex.org/W3187829991","https://openalex.org/W3190656104","https://openalex.org/W3204708751","https://openalex.org/W3205026613","https://openalex.org/W4213199888","https://openalex.org/W4235485079","https://openalex.org/W4241074797","https://openalex.org/W4245654886","https://openalex.org/W4250985830","https://openalex.org/W4252104256","https://openalex.org/W4254429598","https://openalex.org/W4289201941"],"related_works":["https://openalex.org/W4390465241","https://openalex.org/W2059677665","https://openalex.org/W2735211706","https://openalex.org/W2894257416","https://openalex.org/W4391977111","https://openalex.org/W57719583","https://openalex.org/W1976747621","https://openalex.org/W2087488124","https://openalex.org/W2016304518","https://openalex.org/W2808572609"],"abstract_inverted_index":{"We":[0,38,71],"present":[1],"a":[2,29,74],"new":[3],"stress/total-pressure":[4],"formulation":[5,42],"for":[6,53],"poroelasticity":[7],"that":[8],"incorporates":[9],"the":[10,40,44,81,84,95,102,107,115],"coupling":[11],"with":[12,34],"steady":[13,96],"nonlinear":[14,20],"diffusion":[15],"modified":[16],"by":[17],"stress.":[18,118],"This":[19],"problem":[21],"is":[22,61],"written":[23],"in":[24,101,111],"mixed-primal":[25],"form,":[26],"which":[27],"combines":[28],"perturbed":[30],"twofold":[31],"saddle-point":[32],"system":[33],"an":[35],"elliptic":[36],"problem.":[37],"analyze":[39],"continuous":[41],"within":[43],"framework":[45],"of":[46,83,98,109,117],"abstract":[47],"fixed-point":[48],"theory":[49],"and":[50,63,66],"Fredholm":[51],"alternative":[52],"compact":[54],"operators.":[55],"A":[56],"mixed":[57],"finite":[58],"element":[59],"method":[60],"proposed,":[62],"its":[64],"stability":[65],"convergence":[67],"are":[68],"rigorously":[69],"analyzed.":[70],"also":[72],"provide":[73],"few":[75],"representative":[76],"numerical":[77],"examples":[78],"to":[79,93],"illustrate":[80],"effectiveness":[82],"proposed":[85],"formulation.":[86],"The":[87],"resulting":[88],"model":[89],"can":[90],"be":[91],"used":[92],"study":[94],"case":[97],"waste":[99],"removal":[100],"brain,":[103],"providing":[104],"insight":[105],"into":[106],"transport":[108],"solutes":[110],"poroelastic":[112],"structures":[113],"under":[114],"influence":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2021-10-11T00:00:00"}