{"id":"https://openalex.org/W4280488160","doi":"https://doi.org/10.1090/mcom/3949","title":"Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix\u2013fracture interfaces","display_name":"Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix\u2013fracture interfaces","publication_year":2024,"publication_date":"2024-03-07","ids":{"openalex":"https://openalex.org/W4280488160","doi":"https://doi.org/10.1090/mcom/3949"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3949","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3949","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-03541096/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023396506","display_name":"Francesco Bonaldi","orcid":"https://orcid.org/0000-0003-0512-0362"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francesco Bonaldi","raw_affiliation_strings":["IMAG, Univ Montpellier, CNRS, Montpellier, France; and LAMPS, Universit\u00c3\u00a9 de Perpignan Via Domitia, Perpignan, France","IMAG, Univ Montpellier, CNRS, Montpellier, France; and LAMPS, Universit\u00e9 de Perpignan Via Domitia, Perpignan, France","IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","LAMPS - LAboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations (52, avenue Paul Alduy 66860 Perpignan cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMAG, Univ Montpellier, CNRS, Montpellier, France; and LAMPS, Universit\u00c3\u00a9 de Perpignan Via Domitia, Perpignan, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I151295451","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IMAG, Univ Montpellier, CNRS, Montpellier, France; and LAMPS, Universit\u00e9 de Perpignan Via Domitia, Perpignan, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I151295451","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAMPS - LAboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations (52, avenue Paul Alduy 66860 Perpignan cedex - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075602113","display_name":"J\u00e9r\u00f4me Droniou","orcid":"https://orcid.org/0000-0002-3339-3053"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"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","FR"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00f4me Droniou","raw_affiliation_strings":["School of Mathematics, Monash University, Victoria 3800, Australia; and IMAG, Univ Montpellier, CNRS, Montpellier, France","School of Mathematics [Australia] (Monash University\r\n9 Rainforest Walk, Room 401\r\nVictoria 3800 - Australia)","IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Monash University, Victoria 3800, Australia; and IMAG, Univ Montpellier, CNRS, Montpellier, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"School of Mathematics [Australia] (Monash University\r\n9 Rainforest Walk, Room 401\r\nVictoria 3800 - Australia)","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033676643","display_name":"Roland Masson","orcid":"https://orcid.org/0009-0006-8713-3069"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210112930","display_name":"Laboratoire Jean-Alexandre Dieudonn\u00e9","ror":"https://ror.org/0274zdr66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210112930","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I4210117840","display_name":"Institut de Biologie Valrose","ror":"https://ror.org/03bnma344","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I201841394","https://openalex.org/I4210096427","https://openalex.org/I4210117840"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Roland Masson","raw_affiliation_strings":["Universit\u00c3\u00a9 C\u00c3\u00b4te d\u00e2\u0080\u0099Azur, Inria, CNRS, Laboratoire J.A. Dieudonn\u00c3\u00a9, team Coffee, Nice, France","Universit\u00e9 C\u00f4te d\u2019Azur, Inria, CNRS, Laboratoire J.A. Dieudonn\u00e9, team Coffee, Nice, France","UCA - Universit\u00e9 C\u00f4te d'Azur (Parc Valrose, 28, avenue Valrose 06108 Nice Cedex 2 - France)","COFFEE - COmplex Flows For Energy and Environment (2004 route des Lucioles - BP 93 06902 Sophia Antipolis Cedex, France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00c3\u00a9 C\u00c3\u00b4te d\u00e2\u0080\u0099Azur, Inria, CNRS, Laboratoire J.A. Dieudonn\u00c3\u00a9, team Coffee, Nice, France","institution_ids":["https://openalex.org/I4210112930","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, Inria, CNRS, Laboratoire J.A. Dieudonn\u00e9, team Coffee, Nice, France","institution_ids":["https://openalex.org/I4210112930","https://openalex.org/I201841394","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"UCA - Universit\u00e9 C\u00f4te d'Azur (Parc Valrose, 28, avenue Valrose 06108 Nice Cedex 2 - France)","institution_ids":["https://openalex.org/I4210117840","https://openalex.org/I201841394"]},{"raw_affiliation_string":"COFFEE - COmplex Flows For Energy and Environment (2004 route des Lucioles - BP 93 06902 Sophia Antipolis Cedex, France - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2312,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.40874133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"93","issue":"349","first_page":"2103","last_page":"2134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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/T10161","display_name":"Rock Mechanics and Modeling","score":0.9991999864578247,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6677117943763733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5168221592903137},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.460845947265625},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.37596508860588074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3564690053462982},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3545609712600708},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.16984662413597107},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.09894999861717224}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6677117943763733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5168221592903137},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.460845947265625},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37596508860588074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3564690053462982},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3545609712600708},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.16984662413597107},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.09894999861717224}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/3949","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3949","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"},{"id":"pmh:oai:HAL:hal-03541096v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03541096","pdf_url":"https://hal.science/hal-03541096/document","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0025-5718","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03541096v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03541096","pdf_url":"https://hal.science/hal-03541096/document","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0025-5718","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G4516796984","display_name":null,"funder_award_id":"101115663","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G5377794632","display_name":"NEw generation MEthods for numerical SImulationS","funder_award_id":"101115663","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4280488160.pdf"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W171913366","https://openalex.org/W1257148767","https://openalex.org/W1963795254","https://openalex.org/W1964990176","https://openalex.org/W2007905538","https://openalex.org/W2034955653","https://openalex.org/W2049435842","https://openalex.org/W2082841346","https://openalex.org/W2083875017","https://openalex.org/W2084188495","https://openalex.org/W2093948150","https://openalex.org/W2094293004","https://openalex.org/W2114736792","https://openalex.org/W2131343962","https://openalex.org/W2147609285","https://openalex.org/W2147874172","https://openalex.org/W2165408367","https://openalex.org/W2253087389","https://openalex.org/W2265749247","https://openalex.org/W2314187005","https://openalex.org/W2404390473","https://openalex.org/W2506688142","https://openalex.org/W2549516606","https://openalex.org/W2578146255","https://openalex.org/W2724697992","https://openalex.org/W2734812188","https://openalex.org/W2786028739","https://openalex.org/W2797266132","https://openalex.org/W2883364930","https://openalex.org/W2888482510","https://openalex.org/W2888661949","https://openalex.org/W2891934466","https://openalex.org/W2941327858","https://openalex.org/W2962837672","https://openalex.org/W2962856640","https://openalex.org/W2962949210","https://openalex.org/W2963898481","https://openalex.org/W2970820266","https://openalex.org/W2973116097","https://openalex.org/W3005601165","https://openalex.org/W3006533873","https://openalex.org/W3017753112","https://openalex.org/W3032897239","https://openalex.org/W3049070198","https://openalex.org/W3093027666","https://openalex.org/W3102545766","https://openalex.org/W3105860060","https://openalex.org/W3183236881","https://openalex.org/W3185554178","https://openalex.org/W3198551377","https://openalex.org/W3199777780","https://openalex.org/W4200630099","https://openalex.org/W4205793979","https://openalex.org/W4211097011","https://openalex.org/W4229629237","https://openalex.org/W4234028290","https://openalex.org/W4242517046","https://openalex.org/W4299968561","https://openalex.org/W4311269708","https://openalex.org/W4378218483"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W2051487156","https://openalex.org/W2793786119"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,7,11,51,74,114,128,133,153],"complete":[3],"numerical":[4,82,141],"analysis":[5,83],"for":[6,57,63,158,190],"general":[8],"discretization":[9],"of":[10,77,117,132],"coupled":[12,194],"flow\u2013mechanics":[13],"model":[14,61],"in":[15,70,87,143],"fractured":[16],"porous":[17],"media,":[18],"considering":[19],"single-phase":[20],"flows":[21],"and":[22,50,101,119,161],"including":[23],"frictionless":[24],"contact":[25,233],"at":[26,67],"matrix\u2013fracture":[27,68],"interfaces,":[28],"as":[29,31,38,127],"well":[30],"nonlinear":[32],"poromechanical":[33],"coupling.":[34],"Fractures":[35],"are":[36,55],"described":[37],"planar":[39],"surfaces,":[40],"yielding":[41],"the":[42,58,88,130,137,149,159,191,232],"so-called":[43],"mixed-":[44],"or":[45],"hybrid-dimensional":[46],"models.":[47],"Small":[48],"displacements":[49],"linear":[52],"elastic":[53],"behavior":[54],"considered":[56],"matrix.":[59],"The":[60,81,122],"accounts":[62],"discontinuous":[64],"fluid":[65],"pressures":[66],"interfaces":[69],"order":[71],"to":[72,136,147,230],"cover":[73],"wide":[75],"range":[76],"normal":[78,228],"fracture":[79],"conductivities.":[80],"is":[84,145],"carried":[85],"out":[86],"Gradient":[89],"Discretization":[90],"framework":[91],"(see":[92],"J.":[93],"Droniou,":[94],"R.":[95,102],"Eymard,":[96],"T.":[97],"Gallou\u00ebt,":[98],"C.":[99],"Guichard,":[100],"Herbin":[103],"[":[104],"<italic>The":[105],"gradient":[106],"discretisation":[107],"method</italic>":[108],",":[109],"Springer,":[110],"Cham,":[111],"2018]),":[112],"encompassing":[113],"large":[115],"family":[116],"conforming":[118],"nonconforming":[120],"discretizations.":[121],"convergence":[123],"result":[124],"also":[125],"yields,":[126],"by-product,":[129],"existence":[131],"weak":[134],"solution":[135],"continuous":[138],"model.":[139],"A":[140],"experiment":[142],"2D":[144],"presented":[146],"support":[148],"obtained":[150],"result,":[151],"employing":[152],"Hybrid":[154],"Finite":[155],"Volume":[156],"scheme":[157],"flow":[160],"second-order":[162],"finite":[163],"elements":[164],"(":[165,198],"<inline-formula":[166,199],"content-type=\"math/mathml\">":[167,200],"<mml:math":[168,201],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[169,202],"alttext=\"double-struck":[170,203],"upper":[171,204],"P":[172,205],"2\">":[173],"<mml:semantics>":[174,207],"<mml:msub>":[175,208],"<mml:mrow":[176,209],"class=\"MJX-TeXAtom-ORD\">":[177,210],"<mml:mi":[178,211],"mathvariant=\"double-struck\">P</mml:mi>":[179,212],"</mml:mrow>":[180,213],"<mml:mn>2</mml:mn>":[181],"</mml:msub>":[182,215],"<mml:annotation":[183,216],"encoding=\"application/x-tex\">\\mathbb":[184,217],"{P}_2</mml:annotation>":[185],"</mml:semantics>":[186,219],"</mml:math>":[187,220],"</inline-formula>":[188,221],")":[189,222],"mechanical":[192],"displacement":[193],"with":[195],"face-wise":[196],"constant":[197],"0\">":[206],"<mml:mn>0</mml:mn>":[214],"P_0</mml:annotation>":[218],"Lagrange":[223],"multipliers":[224],"on":[225],"fractures,":[226],"representing":[227],"stresses,":[229],"discretize":[231],"conditions.":[234]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
