{"id":"https://openalex.org/W4413176013","doi":"https://doi.org/10.1007/s00366-025-02182-4","title":"Polytopal discontinuous Galerkin methods for low-frequency poroelasticity coupled to unsteady Stokes flow","display_name":"Polytopal discontinuous Galerkin methods for low-frequency poroelasticity coupled to unsteady Stokes flow","publication_year":2025,"publication_date":"2025-08-13","ids":{"openalex":"https://openalex.org/W4413176013","doi":"https://doi.org/10.1007/s00366-025-02182-4"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-025-02182-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-025-02182-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-025-02182-4.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00366-025-02182-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055379840","display_name":"Michele Botti","orcid":"https://orcid.org/0000-0003-1171-2874"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Michele Botti","raw_affiliation_strings":["MOX-Laboratory for Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, P.za Leonardo da Vinci, 32, Milan, 20133, Italy"],"affiliations":[{"raw_affiliation_string":"MOX-Laboratory for Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, P.za Leonardo da Vinci, 32, Milan, 20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012529282","display_name":"Ivan Fumagalli","orcid":"https://orcid.org/0000-0001-9256-1398"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ivan Fumagalli","raw_affiliation_strings":["MOX-Laboratory for Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, P.za Leonardo da Vinci, 32, Milan, 20133, Italy"],"affiliations":[{"raw_affiliation_string":"MOX-Laboratory for Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, P.za Leonardo da Vinci, 32, Milan, 20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054737690","display_name":"Ilario Mazzieri","orcid":"https://orcid.org/0000-0003-4121-8092"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ilario Mazzieri","raw_affiliation_strings":["MOX-Laboratory for Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, P.za Leonardo da Vinci, 32, Milan, 20133, Italy"],"affiliations":[{"raw_affiliation_string":"MOX-Laboratory for Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, P.za Leonardo da Vinci, 32, Milan, 20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055379840"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2085729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"6","first_page":"4173","last_page":"4189"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9993000030517578,"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":0.8068423271179199},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5647456049919128},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.5198455452919006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49843716621398926},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4702557325363159},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.44412562251091003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4275307059288025},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.41867557168006897},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37994620203971863},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.36925601959228516},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.19383671879768372},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.17074835300445557},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.09511172771453857},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.08458861708641052},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.05541101098060608},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.041253119707107544}],"concepts":[{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.8068423271179199},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5647456049919128},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.5198455452919006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49843716621398926},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4702557325363159},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.44412562251091003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4275307059288025},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.41867557168006897},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37994620203971863},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.36925601959228516},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.19383671879768372},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.17074835300445557},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.09511172771453857},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.08458861708641052},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.05541101098060608},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.041253119707107544}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00366-025-02182-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-025-02182-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-025-02182-4.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1307420","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1307420","pdf_url":"https://re.public.polimi.it/bitstream/11311/1307420/1/2025-BottiFumagalliMazzieri.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00366-025-02182-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-025-02182-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-025-02182-4.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2020622295","display_name":null,"funder_award_id":"Big Data","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320324039","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413176013.pdf","grobid_xml":"https://content.openalex.org/works/W4413176013.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1488877410","https://openalex.org/W1967052603","https://openalex.org/W1974115484","https://openalex.org/W1974397846","https://openalex.org/W2015945757","https://openalex.org/W2042217043","https://openalex.org/W2052683789","https://openalex.org/W2058008892","https://openalex.org/W2058339183","https://openalex.org/W2068259126","https://openalex.org/W2079066676","https://openalex.org/W2079299836","https://openalex.org/W2085490131","https://openalex.org/W2099150268","https://openalex.org/W2100969493","https://openalex.org/W2116404756","https://openalex.org/W2130350269","https://openalex.org/W2138243137","https://openalex.org/W2167427934","https://openalex.org/W2239446905","https://openalex.org/W2291838033","https://openalex.org/W2572754728","https://openalex.org/W2626658717","https://openalex.org/W2743641825","https://openalex.org/W2747023022","https://openalex.org/W2887880955","https://openalex.org/W2907521988","https://openalex.org/W2922002644","https://openalex.org/W2962811303","https://openalex.org/W2962814658","https://openalex.org/W2963610160","https://openalex.org/W2970788955","https://openalex.org/W2976972080","https://openalex.org/W2996580970","https://openalex.org/W2997467732","https://openalex.org/W3023103662","https://openalex.org/W3031363748","https://openalex.org/W3038322078","https://openalex.org/W3043083566","https://openalex.org/W3087390622","https://openalex.org/W3095383403","https://openalex.org/W3104327907","https://openalex.org/W4239957396","https://openalex.org/W4254429598","https://openalex.org/W4285587527","https://openalex.org/W4293028925","https://openalex.org/W4300079339","https://openalex.org/W4367055178","https://openalex.org/W4379616377","https://openalex.org/W4387030130","https://openalex.org/W4396975312","https://openalex.org/W4405869050","https://openalex.org/W4407407855","https://openalex.org/W4409296033"],"related_works":["https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2905912874","https://openalex.org/W3094019205","https://openalex.org/W2959142174","https://openalex.org/W2887215440","https://openalex.org/W2966496118","https://openalex.org/W2524024922","https://openalex.org/W2773756540","https://openalex.org/W2073368884"],"abstract_inverted_index":{"Abstract":[0],"We":[1,32,108],"focus":[2],"on":[3,87],"the":[4,14,17,39,44,52,67,70,88,92,101,115],"numerical":[5],"analysis":[6,113],"of":[7,16,19,77,91,100],"a":[8,22,60,97,110],"polygonal":[9],"discontinuous":[10],"Galerkin":[11],"scheme":[12],"for":[13,114],"simulation":[15],"exchange":[18],"fluid":[20],"between":[21,69],"deformable":[23],"saturated":[24],"poroelastic":[25,45],"structure":[26],"and":[27,47,96,119],"an":[28,56],"adjacent":[29],"free-flow":[30],"channel.":[31],"specifically":[33],"address":[34],"wave":[35],"phenomena":[36],"described":[37],"by":[38,75],"low-frequency":[40],"Biot":[41],"model":[42],"in":[43,51],"region":[46],"unsteady":[48],"Stokes":[49,102],"flow":[50],"open":[53],"channel,":[54],"possibly":[55],"isolated":[57],"cavity":[58],"or":[59],"connected":[61],"fracture":[62],"system.":[63],"The":[64,83],"coupling":[65],"at":[66],"interface":[68],"two":[71],"regions":[72],"is":[73],"realized":[74],"means":[76],"transmission":[78],"conditions":[79],"expressing":[80],"conservation":[81],"laws.":[82],"spatial":[84],"discretization":[85],"hinges":[86],"weak":[89],"form":[90],"two-displacement":[93],"poroelasticity":[94],"system":[95],"stress":[98],"formulation":[99,118],"equation":[103],"with":[104],"weakly":[105],"imposed":[106],"symmetry.":[107],"present":[109],"complete":[111],"stability":[112],"proposed":[116],"semi-discrete":[117],"derive":[120],"a-priori":[121],"hp-error":[122],"estimates.":[123]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}