{"id":"https://openalex.org/W4416112326","doi":"https://doi.org/10.48550/arxiv.2503.04061","title":"High order hybridizable discontinuous Galerkin method for three-phase flow in porous media","display_name":"High order hybridizable discontinuous Galerkin method for three-phase flow in porous media","publication_year":2025,"publication_date":"2025-03-06","ids":{"openalex":"https://openalex.org/W4416112326","doi":"https://doi.org/10.48550/arxiv.2503.04061"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2503.04061","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.04061","pdf_url":"https://arxiv.org/pdf/2503.04061","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2503.04061","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034398226","display_name":"Maurice S. Fabien","orcid":"https://orcid.org/0000-0003-0589-988X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fabien, Maurice S.","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034398226"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9122999906539917,"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":0.9122999906539917,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.022700000554323196,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.016200000420212746,"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/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8973000049591064},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.6444000005722046},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5317000150680542},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.527400016784668},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5264999866485596},{"id":"https://openalex.org/keywords/operator-splitting","display_name":"Operator splitting","score":0.5254999995231628},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4690999984741211}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8973000049591064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.682699978351593},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6444000005722046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5468000173568726},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5317000150680542},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.527400016784668},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5264999866485596},{"id":"https://openalex.org/C2987355758","wikidata":"https://www.wikidata.org/wiki/Q25037251","display_name":"Operator splitting","level":2,"score":0.5254999995231628},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5170999765396118},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4690999984741211},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.46299999952316284},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4350000023841858},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4113999903202057},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3416999876499176},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3328000009059906},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3077999949455261},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2921000123023987},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27469998598098755}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2503.04061","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.04061","pdf_url":"https://arxiv.org/pdf/2503.04061","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"doi:10.48550/arxiv.2503.04061","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2503.04061","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2503.04061","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.04061","pdf_url":"https://arxiv.org/pdf/2503.04061","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1,33],"a":[2,24],"high-order":[3],"hybridizable":[4,55],"discontinuous":[5,56,78],"Galerkin":[6,57,79],"method":[7,58],"for":[8,50,60,86,93],"the":[9,31,35,40,66,94],"numerical":[10,82],"solution":[11,46],"of":[12,69,71],"time-dependent":[13],"three-phase":[14],"flow":[15],"in":[16,34,102],"heterogeneous":[17,106],"porous":[18,107],"media.":[19,108],"The":[20,54],"underlying":[21],"algorithm":[22],"is":[23],"semi-implicit":[25],"operator":[26],"splitting":[27],"approach":[28],"that":[29,47],"relaxes":[30],"nonlinearity":[32],"governing":[36],"equations.":[37],"By":[38],"treating":[39],"subsequent":[41],"equations":[42],"implicitly,":[43],"we":[44,88],"obtain":[45],"remain":[48],"stable":[49],"large":[51],"time":[52],"steps.":[53],"allows":[59],"static":[61],"condensation,":[62],"which":[63],"significantly":[64],"reduces":[65],"total":[67],"number":[68],"degrees":[70],"freedom,":[72],"especially":[73],"when":[74],"compared":[75],"to":[76],"classical":[77],"methods.":[80],"Several":[81],"tests":[83],"are":[84],"given,":[85],"example,":[87],"verify":[89],"analytic":[90],"convergence":[91],"rates":[92],"method,":[95],"as":[96,98],"well":[97],"examine":[99],"its":[100],"robustness":[101],"both":[103],"homogeneous":[104],"and":[105]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}