{"id":"https://openalex.org/W4417077354","doi":"https://doi.org/10.48550/arxiv.2509.14864","title":"A cell centered Galerkin method for miscible displacement in heterogeneous porous media","display_name":"A cell centered Galerkin method for miscible displacement in heterogeneous porous media","publication_year":2025,"publication_date":"2025-09-18","ids":{"openalex":"https://openalex.org/W4417077354","doi":"https://doi.org/10.48550/arxiv.2509.14864"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2509.14864","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.14864","pdf_url":"https://arxiv.org/pdf/2509.14864","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/2509.14864","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":0.9103000164031982,"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":0.9103000164031982,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.021800000220537186,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.008200000040233135,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/porous-medium","display_name":"Porous medium","score":0.7419999837875366},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6917999982833862},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.6830000281333923},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.521399974822998},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5019000172615051},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4683000147342682},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.43810001015663147}],"concepts":[{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.7419999837875366},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6917999982833862},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.6830000281333923},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5313000082969666},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.521399974822998},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5019000172615051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47130000591278076},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4683000147342682},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45239999890327454},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.43810001015663147},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42480000853538513},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.3610999882221222},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.33649998903274536},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32019999623298645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3133000135421753},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.2985000014305115},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.25220000743865967},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.25130000710487366}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2509.14864","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.14864","pdf_url":"https://arxiv.org/pdf/2509.14864","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.2509.14864","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2509.14864","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:2509.14864","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.14864","pdf_url":"https://arxiv.org/pdf/2509.14864","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,81],"this":[1],"paper":[2],"we":[3,83],"present":[4],"a":[5,90,97],"cell":[6],"centered":[7],"Galerkin":[8,30],"(CCG)":[9],"method":[10,49,88,117],"applied":[11],"to":[12,33,67,96],"miscible":[13],"displacement":[14],"problems":[15,124],"in":[16,100,107,125],"heterogeneous":[17,120],"porous":[18,126],"media.":[19,127],"The":[20],"CCG":[21,48,87,116,130],"approach":[22],"combines":[23],"concepts":[24],"from":[25],"finite":[26],"volume":[27],"and":[28,64,71,109,122,131],"discontinuous":[29],"(DG)":[31],"methods":[32,134],"arrive":[34],"at":[35],"an":[36],"efficient":[37],"lowest-order":[38],"approximation":[39],"(one":[40],"unknown":[41,61],"per":[42,62],"cell).":[43],"We":[44],"demonstrate":[45],"that":[46,85],"the":[47,86,112,115],"can":[50],"be":[51],"defined":[52],"using":[53],"classical":[54,132],"DG":[55,79,133],"weak":[56],"formulations,":[57],"only":[58],"requires":[59],"one":[60],"cell,":[63],"is":[65],"able":[66],"deliver":[68],"comparable":[69],"accuracy":[70],"improved":[72],"efficiency":[73],"over":[74],"traditional":[75],"higher-order":[76],"interior":[77],"penalty":[78],"methods.":[80],"addition,":[82],"prove":[84],"for":[89,118],"model":[91],"Poisson":[92],"problem":[93],"gives":[94],"rise":[95],"inverse-positive":[98],"matrix":[99],"1D.":[101],"A":[102],"plethora":[103],"of":[104,114],"computational":[105],"experiments":[106],"2D":[108],"3D":[110],"showcase":[111],"effectiveness":[113],"highly":[119],"flow":[121],"transport":[123],"Comparisons":[128],"between":[129],"are":[135],"included.":[136]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}