{"id":"https://openalex.org/W4401536966","doi":"https://doi.org/10.1109/access.2024.3443058","title":"Isomorphic Structures and Operator Analysis in Mimetic Discretizations","display_name":"Isomorphic Structures and Operator Analysis in Mimetic Discretizations","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4401536966","doi":"https://doi.org/10.1109/access.2024.3443058"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3443058","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2024.3443058","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://dx.doi.org/10.1109/access.2024.3443058","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002158202","display_name":"J. de Curt\u00f2","orcid":"https://orcid.org/0000-0002-8334-4719"},"institutions":[{"id":"https://openalex.org/I2799803557","display_name":"Barcelona Supercomputing Center","ror":"https://ror.org/05sd8tv96","country_code":"ES","type":"facility","lineage":["https://openalex.org/I2799803557","https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"J. de Curt\u00f2","raw_affiliation_strings":["Department of Computer Applications in Science and Engineering, BARCELONA Supercomputing Center, Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0002-8334-4719","affiliations":[{"raw_affiliation_string":"Department of Computer Applications in Science and Engineering, BARCELONA Supercomputing Center, Barcelona, Spain","institution_ids":["https://openalex.org/I2799803557"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066504412","display_name":"I. de Zarz\u00e0","orcid":"https://orcid.org/0000-0002-5844-7871"},"institutions":[{"id":"https://openalex.org/I232005693","display_name":"Universidad Francisco de Vitoria","ror":"https://ror.org/03ha64j07","country_code":"ES","type":"education","lineage":["https://openalex.org/I232005693"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"I. de Zarz\u00e0","raw_affiliation_strings":["Escuela Polit&#x00E9;cnica Superior, Universidad Francisco de Vitoria, Pozuelo de Alarc&#x00F3;n, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0002-5844-7871","affiliations":[{"raw_affiliation_string":"Escuela Polit&#x00E9;cnica Superior, Universidad Francisco de Vitoria, Pozuelo de Alarc&#x00F3;n, Madrid, Spain","institution_ids":["https://openalex.org/I232005693"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002158202"],"corresponding_institution_ids":["https://openalex.org/I2799803557"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13313513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":null,"first_page":"112482","last_page":"112498"},"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":0.9990000128746033,"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5222062468528748},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5189275741577148},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4246543049812317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35771870613098145},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.213722825050354}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5222062468528748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5189275741577148},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4246543049812317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35771870613098145},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.213722825050354},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/access.2024.3443058","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2024.3443058","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/413879","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/413879","pdf_url":"https://upcommons.upc.edu/bitstreams/62cb0924-2b64-4205-a0eb-081e38131824/download","source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:zaguan.unizar.es:145352","is_oa":true,"landing_page_url":"http://zaguan.unizar.es/record/145352","pdf_url":"https://zaguan.unizar.es/record/145352/files/texto_completo.pdf","source":{"id":"https://openalex.org/S4306401812","display_name":"Zaguan (University of Zaragoza Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I255234318","host_organization_name":"Universidad de Zaragoza","host_organization_lineage":["https://openalex.org/I255234318"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:cf2ba95c28fa4ab5b2aa5f0977059965","is_oa":true,"landing_page_url":"https://doaj.org/article/cf2ba95c28fa4ab5b2aa5f0977059965","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 112482-112498 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3443058","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2024.3443058","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323868","display_name":"Barcelona Supercomputing Center","ror":"https://ror.org/05sd8tv96"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W96454744","https://openalex.org/W162238331","https://openalex.org/W198958142","https://openalex.org/W1965816824","https://openalex.org/W2002512385","https://openalex.org/W2011820741","https://openalex.org/W2015745797","https://openalex.org/W2079025100","https://openalex.org/W2095980140","https://openalex.org/W2122152505","https://openalex.org/W2126547570","https://openalex.org/W2150991141","https://openalex.org/W2256812163","https://openalex.org/W2954770157","https://openalex.org/W3034793926","https://openalex.org/W3130498486","https://openalex.org/W4319773710","https://openalex.org/W4386699257","https://openalex.org/W4388792477","https://openalex.org/W4394919320","https://openalex.org/W4396590015","https://openalex.org/W4399171674","https://openalex.org/W4400231028","https://openalex.org/W4400723601"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"This":[0,124],"study":[1,43],"presents":[2],"a":[3,16,106,121],"comprehensive":[4],"examination":[5],"of":[6,39,99,117,135,142,160,180,194,203,231],"the":[7,20,30,37,40,75,97,100,114,130,140,143,158,166,178,181,199,229],"structural":[8],"and":[9,24,33,46,61,78,132,157,172,201,214],"operatorial":[10],"foundations":[11],"within":[12,120],"mimetic":[13,31,111,189],"discretizations,":[14,137],"with":[15],"focus":[17],"on":[18],"bridging":[19],"gap":[21],"between":[22,169],"discrete":[23,59,122],"continuous":[25,115,167],"function":[26,63],"spaces.":[27],"By":[28],"scrutinizing":[29],"gradient":[32],"divergence":[34],"operators\u2014central":[35],"to":[36,69,83,93,151],"discretization":[38],"NAVIER-STOKES":[41,144],"equations\u2014we":[42],"their":[44,50,155],"kernel":[45],"image":[47],"spaces,":[48,64],"establishing":[49],"isomorphisms":[51],"through":[52],"rigorous":[53],"mathematical":[54],"proofs.":[55],"Our":[56],"methodology":[57],"leverages":[58],"scalar":[60],"vector":[62],"delineated":[65],"by":[66],"grid":[67],"spacing,":[68],"define":[70],"linear":[71],"mappings":[72],"that":[73,164,187],"unveil":[74],"subspace":[76],"relationships":[77],"quotient":[79],"space":[80],"structures":[81],"integral":[82],"understanding":[84],"these":[85],"operators\u2019":[86],"roles":[87],"in":[88,139,223],"computational":[89,204],"fluid":[90],"dynamics.":[91],"Central":[92],"our":[94,149,188,207],"findings":[95],"is":[96],"application":[98,179],"first":[101,182],"isomorphism":[102,183],"theorem,":[103],"which":[104,185],"facilitates":[105],"deeper":[107],"insight":[108],"into":[109,129,212],"how":[110],"discretizations":[112,190],"reflect":[113],"properties":[116,193],"differential":[118,195],"operators":[119],"framework.":[123],"allows":[125],"for":[126,220],"an":[127],"exploration":[128],"algebraic":[131],"topological":[133],"implications":[134],"such":[136],"notably":[138],"context":[141],"equations.":[145],"Furthermore,":[146],"we":[147],"extend":[148],"investigation":[150],"encompass":[152],"subalgebras,":[153],"ideals,":[154],"quotients,":[156],"formulation":[159],"short":[161],"exact":[162],"sequences":[163],"mirror":[165],"interplay":[168],"gradient,":[170],"divergence,":[171],"LAPLACIAN":[173],"operators.":[174],"Significant":[175],"advances":[176],"include":[177],"theorem":[184],"confirms":[186],"preserve":[191],"key":[192],"operators,":[196],"thus":[197],"enhancing":[198],"accuracy":[200],"reliability":[202],"models.":[205],"Additionally,":[206],"research":[208],"introduces":[209],"practical":[210],"extensions":[211],"subalgebras":[213],"complex":[215],"operator":[216],"sequences,":[217],"laying":[218],"groundwork":[219],"future":[221],"developments":[222],"numerical":[224],"methods":[225],"aimed":[226],"at":[227],"improving":[228],"precision":[230],"engineering":[232],"simulations.":[233]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
