{"id":"https://openalex.org/W7129534048","doi":"https://doi.org/10.48550/arxiv.2602.14504","title":"Adaptive Finite Elements with Algebraic Stabilization for Convection-Dominated Transport","display_name":"Adaptive Finite Elements with Algebraic Stabilization for Convection-Dominated Transport","publication_year":2026,"publication_date":"2026-02-16","ids":{"openalex":"https://openalex.org/W7129534048","doi":"https://doi.org/10.48550/arxiv.2602.14504"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.14504","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126215602","display_name":"Naveed Ahmed","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ahmed, Naveed","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5011706761","display_name":"Abhinav Jha","orcid":"https://orcid.org/0000-0003-1188-8909"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jha, Abhinav","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"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":0.9527000188827515,"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":0.9527000188827515,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.018300000578165054,"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/T10514","display_name":"Numerical methods in engineering","score":0.005900000222027302,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7522000074386597},{"id":"https://openalex.org/keywords/limiter","display_name":"Limiter","score":0.6879000067710876},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6754000186920166},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6241999864578247},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6215999722480774},{"id":"https://openalex.org/keywords/flux-limiter","display_name":"Flux limiter","score":0.6092000007629395},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5929999947547913},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5220000147819519}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7522000074386597},{"id":"https://openalex.org/C45011657","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiter","level":2,"score":0.6879000067710876},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6754000186920166},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6241999864578247},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6215999722480774},{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.6092000007629395},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5929999947547913},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5672000050544739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5461999773979187},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5220000147819519},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41609999537467957},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4138999879360199},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4097000062465668},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3625999987125397},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.3190000057220459},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28619998693466187},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2809000015258789},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.27399998903274536},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26660001277923584},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.2639999985694885}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.14504","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.14504","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.14504","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.14504","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"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],"a":[2,7,77,109],"numerical":[3,188],"investigation":[4],"of":[5,15,55,89,122,137,194],"residual-based":[6,165],"posteriori":[8,110],"error":[9,111],"estimation":[10,112],"for":[11,66,128,169,218],"finite":[12],"element":[13],"discretizations":[14],"convection--diffusion":[16],"equations":[17],"stabilized":[18,44],"by":[19,213],"algebraic":[20,25,152],"flux":[21],"correction":[22],"and":[23,37,42,49,58,76,97,108,118,172,204],"related":[24],"stabilization":[26,107,198],"techniques.":[27],"In":[28,126],"particular,":[29,127],"we":[30],"consider":[31],"AFC":[32],"schemes":[33],"employing":[34],"the":[35,50,56,90,104,120,123,135,138,146,187,191,214],"BJK":[36],"Monolithic":[38],"Convex":[39],"(MC)":[40],"limiters":[41,59,139,144],"algebraically":[43],"methods":[45],"including":[46,71],"MUAS,":[47],"SMUAS,":[48],"BBK":[51],"approach.":[52],"The":[53,84,100,160],"performance":[54],"estimators":[57,166],"are":[60,208],"studied":[61],"on":[62,115,119],"adaptively":[63],"refined":[64],"meshes":[65],"several":[67,195],"two-dimensional":[68],"test":[69],"problems,":[70],"boundary":[72],"layers,":[73,75,134],"interior":[74],"nonlinear":[78,158,173,219],"convection":[79,124],"problem":[80],"with":[81,130],"solution-dependent":[82],"transport.":[83],"experiments":[85],"assess":[86],"accuracy,":[87],"preservation":[88],"discrete":[91],"maximum":[92],"principle,":[93],"adaptive":[94,184,202],"mesh":[95,116],"behaviour,":[96],"computational":[98],"efficiency.":[99],"results":[101,189],"show":[102],"that":[103,164,207],"interaction":[105],"between":[106],"depends":[113],"strongly":[114,142],"alignment":[117],"character":[121],"field.":[125],"problems":[129,174],"moving":[131],"or":[132],"curved":[133],"behaviour":[136,193],"differs":[140],"significantly:":[141],"upwind-biased":[143],"provide":[145],"most":[147],"accurate":[148],"solutions,":[149],"while":[150],"smoother":[151],"stabilizations":[153],"lead":[154],"to":[155,178],"more":[156],"efficient":[157],"iterations.":[159],"study":[161],"also":[162],"indicates":[163],"remain":[167],"reliable":[168],"both":[170],"linear":[171],"but":[175],"may":[176],"react":[177],"changes":[179],"in":[180],"limiter":[181],"activation":[182],"during":[183],"refinement.":[185],"Overall,":[186],"clarify":[190],"practical":[192],"widely":[196],"used":[197],"techniques":[199],"within":[200],"an":[201],"framework":[203],"highlight":[205],"aspects":[206],"not":[209],"yet":[210],"fully":[211],"explained":[212],"current":[215],"theory,":[216],"particularly":[217],"transport":[220],"problems.":[221]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-02-18T00:00:00"}