{"id":"https://openalex.org/W7155198710","doi":"https://doi.org/10.48550/arxiv.2604.19370","title":"Wildfires Quasi-Implicit Alternative-Direction Simulations using Isogeometric Finite Element Method","display_name":"Wildfires Quasi-Implicit Alternative-Direction Simulations using Isogeometric Finite Element Method","publication_year":2026,"publication_date":"2026-04-21","ids":{"openalex":"https://openalex.org/W7155198710","doi":"https://doi.org/10.48550/arxiv.2604.19370"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.19370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.19370","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":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.19370","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134288926","display_name":"Juliusz Wasieleski","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wasieleski, Juliusz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134279341","display_name":"Tomasz S\u0142u\u017calec","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S\u0142u\u017calec, Tomasz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011728048","display_name":"Maciej Wo\u017aniak","orcid":"https://orcid.org/0000-0002-5576-5671"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wo\u017aniak, Maciej","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126590126","display_name":"Marcin \u0141o\u015b","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u0141o\u015b, Marcin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134256119","display_name":"Andres Medina","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Medina, Andres","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124929662","display_name":"Paulina Sep\u00falveda","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sepulveda, Paulina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134215605","display_name":"Albert Oliver Serra","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Serra, Albert Oliver","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051867074","display_name":"Eirik Valseth","orcid":"https://orcid.org/0000-0001-6940-4191"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Valseth, Eirik","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134281382","display_name":"Anna Paszy\u0144ska","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paszy\u0144ska, Anna","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5126632386","display_name":"Maciej Paszy\u0144ski","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paszy\u0144ski, Maciej","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":10,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.22300000488758087,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.22300000488758087,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.21549999713897705,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.19030000269412994,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5454999804496765},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5042999982833862},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4997999966144562},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4602999985218048},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.44359999895095825},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4169999957084656},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.40619999170303345},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.39809998869895935},{"id":"https://openalex.org/keywords/computer-simulation","display_name":"Computer simulation","score":0.39590001106262207}],"concepts":[{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5454999804496765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5274999737739563},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5042999982833862},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4997999966144562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4814999997615814},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4602999985218048},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44589999318122864},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.44359999895095825},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4169999957084656},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.40619999170303345},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.39809998869895935},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3815000057220459},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.3553999960422516},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3546999990940094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31929999589920044},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.3107999861240387},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C147947694","wikidata":"https://www.wikidata.org/wiki/Q837552","display_name":"Numerical weather prediction","level":2,"score":0.30660000443458557},{"id":"https://openalex.org/C72634772","wikidata":"https://www.wikidata.org/wiki/Q386824","display_name":"Data integration","level":2,"score":0.30000001192092896},{"id":"https://openalex.org/C19269812","wikidata":"https://www.wikidata.org/wiki/Q26540","display_name":"Satellite","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.2930000126361847},{"id":"https://openalex.org/C43012357","wikidata":"https://www.wikidata.org/wiki/Q29744","display_name":"Stiff equation","level":3,"score":0.28519999980926514},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.2782999873161316},{"id":"https://openalex.org/C3019693144","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Time stepping","level":3,"score":0.274399995803833},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2660999894142151},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.2529999911785126}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.19370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.19370","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":"doi:10.48550/arxiv.2604.19370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.19370","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":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.4148816466331482,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,40,82,115,154,168,194],"develop":[1,28],"a":[2,84,104,123,140,171,187,213],"wildfire":[3,71,118,128,145,179],"simulation":[4,113,124,141,180],"model":[5,181],"that":[6,78,103],"evolves":[7],"the":[8,37,42,49,62,67,70,93,96,126,131,143,156,177,197,201,206,210],"temperature":[9],"scalar":[10],"field":[11],"using":[12,33],"an":[13],"energy":[14],"balance":[15],"equation":[16],"accounting":[17],"for":[18,174],"heat":[19],"generation,":[20],"transport,":[21],"and":[22,44,60,159,165],"loss.":[23],"For":[24],"these":[25,54,90],"equations,":[26],"we":[27,56,79,101],"quasi-implicit":[29,105],"time":[30,97,106],"integration":[31,98,107],"schemes":[32],"direction":[34],"splitting":[35,46],"of":[36,66,87,95,125,134,142,191,200,208],"differential":[38],"operators.":[39],"use":[41],"Peaceman-Rachford":[43],"Strang":[45],"methods,":[47],"including":[48],"Crank-Nicolson":[50],"method.":[51],"Based":[52],"on":[53,212],"discretizations,":[55],"derive":[57],"variational":[58],"formulations":[59],"explore":[61],"Kronecker":[63],"product":[64],"structure":[65],"matrices.":[68],"In":[69],"model,":[72],"there":[73],"are":[74],"some":[75],"non-linear":[76],"terms":[77,91],"treat":[80],"explicitly.":[81],"perform":[83],"detailed":[85],"analysis":[86],"how":[88],"treating":[89],"affects":[92],"stability":[94],"scheme.":[99],"Namely,":[100],"show":[102],"scheme":[108],"achieves":[109],"10":[110],"times":[111],"higher":[112],"accuracy.":[114],"present":[116,170,196],"two":[117],"simulations.":[119],"The":[120,136],"first":[121],"is":[122,139],"2024":[127],"disaster":[129,146],"in":[130,147],"Valpara\u00edso":[132],"region":[133],"Chile.":[135],"second":[137],"one":[138],"2019":[144],"Las":[148],"Palmas":[149],"de":[150],"Gran":[151],"Canaria,":[152],"Spain.":[153],"discuss":[155],"numerical":[157,172],"results":[158],"compare":[160],"them":[161],"against":[162],"satellite":[163],"images":[164],"measurement":[166],"records.":[167],"also":[169,195],"experiment":[173],"comparison":[175],"with":[176],"state-of-the-art":[178],"FARSITE.":[182],"Our":[183],"sequential":[184],"code":[185,203,211],"has":[186],"linear":[188],"computational":[189],"cost":[190],"${\\cal":[192],"O}(N)$.":[193],"parallel":[198],"scalability":[199],"WILDFIRE-IGA-ADS":[202],"to":[204],"illustrate":[205],"possibility":[207],"running":[209],"local":[214],"workstation.":[215]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-04-23T00:00:00"}
