{"id":"https://openalex.org/W7117292202","doi":"https://doi.org/10.48550/arxiv.2512.20732","title":"FEM-Bench: A Structured Scientific Reasoning Benchmark for Evaluating Code-Generating LLMs","display_name":"FEM-Bench: A Structured Scientific Reasoning Benchmark for Evaluating Code-Generating LLMs","publication_year":2025,"publication_date":"2025-12-23","ids":{"openalex":"https://openalex.org/W7117292202","doi":"https://doi.org/10.48550/arxiv.2512.20732"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2512.20732","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.20732","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.2512.20732","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023605156","display_name":"Saeed Mohammadzadeh","orcid":"https://orcid.org/0000-0001-9879-044X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mohammadzadeh, Saeed","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121346969","display_name":"Erfan Hamdi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hamdi, Erfan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121321919","display_name":"Joel Shor","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shor, Joel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5071729064","display_name":"Emma Lejeune","orcid":"https://orcid.org/0000-0001-8099-3468"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lejeune, Emma","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5023605156"],"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/T11948","display_name":"Machine Learning in Materials Science","score":0.5932999849319458,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11948","display_name":"Machine Learning in Materials Science","score":0.5932999849319458,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11986","display_name":"Scientific Computing and Data Management","score":0.06889999657869339,"subfield":{"id":"https://openalex.org/subfields/1802","display_name":"Information Systems and Management"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.04560000076889992,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7390000224113464},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5113000273704529},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.4415000081062317},{"id":"https://openalex.org/keywords/computational-model","display_name":"Computational model","score":0.4101000130176544},{"id":"https://openalex.org/keywords/physical-system","display_name":"Physical system","score":0.35760000348091125},{"id":"https://openalex.org/keywords/scientific-reasoning","display_name":"Scientific reasoning","score":0.35440000891685486},{"id":"https://openalex.org/keywords/scientific-modelling","display_name":"Scientific modelling","score":0.34360000491142273}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7390000224113464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5913000106811523},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5113000273704529},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.5060999989509583},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.4415000081062317},{"id":"https://openalex.org/C66024118","wikidata":"https://www.wikidata.org/wiki/Q1122506","display_name":"Computational model","level":2,"score":0.4101000130176544},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3587999939918518},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.35760000348091125},{"id":"https://openalex.org/C2992562121","wikidata":"https://www.wikidata.org/wiki/Q3817808","display_name":"Scientific reasoning","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C138379479","wikidata":"https://www.wikidata.org/wiki/Q1116876","display_name":"Scientific modelling","level":2,"score":0.34360000491142273},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.34139999747276306},{"id":"https://openalex.org/C184356942","wikidata":"https://www.wikidata.org/wiki/Q830382","display_name":"Best practice","level":2,"score":0.3398999869823456},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.3361000120639801},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.32350000739097595},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.263700008392334},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C6314898","wikidata":"https://www.wikidata.org/wiki/Q14632398","display_name":"Physical science","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.25189998745918274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2512.20732","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.20732","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.2512.20732","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.20732","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":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.590515673160553}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"As":[0],"LLMs":[1,120,178],"advance":[2],"their":[3,17,175],"reasoning":[4,60,87,103],"capabilities":[5],"about":[6,88],"the":[7,10,43,117,168,172,191],"physical":[8,23,46,69,84,102,158],"world,":[9],"absence":[11],"of":[12,45,83,119,136,167,184,228],"rigorous":[13],"benchmarks":[14],"for":[15,57,242],"evaluating":[16,243],"ability":[18,118],"to":[19,41,97,115,121,255],"generate":[20,122],"scientifically":[21],"valid":[22],"models":[24,37,82,232,259],"has":[25],"become":[26],"a":[27,110,134,145,164,187,239],"critical":[28],"gap.":[29],"Computational":[30],"mechanics,":[31],"which":[32],"develops":[33],"and":[34,38,51,70,73,86,92,104,128,157,207,247],"applies":[35],"mathematical":[36,65],"numerical":[39,71,156],"methods":[40],"predict":[42],"behavior":[44],"systems":[47,85],"under":[48],"forces,":[49],"deformation,":[50],"constraints,":[52,72],"provides":[53],"an":[54,223],"ideal":[55],"foundation":[56,241],"structured":[58,240],"scientific":[59,245],"evaluation.":[61],"Problems":[62],"follow":[63],"clear":[64],"structure,":[66],"enforce":[67],"strict":[68],"support":[74],"objective":[75],"verification.":[76],"The":[77,213],"discipline":[78],"requires":[79],"constructing":[80],"explicit":[81],"geometry,":[89],"spatial":[90],"relationships,":[91],"material":[93,143],"behavior,":[94],"connecting":[95],"directly":[96],"emerging":[98],"AI":[99],"goals":[100],"in":[101,171],"world":[105],"modeling.":[106],"We":[107],"introduce":[108],"FEM-Bench,":[109],"computational":[111,150],"mechanics":[112],"benchmark":[113],"designed":[114],"evaluate":[116],"correct":[123],"finite":[124],"element":[125],"method":[126],"(FEM)":[127],"related":[129],"code.":[130],"FEM-Bench":[131,237],"2025":[132],"contains":[133],"suite":[135],"introductory":[137],"but":[138],"nontrivial":[139],"tasks":[140,153,203,209,254],"aligned":[141],"with":[142],"from":[144],"first":[146],"graduate":[147],"course":[148],"on":[149],"mechanics.":[151],"These":[152],"capture":[154],"essential":[155],"modeling":[159],"challenges":[160],"while":[161],"representing":[162],"only":[163],"small":[165],"fraction":[166],"complexity":[169],"present":[170],"discipline.":[173],"Despite":[174],"simplicity,":[176],"state-of-the-art":[177],"do":[179],"not":[180],"reliably":[181],"solve":[182],"all":[183,210],"them.":[185],"In":[186],"five":[188,211],"attempt":[189],"run,":[190],"best":[192,214],"performing":[193,215],"model":[194,216],"at":[195,204,217],"function":[196],"writing,":[197,220],"Gemini":[198],"3":[199],"Pro,":[200],"completed":[201],"30/33":[202],"least":[205],"once":[206],"26/33":[208],"times.":[212],"unit":[218],"test":[219],"GPT-5,":[221],"had":[222],"Average":[224],"Joint":[225],"Success":[226],"Rate":[227],"73.8%.":[229],"Other":[230],"popular":[231],"showed":[233],"broad":[234],"performance":[235],"variation.":[236],"establishes":[238],"AI-generated":[244],"code,":[246],"future":[248],"iterations":[249],"will":[250],"incorporate":[251],"increasingly":[252],"sophisticated":[253],"track":[256],"progress":[257],"as":[258],"evolve.":[260]},"counts_by_year":[],"updated_date":"2025-12-26T23:12:39.385286","created_date":"2025-12-26T00:00:00"}
