{"id":"https://openalex.org/W7165621064","doi":"https://doi.org/10.48550/arxiv.2606.20917","title":"NektarIR: A Domain-Specific Compiler for High-Order Finite Element Operations on Heterogeneous Hardware","display_name":"NektarIR: A Domain-Specific Compiler for High-Order Finite Element Operations on Heterogeneous Hardware","publication_year":2026,"publication_date":"2026-06-18","ids":{"openalex":"https://openalex.org/W7165621064","doi":"https://doi.org/10.48550/arxiv.2606.20917"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.20917","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.20917","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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.20917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138640287","display_name":"Edward Erasmie-Jones","orcid":"https://orcid.org/0009-0003-1006-6900"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Erasmie-Jones, Edward","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002443404","display_name":"Giacomo Castiglioni","orcid":"https://orcid.org/0000-0003-0278-6951"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Castiglioni, Giacomo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5063877104","display_name":"David Moxey","orcid":"https://orcid.org/0000-0003-2186-8397"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Moxey, David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":0.5609999895095825,"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":0.5609999895095825,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.15600000321865082,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.0494999997317791,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.7566999793052673},{"id":"https://openalex.org/keywords/bespoke","display_name":"Bespoke","score":0.7405999898910522},{"id":"https://openalex.org/keywords/pipeline","display_name":"Pipeline (software)","score":0.6359000205993652},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.525600016117096},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4821000099182129},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.46050000190734863},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4311999976634979},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.414000004529953},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.40849998593330383}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8148999810218811},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.7566999793052673},{"id":"https://openalex.org/C44210515","wikidata":"https://www.wikidata.org/wiki/Q16968978","display_name":"Bespoke","level":2,"score":0.7405999898910522},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.6359000205993652},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.525600016117096},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5116000175476074},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4821000099182129},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.46050000190734863},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4593999981880188},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4311999976634979},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.414000004529953},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.40849998593330383},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.38359999656677246},{"id":"https://openalex.org/C200833197","wikidata":"https://www.wikidata.org/wiki/Q333707","display_name":"Compile time","level":3,"score":0.38109999895095825},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C139571649","wikidata":"https://www.wikidata.org/wiki/Q1156793","display_name":"Program optimization","level":3,"score":0.3659999966621399},{"id":"https://openalex.org/C118524514","wikidata":"https://www.wikidata.org/wiki/Q173212","display_name":"Computer architecture","level":1,"score":0.36309999227523804},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.3578999936580658},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.30489999055862427},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30219998955726624},{"id":"https://openalex.org/C135257023","wikidata":"https://www.wikidata.org/wiki/Q691358","display_name":"Domain-specific language","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C147358964","wikidata":"https://www.wikidata.org/wiki/Q1200992","display_name":"Abstraction layer","level":3,"score":0.2928999960422516},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C176727019","wikidata":"https://www.wikidata.org/wiki/Q1172415","display_name":"Dataflow architecture","level":3,"score":0.2856999933719635},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.2809999883174896},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C2776937632","wikidata":"https://www.wikidata.org/wiki/Q4117718","display_name":"Program synthesis","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.2639999985694885},{"id":"https://openalex.org/C123657996","wikidata":"https://www.wikidata.org/wiki/Q12271","display_name":"Architecture","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C166955791","wikidata":"https://www.wikidata.org/wiki/Q629579","display_name":"Macro","level":2,"score":0.2581999897956848}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.20917","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.20917","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.20917","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.20917","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":false,"raw_source_name":null,"raw_type":"Preprint"},"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":{"Modern":[0],"high":[1],"performance":[2,129,191],"computing":[3],"(HPC)":[4],"applications":[5],"must":[6],"target":[7,41],"heterogeneous":[8],"hardware.":[9],"This":[10],"requires":[11],"significant":[12],"work":[13],"to":[14,20,35,65,74,78,95,108,144,153,165,175],"ensure":[15],"domain":[16,48,101],"specific":[17,40,49,67,102],"implementations":[18],"translate":[19],"highly":[21],"performant":[22],"kernels":[23,146,182],"across":[24],"a":[25,47,62,75,133,171],"range":[26],"hardware":[27],"types":[28],"and":[29,169,186,189],"vendors,":[30],"each":[31,82],"requiring":[32],"bespoke":[33,172],"optimization":[34],"make":[36],"use":[37,116],"of":[38,46,111,136,180],"the":[39,44,53,66,96,100,109,128,148,177,194],"architecture.":[42],"Through":[43],"development":[45],"compiler":[50],"built":[51],"with":[52,193],"multi-level":[54],"intermediate":[55,83],"representations":[56],"(MLIR)":[57],"project,":[58],"one":[59],"can":[60,88],"express":[61],"high-level,":[63],"close":[64,77],"domain,":[68],"abstraction":[69],"that":[70,141],"is":[71,130],"progressively":[72],"lowered":[73],"low,":[76],"metal,":[79],"abstraction.":[80],"At":[81],"representation":[84],"(IR),":[85],"appropriate":[86],"optimizations":[87],"be":[89],"applied":[90],"without":[91],"costly":[92],"analysis":[93],"due":[94],"knowledge":[97],"embedded":[98],"in":[99,117],"IRs.":[103],"We":[104,159],"apply":[105],"this":[106],"method":[107,120],"construction":[110],"discrete":[112,149],"differential":[113,150,157],"operators":[114,140,151,168],"for":[115,122,147,183],"spectral/hp":[118,196],"element":[119,139,197],"solvers":[121],"computational":[123],"fluid":[124],"dynamics":[125],"(CFD).":[126],"Here,":[127],"driven":[131],"by":[132],"small":[134],"set":[135],"common":[137],"finite":[138],"are":[142],"composed":[143],"create":[145,160],"used":[152],"solve":[154],"weak":[155],"partial":[156],"equations.":[158],"our":[161],"own":[162],"MLIR":[163],"dialect":[164],"represent":[166],"these":[167,181],"implement":[170],"lowering":[173],"pipeline":[174],"facilitate":[176],"just-in-time":[178],"compilation":[179],"both":[184],"CPU":[185],"GPU":[187],"architecture":[188],"illustrate":[190],"comparisons":[192],"Nektar++":[195],"framework.":[198]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-24T00:00:00"}