{"id":"https://openalex.org/W3206847052","doi":"https://doi.org/10.1145/3458817.3476220","title":"Scalable adaptive PDE solvers in arbitrary domains","display_name":"Scalable adaptive PDE solvers in arbitrary domains","publication_year":2021,"publication_date":"2021-10-21","ids":{"openalex":"https://openalex.org/W3206847052","doi":"https://doi.org/10.1145/3458817.3476220","mag":"3206847052"},"language":"en","primary_location":{"id":"doi:10.1145/3458817.3476220","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3458817.3476220","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3458817.3476220","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3458817.3476220","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101835669","display_name":"Kumar Saurabh","orcid":"https://orcid.org/0000-0003-2503-367X"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kumar Saurabh","raw_affiliation_strings":["Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032870358","display_name":"Masado Ishii","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Masado Ishii","raw_affiliation_strings":["University of Utah"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011757599","display_name":"Milinda Fernando","orcid":"https://orcid.org/0000-0002-5502-9367"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Milinda Fernando","raw_affiliation_strings":["University of Utah"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036475039","display_name":"Boshun Gao","orcid":"https://orcid.org/0000-0002-2401-0786"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Boshun Gao","raw_affiliation_strings":["Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055973774","display_name":"Kendrick Tan","orcid":"https://orcid.org/0000-0002-2154-2824"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kendrick Tan","raw_affiliation_strings":["Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086930177","display_name":"Ming\u2010Chen Hsu","orcid":"https://orcid.org/0000-0001-8062-8612"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ming-Chen Hsu","raw_affiliation_strings":["Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065490117","display_name":"Adarsh Krishnamurthy","orcid":"https://orcid.org/0000-0002-5900-1863"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adarsh Krishnamurthy","raw_affiliation_strings":["Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051806400","display_name":"Hari Sundar","orcid":"https://orcid.org/0000-0001-9001-5107"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hari Sundar","raw_affiliation_strings":["University of Utah"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011704511","display_name":"Baskar Ganapathysubramanian","orcid":"https://orcid.org/0000-0002-8931-4852"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Baskar Ganapathysubramanian","raw_affiliation_strings":["Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9993000030517578,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9993000030517578,"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":0.9925000071525574,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9923999905586243,"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/octree","display_name":"Octree","score":0.7980372905731201},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7051832675933838},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6049866080284119},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5920846462249756},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5758400559425354},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5409989356994629},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.4681551456451416},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4492088258266449},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.41734176874160767},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3797691762447357},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34914907813072205},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34864190220832825},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.332038551568985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24454301595687866},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1529516875743866}],"concepts":[{"id":"https://openalex.org/C141297171","wikidata":"https://www.wikidata.org/wiki/Q1143237","display_name":"Octree","level":2,"score":0.7980372905731201},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7051832675933838},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6049866080284119},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5920846462249756},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5758400559425354},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5409989356994629},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.4681551456451416},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4492088258266449},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.41734176874160767},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3797691762447357},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34914907813072205},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34864190220832825},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.332038551568985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24454301595687866},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1529516875743866},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3458817.3476220","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3458817.3476220","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3458817.3476220","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2108.03757","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2108.03757","pdf_url":"https://arxiv.org/pdf/2108.03757","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1145/3458817.3476220","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3458817.3476220","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3458817.3476220","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1973711714","display_name":null,"funder_award_id":"CMMI:1644441","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2110299813","display_name":"INFEWS / T1: Social and biophysical models to integrate local food systems, climate dynamics, built forms, and environmental impacts in the urban FEWS nexus","funder_award_id":"1855902","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2484836937","display_name":"CAREER:  GPU-Accelerated Framework for Integrated Modeling and Biomechanics Simulations of Cardiac Systems","funder_award_id":"1750865","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2771773626","display_name":"CM: Machine-Learning Driven Decision Support in Design for Manufacturability","funder_award_id":"1644441","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2830885206","display_name":"Characterization of onset of dynamic stall for low Mach number flows","funder_award_id":"1935255","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6023968126","display_name":"CDS&E: Collaborative Research: Strategies for Managing Data in Uncertainty Quantification at Extreme Scales","funder_award_id":"1808652","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8001105718","display_name":null,"funder_award_id":"CMMI:1644441","funder_id":"https://openalex.org/F4320337391","funder_display_name":"Division of Civil, Mechanical and Manufacturing Innovation"},{"id":"https://openalex.org/G8098366682","display_name":null,"funder_award_id":"1935255","funder_id":"https://openalex.org/F4320337390","funder_display_name":"Division of Chemical, Bioengineering, Environmental, and Transport Systems"},{"id":"https://openalex.org/G8652641590","display_name":null,"funder_award_id":"OAC:1750865","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337390","display_name":"Division of Chemical, Bioengineering, Environmental, and Transport Systems","ror":"https://ror.org/0471zv972"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3206847052.pdf","grobid_xml":"https://content.openalex.org/works/W3206847052.grobid-xml"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W596834316","https://openalex.org/W643775974","https://openalex.org/W1493774699","https://openalex.org/W1589492941","https://openalex.org/W1651373482","https://openalex.org/W1788335260","https://openalex.org/W1872788275","https://openalex.org/W1974122416","https://openalex.org/W1975943852","https://openalex.org/W1979313559","https://openalex.org/W1984612786","https://openalex.org/W1986242638","https://openalex.org/W1995417742","https://openalex.org/W2018680148","https://openalex.org/W2018729690","https://openalex.org/W2020152794","https://openalex.org/W2027441589","https://openalex.org/W2041605615","https://openalex.org/W2048007344","https://openalex.org/W2056087726","https://openalex.org/W2057397181","https://openalex.org/W2066222663","https://openalex.org/W2066486563","https://openalex.org/W2079118382","https://openalex.org/W2079437780","https://openalex.org/W2080186427","https://openalex.org/W2095006601","https://openalex.org/W2095606021","https://openalex.org/W2145144883","https://openalex.org/W2145851836","https://openalex.org/W2152032799","https://openalex.org/W2156453104","https://openalex.org/W2160746816","https://openalex.org/W2169449347","https://openalex.org/W2257775712","https://openalex.org/W2396528120","https://openalex.org/W2579413848","https://openalex.org/W2633357585","https://openalex.org/W2734424664","https://openalex.org/W2743257452","https://openalex.org/W2767049640","https://openalex.org/W2781045141","https://openalex.org/W2912232378","https://openalex.org/W2949384223","https://openalex.org/W2949666040","https://openalex.org/W2963145016","https://openalex.org/W2986811336","https://openalex.org/W3001814622","https://openalex.org/W3080938804","https://openalex.org/W3082818287","https://openalex.org/W3084837998","https://openalex.org/W3094336664","https://openalex.org/W3102290318","https://openalex.org/W3120681047","https://openalex.org/W3124694492","https://openalex.org/W3150574921","https://openalex.org/W3216981224","https://openalex.org/W4245507943","https://openalex.org/W4256398507","https://openalex.org/W6968420241"],"related_works":["https://openalex.org/W4380081602","https://openalex.org/W2025881859","https://openalex.org/W3041210046","https://openalex.org/W3196835088","https://openalex.org/W3120681047","https://openalex.org/W4311256036","https://openalex.org/W2073633980","https://openalex.org/W1451632959","https://openalex.org/W2320335999","https://openalex.org/W3215688376"],"abstract_inverted_index":{"Efficiently":[0],"and":[1,9,87,109],"accurately":[2],"simulating":[3],"partial":[4],"differential":[5],"equations":[6],"(PDEs)":[7],"in":[8,30,153],"around":[10,73],"arbitrarily":[11,59],"defined":[12],"geometries,":[13],"especially":[14],"with":[15],"high":[16],"levels":[17],"of":[18,38,56,124],"adaptivity,":[19],"has":[20],"significant":[21],"implications":[22],"for":[23,70,115,120],"different":[24],"application":[25],"domains.":[26],"A":[27],"key":[28],"bottleneck":[29],"the":[31,35,64,101,112,131,138],"above":[32],"process":[33],"is":[34],"fast":[36],"construction":[37],"a":[39,118,121,141,145],"`good'":[40],"adaptively-refined":[41],"mesh.":[42],"In":[43],"this":[44],"work,":[45],"we":[46,136],"present":[47],"an":[48,67,80],"efficient":[49,85],"novel":[50],"octree-based":[51],"adaptive":[52],"discretization":[53],"approach":[54],"capable":[55],"carving":[57],"out":[58,77],"shaped":[60],"void":[61],"regions":[62],"from":[63],"parent":[65],"domain:":[66],"essential":[68],"requirement":[69],"fluid":[71],"simulations":[72],"complex":[74],"objects.":[75],"Carving":[76],"objects":[78],"produces":[79],"incomplete":[81,97],"octree.":[82],"We":[83,99],"develop":[84],"top-down":[86],"bottom-up":[88],"traversal":[89],"methods":[90],"to":[91,148],"perform":[92],"finite":[93],"element":[94],"computations":[95],"on":[96,140,144],"octrees.":[98],"validate":[100],"framework":[102,139],"by":[103],"(a)":[104],"showing":[105],"appropriate":[106],"convergence":[107],"analysis":[108],"(b)":[110],"computing":[111],"drag":[113,132],"coefficient":[114],"flow":[116],"past":[117],"sphere":[119],"wide":[122],"range":[123],"Reynolds":[125],"numbers":[126],"(O(1":[127],"-":[128],"106))":[129],"encompassing":[130],"crisis":[133],"regime.":[134],"Finally,":[135],"deploy":[137],"realistic":[142],"geometry":[143],"current":[146],"project":[147],"evaluate":[149],"COVID-19":[150],"transmission":[151],"risk":[152],"classrooms.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
