{"id":"https://openalex.org/W2149420652","doi":"https://doi.org/10.1145/1654059.1654129","title":"Scalable implicit finite element solver for massively parallel processing with demonstration to 160K cores","display_name":"Scalable implicit finite element solver for massively parallel processing with demonstration to 160K cores","publication_year":2009,"publication_date":"2009-11-14","ids":{"openalex":"https://openalex.org/W2149420652","doi":"https://doi.org/10.1145/1654059.1654129","mag":"2149420652"},"language":"en","primary_location":{"id":"doi:10.1145/1654059.1654129","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1654059.1654129","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047734191","display_name":"Onkar Sahni","orcid":"https://orcid.org/0000-0002-7474-6505"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Onkar Sahni","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY"],"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026428593","display_name":"Min Zhou","orcid":"https://orcid.org/0000-0002-8993-5675"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Min Zhou","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY"],"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080270359","display_name":"Mark S. Shephard","orcid":"https://orcid.org/0000-0002-3225-6794"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark S. Shephard","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY"],"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069574368","display_name":"Kenneth E. Jansen","orcid":"https://orcid.org/0000-0002-2135-7143"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth E. Jansen","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY"],"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5047734191"],"corresponding_institution_ids":["https://openalex.org/I165799507"],"apc_list":null,"apc_paid":null,"fwci":9.4553,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.98749623,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"12"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9941999912261963,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.992900013923645,"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/polygon-mesh","display_name":"Polygon mesh","score":0.8630529642105103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.839652955532074},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7934409379959106},{"id":"https://openalex.org/keywords/massively-parallel","display_name":"Massively parallel","score":0.7058622241020203},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6936661005020142},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6651886701583862},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5306412577629089},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.45851823687553406},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.44891083240509033},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3708817958831787},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.0909285843372345},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07907366752624512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.07753601670265198}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8630529642105103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.839652955532074},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7934409379959106},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.7058622241020203},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6936661005020142},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6651886701583862},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5306412577629089},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.45851823687553406},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.44891083240509033},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3708817958831787},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0909285843372345},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07907366752624512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07753601670265198},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1654059.1654129","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1654059.1654129","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1881585278","display_name":null,"funder_award_id":"DE-FC02-06ER25769","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6248885925","display_name":null,"funder_award_id":"OCI-0749152","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"}],"funders":[{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337377","display_name":"Office of Advanced Cyberinfrastructure","ror":"https://ror.org/04nh1dc89"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W158380610","https://openalex.org/W1996594516","https://openalex.org/W2004494416","https://openalex.org/W2004613600","https://openalex.org/W2004951603","https://openalex.org/W2020716766","https://openalex.org/W2028340887","https://openalex.org/W2044157076","https://openalex.org/W2062299875","https://openalex.org/W2063597636","https://openalex.org/W2078819705","https://openalex.org/W2115628961","https://openalex.org/W2132745343","https://openalex.org/W2134514183","https://openalex.org/W2140153041","https://openalex.org/W2146865529","https://openalex.org/W2172014636","https://openalex.org/W4285719527","https://openalex.org/W4401149522","https://openalex.org/W6698319996"],"related_works":["https://openalex.org/W4388257798","https://openalex.org/W3011358647","https://openalex.org/W3183639206","https://openalex.org/W2044628889","https://openalex.org/W2167527468","https://openalex.org/W2365659824","https://openalex.org/W1604758548","https://openalex.org/W2586370661","https://openalex.org/W4367553810","https://openalex.org/W2104142636"],"abstract_inverted_index":{"Implicit":[0],"methods":[1,28],"for":[2,10,15],"partial":[3],"differential":[4],"equations":[5],"using":[6],"unstructured":[7,57],"meshes":[8],"allow":[9],"an":[11],"efficient":[12],"solution":[13,32],"strategy":[14],"many":[16],"real-world":[17],"problems":[18,36],"(e.g.,":[19],"simulation-based":[20],"virtual":[21],"surgical":[22],"planning).":[23],"Scalable":[24],"solvers":[25],"employing":[26],"these":[27],"not":[29],"only":[30],"enable":[31,54],"of":[33],"extremely-large":[34],"practical":[35],"but":[37],"also":[38],"lead":[39],"to":[40,59],"dramatic":[41],"compression":[42],"in":[43],"time-to-solution.":[44],"We":[45],"present":[46],"a":[47],"parallelization":[48],"paradigm":[49],"and":[50],"associated":[51],"procedures":[52],"that":[53],"our":[55],"implicit,":[56],"flow-solver":[58],"achieve":[60],"strong":[61],"scalability.":[62]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}