{"id":"https://openalex.org/W2114136465","doi":"https://doi.org/10.1177/109434208900300304","title":"The Element By Element Method as a Preconditioner for Linear Systems Coming From Finite Element Models","display_name":"The Element By Element Method as a Preconditioner for Linear Systems Coming From Finite Element Models","publication_year":1989,"publication_date":"1989-09-01","ids":{"openalex":"https://openalex.org/W2114136465","doi":"https://doi.org/10.1177/109434208900300304","mag":"2114136465"},"language":"en","primary_location":{"id":"doi:10.1177/109434208900300304","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434208900300304","pdf_url":null,"source":{"id":"https://openalex.org/S4210187582","display_name":"The International Journal of Supercomputing Applications","issn_l":"0890-2720","issn":["0890-2720"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Supercomputing Applications","raw_type":"journal-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/A5088225076","display_name":"Armel de La Bourdonnaye","orcid":null},"institutions":[{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Armel de La Bourdonnaye","raw_affiliation_strings":["ONERA, DMI/PARALLEL COMPUTING GROUP CHATILLON, FRANCE"],"affiliations":[{"raw_affiliation_string":"ONERA, DMI/PARALLEL COMPUTING GROUP CHATILLON, FRANCE","institution_ids":["https://openalex.org/I2801658355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088225076"],"corresponding_institution_ids":["https://openalex.org/I2801658355"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.25675071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"3","first_page":"60","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/preconditioner","display_name":"Preconditioner","score":0.9496818780899048},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7012895345687866},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6785851716995239},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.635662317276001},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6160761117935181},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4818616807460785},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.37810203433036804},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37721776962280273},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3349847197532654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3174890875816345},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1374996304512024},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10189908742904663},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.0963822603225708}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9496818780899048},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7012895345687866},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6785851716995239},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.635662317276001},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6160761117935181},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4818616807460785},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.37810203433036804},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37721776962280273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3349847197532654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3174890875816345},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1374996304512024},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10189908742904663},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.0963822603225708},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/109434208900300304","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434208900300304","pdf_url":null,"source":{"id":"https://openalex.org/S4210187582","display_name":"The International Journal of Supercomputing Applications","issn_l":"0890-2720","issn":["0890-2720"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Supercomputing Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W604569794","https://openalex.org/W2073168606","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W2357336958","https://openalex.org/W2159515580","https://openalex.org/W1972467547","https://openalex.org/W2059625160","https://openalex.org/W2091325992","https://openalex.org/W2006453807","https://openalex.org/W3194092090","https://openalex.org/W1758973489","https://openalex.org/W1969582418","https://openalex.org/W1429949169"],"abstract_inverted_index":{"Since":[0],"in":[1,26],"many":[2],"finite":[3],"element":[4,40],"problems,":[5],"lots":[6],"of":[7,16,56],"opera":[8],"tions":[9],"are":[10],"repetitive":[11],"on":[12,59],"elements,":[13],"it":[14],"is":[15],"great":[17],"interest":[18],"to":[19,28],"study":[20],"methods":[21,41],"that":[22],"use":[23],"this":[24],"repetition":[25],"order":[27],"vec":[29],"torize":[30],"and":[31],"parallelize":[32],"the":[33,47,54],"computation.":[34],"Among":[35],"these":[36],"ele":[37],"ment":[38],"by":[39],"we":[42],"present":[43,53],"a":[44],"preconditioner":[45],"for":[46],"conjugate":[48],"gradient":[49],"algorithm.":[50],"We":[51],"also":[52],"results":[55],"computations":[57],"run":[58],"an":[60],"Alliant":[61],"FX/8":[62],"machine.":[63]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
