{"id":"https://openalex.org/W2075769820","doi":"https://doi.org/10.1142/s0129053395000117","title":"FACTORIZED SPARSE APPROXIMATE INVERSE PRECONDITIONING II: SOLUTION OF 3D FE SYSTEMS ON MASSIVELY PARALLEL COMPUTERS","display_name":"FACTORIZED SPARSE APPROXIMATE INVERSE PRECONDITIONING II: SOLUTION OF 3D FE SYSTEMS ON MASSIVELY PARALLEL COMPUTERS","publication_year":1995,"publication_date":"1995-06-01","ids":{"openalex":"https://openalex.org/W2075769820","doi":"https://doi.org/10.1142/s0129053395000117","mag":"2075769820"},"language":"en","primary_location":{"id":"doi:10.1142/s0129053395000117","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129053395000117","pdf_url":null,"source":{"id":"https://openalex.org/S112418432","display_name":"International Journal of High Speed Computing","issn_l":"0129-0533","issn":["0129-0533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of High Speed Computing","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/A5109536434","display_name":"L. Yu. Kolotilina","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L. YU. KOLOTILINA","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5035303125","display_name":"A. Yu. Yeremin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. YU. YEREMIN","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109536434"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0421,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.76584631,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"07","issue":"02","first_page":"191","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9979000091552734,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/massively-parallel","display_name":"Massively parallel","score":0.8475889563560486},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.7163912653923035},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5502550005912781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5382466316223145},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4647720456123352},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.4249858856201172},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28447818756103516}],"concepts":[{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.8475889563560486},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.7163912653923035},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5502550005912781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5382466316223145},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4647720456123352},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.4249858856201172},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28447818756103516},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129053395000117","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129053395000117","pdf_url":null,"source":{"id":"https://openalex.org/S112418432","display_name":"International Journal of High Speed Computing","issn_l":"0129-0533","issn":["0129-0533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of High Speed Computing","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2000045872","https://openalex.org/W2015379626","https://openalex.org/W2123466504","https://openalex.org/W2000584869","https://openalex.org/W1569321758","https://openalex.org/W1970172627","https://openalex.org/W2156043935","https://openalex.org/W4235962491","https://openalex.org/W2619194250","https://openalex.org/W2077672232"],"abstract_inverted_index":{"An":[0],"iterative":[1],"method":[2,21],"for":[3,47,67,86,91],"solving":[4],"large":[5],"linear":[6,92],"systems":[7],"with":[8],"sparse":[9],"symmetric":[10],"positive":[11],"definite":[12],"matrices":[13],"on":[14,24],"massively":[15],"parallel":[16],"computers":[17],"is":[18,22,45,59,83],"suggested.":[19,74],"The":[20],"based":[23],"the":[25,42,55,69,80,87,103],"Factorized":[26],"Sparse":[27],"Approximate":[28],"Inverse":[29],"(FSAI)":[30],"preconditioning":[31],"of":[32,37,41,54,79,102],"\u2018parallel\u2019":[33],"CG":[34],"iterations.":[35],"Efficiency":[36],"a":[38,48],"concurrent":[39],"implementation":[40],"FSAI-CG":[43],"iterations":[44,82],"analyzed":[46],"model":[49],"hypercube,":[50],"and":[51,100],"an":[52],"estimate":[53],"optimal":[56],"hypercube":[57],"dimension":[58],"derived.":[60],"For":[61],"finite":[62],"element":[63],"applications,":[64],"two":[65],"strategies":[66],"selecting":[68],"preconditioner":[70],"sparsity":[71],"pattern":[72],"are":[73],"A":[75],"high":[76],"convergence":[77],"rate":[78],"resulting":[81],"demonstrated":[84],"numerically":[85],"3D":[88],"equilibrium":[89],"equations":[90],"elastic":[93],"orthotropic":[94],"materials":[95],"approximated":[96],"using":[97],"both":[98],"h-":[99],"p-versions":[101],"FEM.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}