{"id":"https://openalex.org/W2540804829","doi":"https://doi.org/10.1137/15m1017946","title":"Teko: A Block Preconditioning Capability with Concrete Example Applications in Navier--Stokes and MHD","display_name":"Teko: A Block Preconditioning Capability with Concrete Example Applications in Navier--Stokes and MHD","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2540804829","doi":"https://doi.org/10.1137/15m1017946","mag":"2540804829"},"language":"en","primary_location":{"id":"doi:10.1137/15m1017946","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1017946","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/1335470","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052883660","display_name":"Eric C. Cyr","orcid":"https://orcid.org/0000-0003-3833-9598"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric C. Cyr","raw_affiliation_strings":["Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018004800","display_name":"John N. Shadid","orcid":"https://orcid.org/0009-0001-9804-1649"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John N. Shadid","raw_affiliation_strings":["Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062588720","display_name":"Raymond S. Tuminaro","orcid":null},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Raymond S. Tuminaro","raw_affiliation_strings":["Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)","institution_ids":["https://openalex.org/I192454743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I192454743"],"apc_list":null,"apc_paid":null,"fwci":3.124,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.91672925,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"38","issue":"5","first_page":"S307","last_page":"S331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10597","display_name":"Nuclear reactor physics and engineering","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10346","display_name":"Magnetic confinement fusion research","score":0.9722999930381775,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/discretization","display_name":"Discretization","score":0.7846332788467407},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.7709372043609619},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.5079880356788635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4962826371192932},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.4672619700431824},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.4626167118549347},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.40281808376312256},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39073941111564636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3569151759147644},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12433889508247375},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.08707940578460693},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07962474226951599},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07675957679748535}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7846332788467407},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.7709372043609619},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.5079880356788635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4962826371192932},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.4672619700431824},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.4626167118549347},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.40281808376312256},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39073941111564636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3569151759147644},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12433889508247375},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.08707940578460693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07962474226951599},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07675957679748535},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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":2,"locations":[{"id":"doi:10.1137/15m1017946","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1017946","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:1335470","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1335470","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:1335470","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1335470","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1914698198","https://openalex.org/W1964511845","https://openalex.org/W1966322936","https://openalex.org/W1970450084","https://openalex.org/W2000683703","https://openalex.org/W2005215526","https://openalex.org/W2007894711","https://openalex.org/W2022916138","https://openalex.org/W2025125297","https://openalex.org/W2031768644","https://openalex.org/W2034434606","https://openalex.org/W2050206349","https://openalex.org/W2054034220","https://openalex.org/W2065232773","https://openalex.org/W2084152377","https://openalex.org/W2091448994","https://openalex.org/W2093753671","https://openalex.org/W2104304172","https://openalex.org/W2106822689","https://openalex.org/W2109551514","https://openalex.org/W2121290637","https://openalex.org/W2125626581","https://openalex.org/W2133248904","https://openalex.org/W2137512990","https://openalex.org/W2163232451","https://openalex.org/W2259663966"],"related_works":["https://openalex.org/W1492103595","https://openalex.org/W2364741597","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947","https://openalex.org/W2370926798"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"the":[3,21,35,51,55,65,100,103,110],"design":[4,17,43],"of":[5,23,37,54,102,112],"Teko,":[6],"an":[7,77],"object-oriented":[8],"C++":[9],"library":[10],"for":[11,46],"implementing":[12],"advanced":[13,118],"block":[14,24,81],"preconditioners.":[15],"Mathematical":[16],"criteria":[18],"that":[19,71],"elucidate":[20],"needs":[22],"preconditioning":[25,82,114],"libraries":[26],"and":[27,31,61,93],"techniques":[28],"are":[29,69],"explained":[30,70],"shown":[32],"to":[33,48,57,75,98,117],"motivate":[34],"structure":[36],"Teko.":[38,85],"For":[39],"instance,":[40],"a":[41,73],"principal":[42],"choice":[44],"was":[45],"Teko":[47,87,104],"strongly":[49],"reflect":[50],"mathematical":[52],"statement":[53],"preconditioners":[56],"reduce":[58],"development":[59],"burden":[60],"permit":[62],"focus":[63],"on":[64,90],"numerics.":[66],"Additional":[67],"mechanisms":[68],"provide":[72],"pathway":[74],"developing":[76],"optimized":[78],"production":[79],"capable":[80],"capability":[83],"with":[84],"Finally,":[86],"is":[88],"demonstrated":[89],"fluid":[91],"flow":[92],"magnetohydrodynamics":[94],"applications.":[95],"In":[96],"addition":[97],"highlighting":[99],"features":[101],"library,":[105],"these":[106],"new":[107],"results":[108],"illustrate":[109],"effectiveness":[111],"recent":[113],"developments":[115],"applied":[116],"discretization":[119],"approaches.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
