{"id":"https://openalex.org/W2128518767","doi":"https://doi.org/10.1007/s002110000160","title":"Effective preconditioning of Uzawa type schemes for a generalized Stokes problem","display_name":"Effective preconditioning of Uzawa type schemes for a generalized Stokes problem","publication_year":2000,"publication_date":"2000-09-01","ids":{"openalex":"https://openalex.org/W2128518767","doi":"https://doi.org/10.1007/s002110000160","mag":"2128518767"},"language":"en","primary_location":{"id":"doi:10.1007/s002110000160","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110000160","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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/A5113624648","display_name":"G. M. Kobelkov","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Georgij M. Kobelkov","raw_affiliation_strings":["Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia; e-mail: max@big.lkm.msu.ru, , , , , , RU","Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia; e-mail: max@big.lkm.msu.ru, , , , , , RU","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077985757","display_name":"Maxim A. Olshanskii","orcid":"https://orcid.org/0000-0002-9102-6833"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Maxim A. Olshanskii","raw_affiliation_strings":["Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia; e-mail: max@big.lkm.msu.ru, , , , , , RU","Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia; e-mail: max@big.lkm.msu.ru, , , , , , RU","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113624648"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6583,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.83873626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"86","issue":"3","first_page":"443","last_page":"470"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9922999739646912,"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/mathematics","display_name":"Mathematics","score":0.9255765676498413},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8968337774276733},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.7662658095359802},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5752280354499817},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5116527676582336},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5059265494346619},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4892670810222626},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4831685423851013},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4445631206035614},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.4379814863204956},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4357849955558777},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.4291120767593384},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4193265438079834},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4090317487716675},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16116765141487122},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.1167062520980835},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.10739314556121826},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07108226418495178}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9255765676498413},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8968337774276733},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.7662658095359802},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5752280354499817},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5116527676582336},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5059265494346619},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4892670810222626},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4831685423851013},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4445631206035614},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.4379814863204956},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4357849955558777},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.4291120767593384},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4193265438079834},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4090317487716675},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16116765141487122},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.1167062520980835},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.10739314556121826},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07108226418495178},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002110000160","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110000160","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W651806587","https://openalex.org/W1674659126","https://openalex.org/W1974940105","https://openalex.org/W1985340647","https://openalex.org/W1997305590","https://openalex.org/W1999331305","https://openalex.org/W2004291775","https://openalex.org/W2008893060","https://openalex.org/W2015584700","https://openalex.org/W2033492814","https://openalex.org/W2057547853","https://openalex.org/W2062861068","https://openalex.org/W2069093972","https://openalex.org/W2076582418","https://openalex.org/W2078843646","https://openalex.org/W2085581918","https://openalex.org/W2162482821","https://openalex.org/W2169229522","https://openalex.org/W2324889455","https://openalex.org/W2477040106"],"related_works":["https://openalex.org/W2277328098","https://openalex.org/W1964968800","https://openalex.org/W1987832651","https://openalex.org/W68723791","https://openalex.org/W1572097765","https://openalex.org/W2024381649","https://openalex.org/W2127652433","https://openalex.org/W2062832849","https://openalex.org/W2950304429","https://openalex.org/W2049453059"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
