{"id":"https://openalex.org/W2413021264","doi":"https://doi.org/10.1007/978-3-319-32152-3_32","title":"Schwarz Preconditioner with Face Based Coarse Space for Multiscale Elliptic Problems in 3D","display_name":"Schwarz Preconditioner with Face Based Coarse Space for Multiscale Elliptic Problems in 3D","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2413021264","doi":"https://doi.org/10.1007/978-3-319-32152-3_32","mag":"2413021264"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-32152-3_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-32152-3_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5012111094","display_name":"Leszek Marcinkowski","orcid":"https://orcid.org/0000-0001-5244-6811"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Leszek Marcinkowski","raw_affiliation_strings":["Faculty of Mathematics, Informatics and Mechanics, Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Informatics and Mechanics, Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102366721","display_name":"Talal Rahman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Talal Rahman","raw_affiliation_strings":["Department of Computing, Mathematics and Physics, Bergen University College, Inndalsveien 28, 5063, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Mathematics and Physics, Bergen University College, Inndalsveien 28, 5063, Bergen, Norway","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012111094"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02504006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"345","last_page":"354"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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/T11558","display_name":"Composite Material Mechanics","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9776595234870911},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7524622678756714},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6901880502700806},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6083879470825195},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5291768908500671},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.5163434743881226},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.5110183954238892},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5034043192863464},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.43564897775650024},{"id":"https://openalex.org/keywords/additive-schwarz-method","display_name":"Additive Schwarz method","score":0.43249380588531494},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4133340120315552},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4130905270576477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37925422191619873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.312980979681015},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2487505078315735},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.16539686918258667},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07467105984687805}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9776595234870911},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7524622678756714},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6901880502700806},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6083879470825195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5291768908500671},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5163434743881226},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.5110183954238892},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5034043192863464},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.43564897775650024},{"id":"https://openalex.org/C174819683","wikidata":"https://www.wikidata.org/wiki/Q4681340","display_name":"Additive Schwarz method","level":4,"score":0.43249380588531494},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4133340120315552},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4130905270576477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37925422191619873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.312980979681015},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2487505078315735},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.16539686918258667},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07467105984687805},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-32152-3_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-32152-3_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W626225718","https://openalex.org/W1519509134","https://openalex.org/W1548589512","https://openalex.org/W1555719125","https://openalex.org/W1977699116","https://openalex.org/W1986442363","https://openalex.org/W1987132801","https://openalex.org/W2018074366","https://openalex.org/W2018190542","https://openalex.org/W2029591011","https://openalex.org/W2030947573","https://openalex.org/W2042643927","https://openalex.org/W2062246266","https://openalex.org/W2066886152","https://openalex.org/W2070232376","https://openalex.org/W2071294284","https://openalex.org/W2082804737","https://openalex.org/W2108533624","https://openalex.org/W2123816848","https://openalex.org/W2126036157","https://openalex.org/W2287583383","https://openalex.org/W2296216300","https://openalex.org/W2963631308","https://openalex.org/W3204708751"],"related_works":["https://openalex.org/W1986812736","https://openalex.org/W2963172443","https://openalex.org/W2471168230","https://openalex.org/W2773710110","https://openalex.org/W4229577910","https://openalex.org/W4301963091","https://openalex.org/W2290784118","https://openalex.org/W1554397852","https://openalex.org/W1877902382","https://openalex.org/W2940255121"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}