{"id":"https://openalex.org/W2029591011","doi":"https://doi.org/10.1007/s00211-005-0641-2","title":"Two-level additive Schwarz preconditioners for C0 interior penalty methods","display_name":"Two-level additive Schwarz preconditioners for C0 interior penalty methods","publication_year":2005,"publication_date":"2005-11-10","ids":{"openalex":"https://openalex.org/W2029591011","doi":"https://doi.org/10.1007/s00211-005-0641-2","mag":"2029591011"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-005-0641-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0641-2","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/A5061146602","display_name":"Susanne C. Brenner","orcid":"https://orcid.org/0000-0001-8330-5667"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Susanne C. Brenner","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","Department of Mathematics, University of South Carolina, 29208, Columbia, SC, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, 29208, Columbia, SC, USA#TAB#","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055810502","display_name":"Kening Wang","orcid":"https://orcid.org/0000-0001-5836-8439"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kening Wang","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","Department of Mathematics, University of South Carolina, 29208, Columbia, SC, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, 29208, Columbia, SC, USA#TAB#","institution_ids":["https://openalex.org/I155781252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061146602"],"corresponding_institution_ids":["https://openalex.org/I155781252"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.5497,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.88264166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"102","issue":"2","first_page":"231","last_page":"255"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/additive-schwarz-method","display_name":"Additive Schwarz method","score":0.9093466997146606},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.89952552318573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8501662015914917},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.619085431098938},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5966043472290039},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5339654088020325},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5072250366210938},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.497527152299881},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.44491803646087646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4274721145629883},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42642539739608765},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23951208591461182},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.18656280636787415},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.057368844747543335}],"concepts":[{"id":"https://openalex.org/C174819683","wikidata":"https://www.wikidata.org/wiki/Q4681340","display_name":"Additive Schwarz method","level":4,"score":0.9093466997146606},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.89952552318573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8501662015914917},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.619085431098938},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5966043472290039},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5339654088020325},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5072250366210938},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.497527152299881},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.44491803646087646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4274721145629883},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42642539739608765},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23951208591461182},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.18656280636787415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.057368844747543335},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-005-0641-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0641-2","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"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-1175","is_oa":false,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/176","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W135694094","https://openalex.org/W156697995","https://openalex.org/W184031850","https://openalex.org/W206256087","https://openalex.org/W591292934","https://openalex.org/W1492326914","https://openalex.org/W1540854488","https://openalex.org/W1542243431","https://openalex.org/W1975039968","https://openalex.org/W1977522442","https://openalex.org/W1990225789","https://openalex.org/W1992066344","https://openalex.org/W2008509897","https://openalex.org/W2017073125","https://openalex.org/W2017085690","https://openalex.org/W2024753911","https://openalex.org/W2040011362","https://openalex.org/W2041523977","https://openalex.org/W2051234298","https://openalex.org/W2054781196","https://openalex.org/W2062246266","https://openalex.org/W2064699269","https://openalex.org/W2064991465","https://openalex.org/W2077157253","https://openalex.org/W2092726980","https://openalex.org/W2509362106","https://openalex.org/W4210300254","https://openalex.org/W4250220742"],"related_works":["https://openalex.org/W1647103664","https://openalex.org/W2286395548","https://openalex.org/W2504287632","https://openalex.org/W2069946149","https://openalex.org/W3046643187","https://openalex.org/W1515964003","https://openalex.org/W4241403127","https://openalex.org/W1423765865","https://openalex.org/W2233890230","https://openalex.org/W132556536"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}