{"id":"https://openalex.org/W2122441219","doi":"https://doi.org/10.1007/s00211-009-0232-8","title":"Robust multigrid method for the planar linear elasticity problems","display_name":"Robust multigrid method for the planar linear elasticity problems","publication_year":2009,"publication_date":"2009-05-18","ids":{"openalex":"https://openalex.org/W2122441219","doi":"https://doi.org/10.1007/s00211-009-0232-8","mag":"2122441219"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-009-0232-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-009-0232-8","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/A5100742029","display_name":"Young-Ju Lee","orcid":"https://orcid.org/0000-0001-5004-8238"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Young-Ju Lee","raw_affiliation_strings":["Department of Mathematics, Rutgers, The State University of New Jersey, Busch Campus, Piscataway, NJ, 08854-8019, USA","Rutgers, The State University of New Jersey, Department of Mathematics, Busch Campus, 08854-8019, Piscataway, NJ, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers, The State University of New Jersey, Busch Campus, Piscataway, NJ, 08854-8019, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers, The State University of New Jersey, Department of Mathematics, Busch Campus, 08854-8019, Piscataway, NJ, USA#TAB#","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100985613","display_name":"Jinbiao Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinbiao Wu","raw_affiliation_strings":["LMAM and School of Mathematical Sciences, Peking University, 100871, Beijing, China","Peking University, LMAM and School of Mathematical Sciences, 100871, Beijing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"LMAM and School of Mathematical Sciences, Peking University, 100871, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Peking University, LMAM and School of Mathematical Sciences, 100871, Beijing, China#TAB#","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034304672","display_name":"Jinru Chen","orcid":"https://orcid.org/0000-0002-2761-2926"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinru Chen","raw_affiliation_strings":["School of Mathematics and Computer Sciences, Nanjing Normal University, 210097, Nanjing, China","Nanjing Normal University, School of Mathematics and Computer Sciences, 210097, Nanjing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Sciences, Nanjing Normal University, 210097, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"Nanjing Normal University, School of Mathematics and Computer Sciences, 210097, Nanjing, China#TAB#","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100742029"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7832,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.85683881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"113","issue":"3","first_page":"473","last_page":"496"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9973000288009644,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.9287866353988647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8334309458732605},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6248695850372314},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5364053845405579},{"id":"https://openalex.org/keywords/linear-elasticity","display_name":"Linear elasticity","score":0.5167433619499207},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5160972476005554},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5159921646118164},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47900623083114624},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4625261425971985},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.4539763927459717},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4303004741668701},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42720723152160645},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4263717532157898},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1107528805732727},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.06727799773216248}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.9287866353988647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8334309458732605},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6248695850372314},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5364053845405579},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.5167433619499207},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5160972476005554},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5159921646118164},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47900623083114624},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4625261425971985},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.4539763927459717},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4303004741668701},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42720723152160645},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4263717532157898},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1107528805732727},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.06727799773216248},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-009-0232-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-009-0232-8","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":26,"referenced_works":["https://openalex.org/W137416925","https://openalex.org/W184031850","https://openalex.org/W209576205","https://openalex.org/W591292934","https://openalex.org/W1530115438","https://openalex.org/W1559891132","https://openalex.org/W1668437634","https://openalex.org/W1674659126","https://openalex.org/W1708679080","https://openalex.org/W1972107924","https://openalex.org/W1988719701","https://openalex.org/W2002135403","https://openalex.org/W2009985306","https://openalex.org/W2014077116","https://openalex.org/W2017085690","https://openalex.org/W2019212238","https://openalex.org/W2026711180","https://openalex.org/W2027061160","https://openalex.org/W2027733726","https://openalex.org/W2075896209","https://openalex.org/W2139155801","https://openalex.org/W2339151134","https://openalex.org/W2610344566","https://openalex.org/W4212951453","https://openalex.org/W4250220742","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W2171218546","https://openalex.org/W1991081991","https://openalex.org/W3176670060","https://openalex.org/W2543276709","https://openalex.org/W3081031083","https://openalex.org/W2001238277"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"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"}
