{"id":"https://openalex.org/W2919988584","doi":"https://doi.org/10.1007/s40314-019-0804-x","title":"The multigrid method for the combined hybrid elements of elasticity mechanical problem","display_name":"The multigrid method for the combined hybrid elements of elasticity mechanical problem","publication_year":2019,"publication_date":"2019-03-05","ids":{"openalex":"https://openalex.org/W2919988584","doi":"https://doi.org/10.1007/s40314-019-0804-x","mag":"2919988584"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-019-0804-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-019-0804-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5100646197","display_name":"Huiling Wang","orcid":"https://orcid.org/0000-0002-3871-1858"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huiling Wang","raw_affiliation_strings":["Research Center for Computational Science, Northwestern Polytechnical University, Xi\u2019an, 710129, Shaanxi, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Research Center for Computational Science, Northwestern Polytechnical University, Xi\u2019an, 710129, Shaanxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069200204","display_name":"Yufeng Nie","orcid":"https://orcid.org/0000-0001-7881-5806"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufeng Nie","raw_affiliation_strings":["Research Center for Computational Science, Northwestern Polytechnical University, Xi\u2019an, 710129, Shaanxi, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Research Center for Computational Science, Northwestern Polytechnical University, Xi\u2019an, 710129, Shaanxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050754103","display_name":"Zhanbin Yuan","orcid":"https://orcid.org/0000-0001-7701-0467"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhanbin Yuan","raw_affiliation_strings":["Research Center for Computational Science, Northwestern Polytechnical University, Xi\u2019an, 710129, Shaanxi, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Research Center for Computational Science, Northwestern Polytechnical University, Xi\u2019an, 710129, Shaanxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100655440","display_name":"Ling Zhang","orcid":"https://orcid.org/0000-0002-7674-9910"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Zhang","raw_affiliation_strings":["Research Center for Computational Science, Northwestern Polytechnical University, Xi\u2019an, 710129, Shaanxi, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Research Center for Computational Science, Northwestern Polytechnical University, Xi\u2019an, 710129, Shaanxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100646197"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02519598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"2","first_page":null,"last_page":null},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9958000183105469,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9926999807357788,"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/finite-element-method","display_name":"Finite element method","score":0.79135662317276},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7619137763977051},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.6794398427009583},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6570013165473938},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6015741229057312},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.534736156463623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5161312818527222},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.5019927024841309},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49924540519714355},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46563971042633057},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45096781849861145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35253018140792847},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31485193967819214},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2354150414466858},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.09333324432373047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08127537369728088}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.79135662317276},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7619137763977051},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.6794398427009583},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6570013165473938},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6015741229057312},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.534736156463623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5161312818527222},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.5019927024841309},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49924540519714355},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46563971042633057},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45096781849861145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35253018140792847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31485193967819214},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2354150414466858},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.09333324432373047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08127537369728088},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/s40314-019-0804-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-019-0804-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G5662036298","display_name":null,"funder_award_id":"No. 11471262","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W611913368","https://openalex.org/W1708679080","https://openalex.org/W1852082788","https://openalex.org/W1965791168","https://openalex.org/W1975881111","https://openalex.org/W1980158900","https://openalex.org/W1984217711","https://openalex.org/W1986273871","https://openalex.org/W1994751419","https://openalex.org/W2003746952","https://openalex.org/W2004175401","https://openalex.org/W2021921526","https://openalex.org/W2025095941","https://openalex.org/W2027061160","https://openalex.org/W2028357997","https://openalex.org/W2038732088","https://openalex.org/W2064625750","https://openalex.org/W2068511227","https://openalex.org/W2068968600","https://openalex.org/W2081883080","https://openalex.org/W2154640771","https://openalex.org/W3149667697","https://openalex.org/W4241126398"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W2625595466","https://openalex.org/W2349420447","https://openalex.org/W2058418735","https://openalex.org/W4388482258"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
