{"id":"https://openalex.org/W2963009999","doi":"https://doi.org/10.1007/s10915-017-0636-z","title":"Multigrid Methods for Hellan\u2013Herrmann\u2013Johnson Mixed Method of Kirchhoff Plate Bending Problems","display_name":"Multigrid Methods for Hellan\u2013Herrmann\u2013Johnson Mixed Method of Kirchhoff Plate Bending Problems","publication_year":2018,"publication_date":"2018-01-17","ids":{"openalex":"https://openalex.org/W2963009999","doi":"https://doi.org/10.1007/s10915-017-0636-z","mag":"2963009999"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-017-0636-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0636-z","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5100336427","display_name":"Long Chen","orcid":"https://orcid.org/0000-0003-0184-5446"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Long Chen","raw_affiliation_strings":["Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, Beijing, 100124, China","Department of Mathematics, University of California at Irvine, Irvine, CA, 92697, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Department of Mathematics, University of California at Irvine, Irvine, CA, 92697, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028500115","display_name":"Jun Hu","orcid":"https://orcid.org/0000-0002-4565-3000"},"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":"Jun Hu","raw_affiliation_strings":["LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082483290","display_name":"Xuehai Huang","orcid":"https://orcid.org/0000-0003-2966-7426"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuehai Huang","raw_affiliation_strings":["Department of Mathematics, Wenzhou University, Wenzhou, 325035, China"],"raw_orcid":"https://orcid.org/0000-0003-2966-7426","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wenzhou University, Wenzhou, 325035, China","institution_ids":["https://openalex.org/I146620803"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5082483290"],"corresponding_institution_ids":["https://openalex.org/I146620803"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.202,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.77526232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"76","issue":"2","first_page":"673","last_page":"696"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9979000091552734,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/multigrid-method","display_name":"Multigrid method","score":0.8582440614700317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.838194727897644},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5737026333808899},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5335543751716614},{"id":"https://openalex.org/keywords/bending-of-plates","display_name":"Bending of plates","score":0.4650501012802124},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4606902599334717},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.4375796318054199},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4347047805786133},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4281955659389496},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.428066223859787},{"id":"https://openalex.org/keywords/bending","display_name":"Bending","score":0.23973730206489563},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.23772919178009033},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.18137308955192566}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8582440614700317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.838194727897644},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5737026333808899},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5335543751716614},{"id":"https://openalex.org/C108489624","wikidata":"https://www.wikidata.org/wiki/Q17004830","display_name":"Bending of plates","level":3,"score":0.4650501012802124},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4606902599334717},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.4375796318054199},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4347047805786133},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4281955659389496},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.428066223859787},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.23973730206489563},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.23772919178009033},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.18137308955192566},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-017-0636-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0636-z","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1618936413","display_name":null,"funder_award_id":"LY15A010016","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G1722981862","display_name":null,"funder_award_id":"LY17A010010","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G1768009029","display_name":"\u5177\u6709\u5947\u6027\u7684\u591a\u7269\u7406\u573a\u8026\u5408\u7684\u7535\u78c1\u590d\u5408\u6750\u6599\u53ca\u7ed3\u6784\u7684\u591a\u5c3a\u5ea6\u6a21\u578b\u4e0e\u6570\u503c\u6a21\u62df\u65b9\u6cd5\u7814\u7a76","funder_award_id":"11671304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2352675084","display_name":null,"funder_award_id":"LY15A010015","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G2809486088","display_name":"\u5916\u5fae\u79ef\u5206\u7406\u8bba\u53ca\u9ad8\u9636\u692d\u5706\u578b\u65b9\u7a0b\u9ad8\u6548\u6570\u503c\u7b97\u6cd5\u7684\u7814\u7a76","funder_award_id":"11771338","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3762157797","display_name":null,"funder_award_id":"91430213","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G549387526","display_name":null,"funder_award_id":"1418934","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8051312613","display_name":null,"funder_award_id":"11421101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G873693170","display_name":null,"funder_award_id":"11625101","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"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W28084739","https://openalex.org/W235895113","https://openalex.org/W592911714","https://openalex.org/W970782358","https://openalex.org/W1489117158","https://openalex.org/W1502992081","https://openalex.org/W1585767079","https://openalex.org/W1775501378","https://openalex.org/W1968500177","https://openalex.org/W1970753375","https://openalex.org/W1972990483","https://openalex.org/W1975039968","https://openalex.org/W1987308380","https://openalex.org/W1987470495","https://openalex.org/W1988310740","https://openalex.org/W1989201563","https://openalex.org/W1990225789","https://openalex.org/W1994408096","https://openalex.org/W2002410282","https://openalex.org/W2003764670","https://openalex.org/W2007325561","https://openalex.org/W2014744421","https://openalex.org/W2017085690","https://openalex.org/W2017916357","https://openalex.org/W2019212238","https://openalex.org/W2021384293","https://openalex.org/W2023083004","https://openalex.org/W2023930096","https://openalex.org/W2025095941","https://openalex.org/W2028357997","https://openalex.org/W2035837270","https://openalex.org/W2037128168","https://openalex.org/W2038026052","https://openalex.org/W2041523977","https://openalex.org/W2046130209","https://openalex.org/W2048407683","https://openalex.org/W2049646932","https://openalex.org/W2057674773","https://openalex.org/W2061326956","https://openalex.org/W2062819342","https://openalex.org/W2064699269","https://openalex.org/W2067071412","https://openalex.org/W2068511227","https://openalex.org/W2080058602","https://openalex.org/W2082866666","https://openalex.org/W2092902737","https://openalex.org/W2120362522","https://openalex.org/W2138486270","https://openalex.org/W2142304406","https://openalex.org/W2156629649","https://openalex.org/W2157794520","https://openalex.org/W2283070814","https://openalex.org/W2297184705","https://openalex.org/W2299422535","https://openalex.org/W2491027544","https://openalex.org/W2518907075","https://openalex.org/W2612942215","https://openalex.org/W2896773124","https://openalex.org/W2906022956","https://openalex.org/W2911441929","https://openalex.org/W2963397795","https://openalex.org/W2963444390","https://openalex.org/W2963773676","https://openalex.org/W3101547432","https://openalex.org/W3142894564","https://openalex.org/W3149667697","https://openalex.org/W3150163258","https://openalex.org/W4210300254","https://openalex.org/W4241126398","https://openalex.org/W6600007113"],"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/W2501988474","https://openalex.org/W2011091376","https://openalex.org/W2115451617"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}