{"id":"https://openalex.org/W1977436291","doi":"https://doi.org/10.1007/s00607-006-0162-6","title":"An Algebraic Multigrid Method for Higher-order Finite Element Discretizations","display_name":"An Algebraic Multigrid Method for Higher-order Finite Element Discretizations","publication_year":2006,"publication_date":"2006-04-28","ids":{"openalex":"https://openalex.org/W1977436291","doi":"https://doi.org/10.1007/s00607-006-0162-6","mag":"1977436291"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-006-0162-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-006-0162-6","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"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/A5102767325","display_name":"Shi Shu","orcid":"https://orcid.org/0000-0002-5552-3840"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"S. Shu","raw_affiliation_strings":["Department of Mathematics, Xiangtan University, Hunan, 411105, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Xiangtan University, Hunan, 411105, P.R. China","institution_ids":["https://openalex.org/I4610292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006556640","display_name":"D. Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"D. Sun","raw_affiliation_strings":["Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Sciences, Academia Sinica, P.O. Box 2719, Beijing, 100080, P.R. China"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Sciences, Academia Sinica, P.O. Box 2719, Beijing, 100080, P.R. China","institution_ids":["https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101494424","display_name":"Jinchao Xu","orcid":"https://orcid.org/0009-0004-4132-0227"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]},{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"J. Xu","raw_affiliation_strings":["Center for Computational Mathematics and Applications, Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA","Institute for Computational and Applied Mathematics, Xiangtan University, Hunan, 411105, P.R. China"],"affiliations":[{"raw_affiliation_string":"Center for Computational Mathematics and Applications, Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Institute for Computational and Applied Mathematics, Xiangtan University, Hunan, 411105, P.R. China","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102767325"],"corresponding_institution_ids":["https://openalex.org/I4610292"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8439,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.72594902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"77","issue":"4","first_page":"347","last_page":"377"},"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":1.0,"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":1.0,"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":0.9995999932289124,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9984999895095825,"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":0.7844725847244263},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.773024320602417},{"id":"https://openalex.org/keywords/stiffness-matrix","display_name":"Stiffness matrix","score":0.6673988103866577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6293259859085083},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6184267401695251},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5205312967300415},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.501152753829956},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4347985088825226},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37316638231277466},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.18321555852890015},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07177799940109253}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.7844725847244263},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.773024320602417},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.6673988103866577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6293259859085083},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6184267401695251},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5205312967300415},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.501152753829956},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4347985088825226},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37316638231277466},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.18321555852890015},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07177799940109253},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00607-006-0162-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-006-0162-6","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320324780","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62"},{"id":"https://openalex.org/F4320336475","display_name":"National Safety Academic Fund","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W325757920","https://openalex.org/W1969742554","https://openalex.org/W1986746311","https://openalex.org/W1997596109","https://openalex.org/W2005019548","https://openalex.org/W2014552949","https://openalex.org/W2017085690","https://openalex.org/W2031859223","https://openalex.org/W2031887218","https://openalex.org/W2038330765","https://openalex.org/W2059679865","https://openalex.org/W2080474884","https://openalex.org/W2085553686","https://openalex.org/W2106088594","https://openalex.org/W2142304406","https://openalex.org/W2148147555","https://openalex.org/W2151317657","https://openalex.org/W2172093368","https://openalex.org/W2243781021","https://openalex.org/W2252040419","https://openalex.org/W2498157954","https://openalex.org/W2585026102","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2081971496","https://openalex.org/W2379196245","https://openalex.org/W2119256031","https://openalex.org/W2381658119","https://openalex.org/W4294096282","https://openalex.org/W2983729671","https://openalex.org/W631435443","https://openalex.org/W4380030486","https://openalex.org/W1600069777","https://openalex.org/W2348423718"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
