{"id":"https://openalex.org/W2139074423","doi":"https://doi.org/10.1007/s10444-011-9215-2","title":"L 2 error estimates and superconvergence of the finite volume element methods on quadrilateral meshes","display_name":"L 2 error estimates and superconvergence of the finite volume element methods on quadrilateral meshes","publication_year":2011,"publication_date":"2011-09-16","ids":{"openalex":"https://openalex.org/W2139074423","doi":"https://doi.org/10.1007/s10444-011-9215-2","mag":"2139074423"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-011-9215-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-011-9215-2","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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/A5028168384","display_name":"Junliang Lv","orcid":"https://orcid.org/0000-0001-9311-2658"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junliang Lv","raw_affiliation_strings":["School of Mathematics, Jilin University, Changchun, 130012, People\u2019s Republic of China","School of Mathematics, Jilin University, Changchun, People's Republic of China 130012#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun, 130012, People\u2019s Republic of China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun, People's Republic of China 130012#TAB#","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027694340","display_name":"Yonghai Li","orcid":"https://orcid.org/0000-0002-2415-7622"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yonghai Li","raw_affiliation_strings":["School of Mathematics, Jilin University, Changchun, 130012, People\u2019s Republic of China","School of Mathematics, Jilin University, Changchun, People's Republic of China 130012#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun, 130012, People\u2019s Republic of China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun, People's Republic of China 130012#TAB#","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028168384"],"corresponding_institution_ids":["https://openalex.org/I194450716"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1191,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.87235715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"37","issue":"3","first_page":"393","last_page":"416"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.9650182127952576},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.943633496761322},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.806745171546936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7565417289733887},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6502295732498169},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5837060809135437},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.5679097175598145},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5327660441398621},{"id":"https://openalex.org/keywords/parallelogram","display_name":"Parallelogram","score":0.45773792266845703},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4517492651939392},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4505506157875061},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.42334768176078796},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3869702219963074},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34077972173690796},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.12774544954299927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10287150740623474},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05922248959541321}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9650182127952576},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.943633496761322},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.806745171546936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7565417289733887},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6502295732498169},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5837060809135437},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.5679097175598145},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5327660441398621},{"id":"https://openalex.org/C53118041","wikidata":"https://www.wikidata.org/wiki/Q45867","display_name":"Parallelogram","level":3,"score":0.45773792266845703},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4517492651939392},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4505506157875061},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.42334768176078796},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3869702219963074},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34077972173690796},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.12774544954299927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10287150740623474},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05922248959541321},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-011-9215-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-011-9215-2","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W100703333","https://openalex.org/W135868273","https://openalex.org/W929087199","https://openalex.org/W1492326914","https://openalex.org/W1521920611","https://openalex.org/W1815203806","https://openalex.org/W1968642437","https://openalex.org/W1985142392","https://openalex.org/W1986550841","https://openalex.org/W1988234876","https://openalex.org/W1999455217","https://openalex.org/W2019415831","https://openalex.org/W2022591932","https://openalex.org/W2023963475","https://openalex.org/W2030563293","https://openalex.org/W2035728289","https://openalex.org/W2054833806","https://openalex.org/W2076642757","https://openalex.org/W2093179496","https://openalex.org/W2328632875","https://openalex.org/W2586064390","https://openalex.org/W2611031569","https://openalex.org/W2785458696","https://openalex.org/W4297470728"],"related_works":["https://openalex.org/W78786167","https://openalex.org/W1553563916","https://openalex.org/W2012456835","https://openalex.org/W2350215418","https://openalex.org/W2553391054","https://openalex.org/W2963501306","https://openalex.org/W2410199674","https://openalex.org/W1988234876","https://openalex.org/W4297683467","https://openalex.org/W2139074423"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}