{"id":"https://openalex.org/W2085540192","doi":"https://doi.org/10.1007/s00211-014-0664-7","title":"Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems","display_name":"Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems","publication_year":2014,"publication_date":"2014-09-18","ids":{"openalex":"https://openalex.org/W2085540192","doi":"https://doi.org/10.1007/s00211-014-0664-7","mag":"2085540192"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0664-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0664-7","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/A5100406520","display_name":"Zhimin Zhang","orcid":"https://orcid.org/0000-0002-0531-9112"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]},{"id":"https://openalex.org/I4210139958","display_name":"Beijing Computational Science Research Center","ror":"https://ror.org/04tavf782","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139958"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Zhimin Zhang","raw_affiliation_strings":["Beijing Computational Science Research Center, Beijing, 100084, China","Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA"],"affiliations":[{"raw_affiliation_string":"Beijing Computational Science Research Center, Beijing, 100084, China","institution_ids":["https://openalex.org/I4210139958"]},{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053903143","display_name":"Qingsong Zou","orcid":"https://orcid.org/0000-0002-0710-7893"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qingsong Zou","raw_affiliation_strings":["College of Mathematics and Scientific Computing, Guangdong Province Key Laboratory of Computational Science, Sun Yat-sen University, Guangzhou, 510275, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Scientific Computing, Guangdong Province Key Laboratory of Computational Science, Sun Yat-sen University, Guangzhou, 510275, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053903143"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.1449,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.95578611,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"130","issue":"2","first_page":"363","last_page":"393"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9993000030517578,"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":0.9937000274658203,"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/quadrilateral","display_name":"Quadrilateral","score":0.8757808804512024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.81580650806427},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7273105382919312},{"id":"https://openalex.org/keywords/parallelogram","display_name":"Parallelogram","score":0.6875869631767273},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5464916229248047},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5267146229743958},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5075875520706177},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4777359366416931},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47579774260520935},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4210856258869171},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3855316638946533},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3741123080253601},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24316230416297913},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24060729146003723},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10106074810028076},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.0872361958026886}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.8757808804512024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.81580650806427},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7273105382919312},{"id":"https://openalex.org/C53118041","wikidata":"https://www.wikidata.org/wiki/Q45867","display_name":"Parallelogram","level":3,"score":0.6875869631767273},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5464916229248047},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5267146229743958},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5075875520706177},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4777359366416931},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47579774260520935},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4210856258869171},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3855316638946533},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3741123080253601},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24316230416297913},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24060729146003723},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10106074810028076},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0872361958026886},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0664-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0664-7","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":33,"referenced_works":["https://openalex.org/W135868273","https://openalex.org/W340117302","https://openalex.org/W1505377314","https://openalex.org/W1521920611","https://openalex.org/W1535085078","https://openalex.org/W1549748890","https://openalex.org/W1555627060","https://openalex.org/W1586307467","https://openalex.org/W1971426986","https://openalex.org/W1985204071","https://openalex.org/W1986550841","https://openalex.org/W2005539742","https://openalex.org/W2007187208","https://openalex.org/W2011476016","https://openalex.org/W2022591932","https://openalex.org/W2023963475","https://openalex.org/W2029111242","https://openalex.org/W2033130775","https://openalex.org/W2041523977","https://openalex.org/W2045504032","https://openalex.org/W2048781240","https://openalex.org/W2049514147","https://openalex.org/W2073732659","https://openalex.org/W2076642757","https://openalex.org/W2094855393","https://openalex.org/W2107736107","https://openalex.org/W2124192278","https://openalex.org/W2147917698","https://openalex.org/W2151939722","https://openalex.org/W2165628895","https://openalex.org/W2314359380","https://openalex.org/W2915211148","https://openalex.org/W4210300254"],"related_works":["https://openalex.org/W78786167","https://openalex.org/W1553563916","https://openalex.org/W2012456835","https://openalex.org/W2553391054","https://openalex.org/W2963501306","https://openalex.org/W2410199674","https://openalex.org/W4297683467","https://openalex.org/W2066142426","https://openalex.org/W2005478455","https://openalex.org/W2412149824"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}