{"id":"https://openalex.org/W3038684325","doi":"https://doi.org/10.1007/s10444-020-09801-2","title":"Local superconvergence of post-processed high-order finite volume element solutions","display_name":"Local superconvergence of post-processed high-order finite volume element solutions","publication_year":2020,"publication_date":"2020-07-06","ids":{"openalex":"https://openalex.org/W3038684325","doi":"https://doi.org/10.1007/s10444-020-09801-2","mag":"3038684325"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-020-09801-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09801-2","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/A5102027672","display_name":"Wen\u2010ming He","orcid":"https://orcid.org/0000-0002-6876-9540"},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenming He","raw_affiliation_strings":["Department of Mathematics, Lingnan Normal University, Zhanjiang, 524048, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lingnan Normal University, Zhanjiang, 524048, Guangdong, China","institution_ids":["https://openalex.org/I154833797"]}]},{"author_position":"middle","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, 100193, China","Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Computational Science Research Center, Beijing, 100193, 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":["School of Data and Computer Science, Guangdong Province Key Laboratory of Computational Science, Sun Yat-sen University, Guangzhou, 510006, China"],"raw_orcid":"https://orcid.org/0000-0002-0710-7893","affiliations":[{"raw_affiliation_string":"School of Data and Computer Science, Guangdong Province Key Laboratory of Computational Science, Sun Yat-sen University, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5053903143"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.317,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.4866707,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"46","issue":"4","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":0.9998999834060669,"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":0.9990000128746033,"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":0.9983999729156494,"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/superconvergence","display_name":"Superconvergence","score":0.9945539236068726},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.8203786611557007},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7103626728057861},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7049043774604797},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6785285472869873},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6463475227355957},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.5570632815361023},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5098863840103149},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49451324343681335},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49324315786361694},{"id":"https://openalex.org/keywords/finite-volume-method-for-one-dimensional-steady-state-diffusion","display_name":"Finite volume method for one-dimensional steady state diffusion","score":0.43917718529701233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4217250943183899},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41736841201782227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1924881935119629},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.17756271362304688},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12839272618293762},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.11427676677703857},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10159596800804138},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0781075656414032},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.07059505581855774}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9945539236068726},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.8203786611557007},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7103626728057861},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7049043774604797},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6785285472869873},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6463475227355957},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.5570632815361023},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5098863840103149},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49451324343681335},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49324315786361694},{"id":"https://openalex.org/C85405225","wikidata":"https://www.wikidata.org/wiki/Q17013617","display_name":"Finite volume method for one-dimensional steady state diffusion","level":4,"score":0.43917718529701233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4217250943183899},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41736841201782227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1924881935119629},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.17756271362304688},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12839272618293762},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.11427676677703857},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10159596800804138},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0781075656414032},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.07059505581855774},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-020-09801-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09801-2","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":[{"id":"https://openalex.org/G1634303658","display_name":null,"funder_award_id":"11571384","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1908211355","display_name":null,"funder_award_id":"2017B030311001","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G3610861450","display_name":null,"funder_award_id":"11471031,91430216","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7136996291","display_name":null,"funder_award_id":"11671304,11771338","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/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W135868273","https://openalex.org/W646805545","https://openalex.org/W1174663876","https://openalex.org/W1505377314","https://openalex.org/W1521920611","https://openalex.org/W1535085078","https://openalex.org/W1555627060","https://openalex.org/W1586307467","https://openalex.org/W1595515622","https://openalex.org/W1866311589","https://openalex.org/W1971426986","https://openalex.org/W1981510480","https://openalex.org/W1986550841","https://openalex.org/W1989806103","https://openalex.org/W2005601391","https://openalex.org/W2011907419","https://openalex.org/W2022591932","https://openalex.org/W2023963475","https://openalex.org/W2031644642","https://openalex.org/W2033130775","https://openalex.org/W2041781096","https://openalex.org/W2042199582","https://openalex.org/W2044892973","https://openalex.org/W2045504032","https://openalex.org/W2051995249","https://openalex.org/W2064682864","https://openalex.org/W2076642757","https://openalex.org/W2085540192","https://openalex.org/W2093156044","https://openalex.org/W2094855393","https://openalex.org/W2151939722","https://openalex.org/W2165628895","https://openalex.org/W2349138067","https://openalex.org/W2491719029","https://openalex.org/W2510657622","https://openalex.org/W2745389073","https://openalex.org/W2891273113","https://openalex.org/W2972346794","https://openalex.org/W6605721860"],"related_works":["https://openalex.org/W2148263540","https://openalex.org/W2949279852","https://openalex.org/W1999000186","https://openalex.org/W2086666789","https://openalex.org/W4206172935","https://openalex.org/W1981770417","https://openalex.org/W2095232916","https://openalex.org/W1557992730","https://openalex.org/W2338944697","https://openalex.org/W1997892295"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
