{"id":"https://openalex.org/W2887442002","doi":"https://doi.org/10.1007/s10915-018-0796-5","title":"A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes","display_name":"A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes","publication_year":2018,"publication_date":"2018-08-02","ids":{"openalex":"https://openalex.org/W2887442002","doi":"https://doi.org/10.1007/s10915-018-0796-5","mag":"2887442002"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-018-0796-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0796-5","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/A5025111250","display_name":"Long Chen","orcid":"https://orcid.org/0000-0002-7345-5116"},"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":true,"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":"last","author":{"id":"https://openalex.org/A5102782865","display_name":"Feng Wang","orcid":"https://orcid.org/0000-0002-3650-5663"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Wang","raw_affiliation_strings":["Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China"],"raw_orcid":"https://orcid.org/0000-0002-3650-5663","affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025111250"],"corresponding_institution_ids":["https://openalex.org/I204250578","https://openalex.org/I37796252"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.2442,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.97886154,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"78","issue":"2","first_page":"864","last_page":"886"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9965000152587891,"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":0.9959999918937683,"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/polygon-mesh","display_name":"Polygon mesh","score":0.8144923448562622},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7793636322021484},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.729394257068634},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.7221582531929016},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6760353446006775},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6211098432540894},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5924768447875977},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.5065947771072388},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5023500919342041},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.4933237135410309},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4870636761188507},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3137223422527313},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.2793803811073303},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10050573945045471},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.06141200661659241}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8144923448562622},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7793636322021484},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.729394257068634},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.7221582531929016},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6760353446006775},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6211098432540894},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5924768447875977},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.5065947771072388},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5023500919342041},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.4933237135410309},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4870636761188507},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3137223422527313},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.2793803811073303},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10050573945045471},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.06141200661659241},{"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/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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-018-0796-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0796-5","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":[],"awards":[{"id":"https://openalex.org/G1965559757","display_name":null,"funder_award_id":"11301275","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4767386342","display_name":null,"funder_award_id":"DMS-1418934","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4896436178","display_name":null,"funder_award_id":"11371198","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8596170719","display_name":null,"funder_award_id":"11371199","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W209265777","https://openalex.org/W209576205","https://openalex.org/W592911714","https://openalex.org/W1492326914","https://openalex.org/W1553712082","https://openalex.org/W1582756069","https://openalex.org/W1603359849","https://openalex.org/W1674659126","https://openalex.org/W1851497152","https://openalex.org/W1963803848","https://openalex.org/W1963859447","https://openalex.org/W1965816824","https://openalex.org/W1966513386","https://openalex.org/W1966937952","https://openalex.org/W1976798903","https://openalex.org/W1976962292","https://openalex.org/W1979771104","https://openalex.org/W1983001190","https://openalex.org/W2005632248","https://openalex.org/W2014220840","https://openalex.org/W2039955529","https://openalex.org/W2045686441","https://openalex.org/W2051751432","https://openalex.org/W2054278710","https://openalex.org/W2058241749","https://openalex.org/W2111450821","https://openalex.org/W2113267855","https://openalex.org/W2114934298","https://openalex.org/W2118395915","https://openalex.org/W2142654352","https://openalex.org/W2156572401","https://openalex.org/W2157023312","https://openalex.org/W2161530217","https://openalex.org/W2168914934","https://openalex.org/W2215011577","https://openalex.org/W2339371798","https://openalex.org/W2554006986","https://openalex.org/W2564384750","https://openalex.org/W2567683992","https://openalex.org/W2583834270","https://openalex.org/W2604714644","https://openalex.org/W2604774386","https://openalex.org/W2744050773","https://openalex.org/W2883313970","https://openalex.org/W2962939428","https://openalex.org/W2962945174","https://openalex.org/W2963131956","https://openalex.org/W2963352110","https://openalex.org/W2963605320","https://openalex.org/W2964170036","https://openalex.org/W3146088224","https://openalex.org/W3149335423","https://openalex.org/W3204708751","https://openalex.org/W4252104256","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W2905912874","https://openalex.org/W2959142174","https://openalex.org/W2966496118","https://openalex.org/W2803854261","https://openalex.org/W2773756540","https://openalex.org/W2073368884","https://openalex.org/W3105842555","https://openalex.org/W2052213321","https://openalex.org/W2335242604","https://openalex.org/W2004848415"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}