{"id":"https://openalex.org/W3194343171","doi":"https://doi.org/10.1007/s11075-022-01269-z","title":"A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem","display_name":"A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem","publication_year":2022,"publication_date":"2022-02-17","ids":{"openalex":"https://openalex.org/W3194343171","doi":"https://doi.org/10.1007/s11075-022-01269-z","mag":"3194343171"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-022-01269-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-022-01269-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5088477979","display_name":"Do Y. Kwak","orcid":"https://orcid.org/0000-0002-5743-1501"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Do Y. Kwak","raw_affiliation_strings":["Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon, 34141, Korea"],"raw_orcid":"https://orcid.org/0000-0002-5743-1501","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon, 34141, Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013183356","display_name":"Hyeokjoo Park","orcid":"https://orcid.org/0000-0002-6481-0876"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyeokjoo Park","raw_affiliation_strings":["Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon, 34141, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon, 34141, Korea","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088477979"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.2797,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.38737706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"91","issue":"1","first_page":"449","last_page":"471"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"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":0.998199999332428,"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/pointwise","display_name":"Pointwise","score":0.769188404083252},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7569370269775391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7547388076782227},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.7378462553024292},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6164398789405823},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5769681930541992},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5400058031082153},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5045684576034546},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.473289430141449},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44353312253952026},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4308403730392456},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3248172104358673},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28359052538871765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14086365699768066},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.06592127680778503}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.769188404083252},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7569370269775391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7547388076782227},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.7378462553024292},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6164398789405823},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5769681930541992},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5400058031082153},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5045684576034546},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.473289430141449},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44353312253952026},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4308403730392456},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3248172104358673},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28359052538871765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14086365699768066},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.06592127680778503},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/s11075-022-01269-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-022-01269-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6108439928","display_name":null,"funder_award_id":"2021R1A2C1003340","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W618110921","https://openalex.org/W1963803848","https://openalex.org/W2006000775","https://openalex.org/W2045686441","https://openalex.org/W2047049848","https://openalex.org/W2068968600","https://openalex.org/W2111450821","https://openalex.org/W2161530217","https://openalex.org/W2168914934","https://openalex.org/W2339371798","https://openalex.org/W2534431241","https://openalex.org/W2558016433","https://openalex.org/W2592623476","https://openalex.org/W2604714644","https://openalex.org/W2604774386","https://openalex.org/W2751927746","https://openalex.org/W2764120414","https://openalex.org/W2778077235","https://openalex.org/W2798966834","https://openalex.org/W2900364854","https://openalex.org/W2908252308","https://openalex.org/W2962924286","https://openalex.org/W2963131956","https://openalex.org/W2963313365","https://openalex.org/W2963898545","https://openalex.org/W2964307594","https://openalex.org/W2990554549","https://openalex.org/W3037486829","https://openalex.org/W3195280316"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W143502885","https://openalex.org/W42113618","https://openalex.org/W2103468410","https://openalex.org/W1856228368","https://openalex.org/W3197542402","https://openalex.org/W2971527398","https://openalex.org/W2645958880","https://openalex.org/W1025150868","https://openalex.org/W1968809652"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}