{"id":"https://openalex.org/W4214832326","doi":"https://doi.org/10.1007/s00366-022-01621-w","title":"Divergence-free meshless local Petrov\u2013Galerkin method for Stokes flow","display_name":"Divergence-free meshless local Petrov\u2013Galerkin method for Stokes flow","publication_year":2022,"publication_date":"2022-03-02","ids":{"openalex":"https://openalex.org/W4214832326","doi":"https://doi.org/10.1007/s00366-022-01621-w"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-022-01621-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-022-01621-w","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"Engineering with Computers","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/A5085009836","display_name":"Mahboubeh Najafi","orcid":"https://orcid.org/0000-0002-7283-1749"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mahboubeh Najafi","raw_affiliation_strings":["Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044309986","display_name":"Mehdi Dehghan","orcid":"https://orcid.org/0000-0002-2573-9755"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Dehghan","raw_affiliation_strings":["Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-2573-9755","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019807187","display_name":"Bo\u017eidar \u0160arler","orcid":"https://orcid.org/0000-0003-0618-6873"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I4210115143","display_name":"Institute of Metals and Technology","ror":"https://ror.org/01h8mzz32","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210115143"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Bo\u017eidar \u0160arler","raw_affiliation_strings":["Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia","Institute of Metals and Technology, Ljubljana, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]},{"raw_affiliation_string":"Institute of Metals and Technology, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210115143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082251109","display_name":"Gregor Kosec","orcid":"https://orcid.org/0000-0002-6381-9078"},"institutions":[{"id":"https://openalex.org/I3006985408","display_name":"Jo\u017eef Stefan Institute","ror":"https://ror.org/05060sz93","country_code":"SI","type":"facility","lineage":["https://openalex.org/I3006985408"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Gregor Kosec","raw_affiliation_strings":["Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Parallel and Distributed Systems Laboratory, Jo\u017eef Stefan Institute, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I3006985408"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069619968","display_name":"Bo\u0161tjan Mavri\u010d","orcid":"https://orcid.org/0000-0003-0504-9869"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I4210115143","display_name":"Institute of Metals and Technology","ror":"https://ror.org/01h8mzz32","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210115143"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Bo\u0161tjan Mavri\u010d","raw_affiliation_strings":["Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia","Institute of Metals and Technology, Ljubljana, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]},{"raw_affiliation_string":"Institute of Metals and Technology, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210115143"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5085009836"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7083,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.80745272,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"38","issue":"6","first_page":"5359","last_page":"5377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9987000226974487,"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/T12293","display_name":"Dam Engineering and Safety","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/mathematics","display_name":"Mathematics","score":0.7502322793006897},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5599572658538818},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.48743942379951477},{"id":"https://openalex.org/keywords/divergence-theorem","display_name":"Divergence theorem","score":0.48416072130203247},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.44088977575302124},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.43883615732192993},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4310712218284607},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.3772885799407959},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3717297911643982},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25143441557884216}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7502322793006897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5599572658538818},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.48743942379951477},{"id":"https://openalex.org/C16030659","wikidata":"https://www.wikidata.org/wiki/Q338886","display_name":"Divergence theorem","level":4,"score":0.48416072130203247},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.44088977575302124},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.43883615732192993},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4310712218284607},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3772885799407959},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3717297911643982},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25143441557884216},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.0},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00366-022-01621-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-022-01621-w","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmh:oai:d.cobiss.net/repository/si:99503875","is_oa":false,"landing_page_url":"https://link.springer.com/article/10.1007/s00366-022-01621-w","pdf_url":null,"source":{"id":"https://openalex.org/S7407055177","display_name":"dCOBISS.SI Digital Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"COBISS-ID: 22251781","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W338336435","https://openalex.org/W1481686105","https://openalex.org/W1491507172","https://openalex.org/W1518160170","https://openalex.org/W1526671757","https://openalex.org/W1585274809","https://openalex.org/W1691186121","https://openalex.org/W1964325661","https://openalex.org/W1967863240","https://openalex.org/W1971674538","https://openalex.org/W1984428358","https://openalex.org/W1985900778","https://openalex.org/W1988196659","https://openalex.org/W2001512608","https://openalex.org/W2008314186","https://openalex.org/W2011290221","https://openalex.org/W2014339952","https://openalex.org/W2018051459","https://openalex.org/W2019655025","https://openalex.org/W2024119359","https://openalex.org/W2029754339","https://openalex.org/W2044271778","https://openalex.org/W2051497420","https://openalex.org/W2051751432","https://openalex.org/W2082389213","https://openalex.org/W2082508631","https://openalex.org/W2083659446","https://openalex.org/W2084633002","https://openalex.org/W2095868599","https://openalex.org/W2125261299","https://openalex.org/W2153320359","https://openalex.org/W2268201048","https://openalex.org/W2341112121","https://openalex.org/W2344397854","https://openalex.org/W2346327459","https://openalex.org/W2395480733","https://openalex.org/W2396921047","https://openalex.org/W2418911301","https://openalex.org/W2481312347","https://openalex.org/W2503694548","https://openalex.org/W2520273805","https://openalex.org/W2532911352","https://openalex.org/W2535009480","https://openalex.org/W2545270568","https://openalex.org/W2562796408","https://openalex.org/W2599120627","https://openalex.org/W2746999092","https://openalex.org/W2756899824","https://openalex.org/W2766250216","https://openalex.org/W2769879728","https://openalex.org/W2888959797","https://openalex.org/W2937579476","https://openalex.org/W2948361983","https://openalex.org/W2963051807","https://openalex.org/W2972804654","https://openalex.org/W2973256969","https://openalex.org/W3031488332","https://openalex.org/W3033731869","https://openalex.org/W3045792350","https://openalex.org/W3075502700","https://openalex.org/W4241834112","https://openalex.org/W4300705940"],"related_works":["https://openalex.org/W4239618477","https://openalex.org/W2720897901","https://openalex.org/W2989718855","https://openalex.org/W2559016985","https://openalex.org/W2138310176","https://openalex.org/W2087602529","https://openalex.org/W3198674129","https://openalex.org/W4389336504","https://openalex.org/W2033443048","https://openalex.org/W4319451579"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}