{"id":"https://openalex.org/W1967810728","doi":"https://doi.org/10.1137/070698154","title":"On Stable, Complete, and Singularity-Free Boundary Integral Formulations of Exterior Stokes Flow","display_name":"On Stable, Complete, and Singularity-Free Boundary Integral Formulations of Exterior Stokes Flow","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1967810728","doi":"https://doi.org/10.1137/070698154","mag":"1967810728"},"language":"en","primary_location":{"id":"doi:10.1137/070698154","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070698154","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied 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/A5019515072","display_name":"O. A. Gonz\u00e1lez","orcid":"https://orcid.org/0000-0003-2478-6020"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"O. Gonzalez","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019515072"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4008,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.80247062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"69","issue":"4","first_page":"933","last_page":"958"},"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":0.9980000257492065,"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":0.9980000257492065,"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":0.9977999925613403,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/mathematics","display_name":"Mathematics","score":0.7789236307144165},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.7625957131385803},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6927130222320557},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6597158908843994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5875190496444702},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.5851861238479614},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5395841002464294},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.5150485038757324},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.49782562255859375},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4193882942199707},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.34049803018569946},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.32738304138183594},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19644537568092346},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09194695949554443}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7789236307144165},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7625957131385803},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6927130222320557},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6597158908843994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5875190496444702},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.5851861238479614},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5395841002464294},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.5150485038757324},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.49782562255859375},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4193882942199707},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.34049803018569946},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.32738304138183594},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19644537568092346},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09194695949554443},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/070698154","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070698154","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W258129640","https://openalex.org/W284076903","https://openalex.org/W593053827","https://openalex.org/W602544446","https://openalex.org/W1490306058","https://openalex.org/W1569094508","https://openalex.org/W1970304116","https://openalex.org/W1975018682","https://openalex.org/W1985343836","https://openalex.org/W1995252421","https://openalex.org/W2012005558","https://openalex.org/W2014208709","https://openalex.org/W2026949835","https://openalex.org/W2027348461","https://openalex.org/W2027406893","https://openalex.org/W2029974334","https://openalex.org/W2033305412","https://openalex.org/W2041275405","https://openalex.org/W2042097096","https://openalex.org/W2060819023","https://openalex.org/W2062515898","https://openalex.org/W2084249479","https://openalex.org/W2099042296","https://openalex.org/W2102509285","https://openalex.org/W2113903730","https://openalex.org/W2127570421","https://openalex.org/W2135594087","https://openalex.org/W2142410882","https://openalex.org/W2152959155","https://openalex.org/W2157072495","https://openalex.org/W2162049441","https://openalex.org/W2489518929","https://openalex.org/W2490615762"],"related_works":["https://openalex.org/W1963845699","https://openalex.org/W2905912874","https://openalex.org/W2959142174","https://openalex.org/W2061461757","https://openalex.org/W2389601816","https://openalex.org/W3191646105","https://openalex.org/W2069733545","https://openalex.org/W2773756540","https://openalex.org/W2966496118","https://openalex.org/W3159111101"],"abstract_inverted_index":{"A":[0],"new":[1],"boundary":[2],"integral":[3],"formulation":[4,16,39],"of":[5,25,59],"the":[6,38],"second":[7],"kind":[8],"for":[9,23,37,40],"exterior":[10],"Stokes":[11],"flow":[12],"is":[13,17],"introduced.":[14],"The":[15],"stable,":[18],"complete,":[19],"singularity-free,":[20],"and":[21,28,34,43],"natural":[22],"bodies":[24],"complicated":[26],"shape":[27],"topology.":[29],"We":[30],"prove":[31],"an":[32],"existence":[33],"uniqueness":[35],"result":[36],"arbitrary":[41],"flows":[42],"illustrate":[44],"its":[45],"performance":[46],"via":[47],"several":[48],"numerical":[49],"examples":[50],"using":[51],"a":[52],"Nystr\u00f6m":[53],"method":[54],"with":[55],"Gauss\u2013Legendre":[56],"quadrature":[57],"rules":[58],"different":[60],"order.":[61]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}