{"id":"https://openalex.org/W2049414724","doi":"https://doi.org/10.1090/s0025-5718-96-00715-6","title":"A fast iterative method to compute the flow around a submerged body","display_name":"A fast iterative method to compute the flow around a submerged body","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2049414724","doi":"https://doi.org/10.1090/s0025-5718-96-00715-6","mag":"2049414724"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-96-00715-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00715-6","pdf_url":"https://www.ams.org/mcom/1996-65-215/S0025-5718-96-00715-6/S0025-5718-96-00715-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/1996-65-215/S0025-5718-96-00715-6/S0025-5718-96-00715-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006449924","display_name":"Johan F. Malmliden","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE","US"],"is_corresponding":true,"raw_author_name":"Johan Malmliden","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, California 90024","Center for Computational Mathematics and Mechanics, Royal Institute of Tech-nology, 100 44 Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, California 90024","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Center for Computational Mathematics and Mechanics, Royal Institute of Tech-nology, 100 44 Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008289430","display_name":"N. Anders Petersson","orcid":"https://orcid.org/0000-0003-0522-7872"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"N. Petersson","raw_affiliation_strings":["Center for Computational Mathematics and Mechanics, Royal Institute of Tech-nology, 100 44 Stockholm, Sweden","Department of Mathematics, University of California, Los Angeles, California 90024"],"affiliations":[{"raw_affiliation_string":"Center for Computational Mathematics and Mechanics, Royal Institute of Tech-nology, 100 44 Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, California 90024","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006449924"],"corresponding_institution_ids":["https://openalex.org/I161318765","https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.16053158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"215","first_page":"1067","last_page":"1083"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9993000030517578,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9993000030517578,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7900019288063049},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7758405208587646},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6766321659088135},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6570088863372803},{"id":"https://openalex.org/keywords/froude-number","display_name":"Froude number","score":0.6262801885604858},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6153450012207031},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5873713493347168},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.513151228427887},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45840954780578613},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31171876192092896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14886519312858582},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14233630895614624}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7900019288063049},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7758405208587646},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6766321659088135},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6570088863372803},{"id":"https://openalex.org/C206835866","wikidata":"https://www.wikidata.org/wiki/Q273090","display_name":"Froude number","level":3,"score":0.6262801885604858},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6153450012207031},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5873713493347168},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.513151228427887},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45840954780578613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31171876192092896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14886519312858582},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14233630895614624},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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":2,"locations":[{"id":"doi:10.1090/s0025-5718-96-00715-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00715-6","pdf_url":"https://www.ams.org/mcom/1996-65-215/S0025-5718-96-00715-6/S0025-5718-96-00715-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.104.8386","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.8386","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/1996-65-215/S0025-5718-96-00715-6/S0025-5718-96-00715-6.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-96-00715-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00715-6","pdf_url":"https://www.ams.org/mcom/1996-65-215/S0025-5718-96-00715-6/S0025-5718-96-00715-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7425413337","display_name":null,"funder_award_id":"-0001","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2049414724.pdf","grobid_xml":"https://content.openalex.org/works/W2049414724.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W48548269","https://openalex.org/W56737508","https://openalex.org/W298192690","https://openalex.org/W605885747","https://openalex.org/W1986788497","https://openalex.org/W1991550193","https://openalex.org/W1995560616","https://openalex.org/W2023615730","https://openalex.org/W2027365665","https://openalex.org/W2065932192","https://openalex.org/W2094684556","https://openalex.org/W2109408606","https://openalex.org/W2169302536","https://openalex.org/W2198315237","https://openalex.org/W2462276433","https://openalex.org/W3217807766","https://openalex.org/W4237643032","https://openalex.org/W4302394292"],"related_works":["https://openalex.org/W4310349471","https://openalex.org/W2898253662","https://openalex.org/W4304633822","https://openalex.org/W2351377961","https://openalex.org/W1942228078","https://openalex.org/W2086942802","https://openalex.org/W2046073294","https://openalex.org/W2170408898","https://openalex.org/W4389741222","https://openalex.org/W2164136545"],"abstract_inverted_index":{"We":[0,123,148,167],"develop":[1],"an":[2],"efficient":[3],"iterative":[4,62,101,152],"method":[5,38,153],"for":[6,129,140],"computing":[7],"the":[8,30,33,37,43,47,58,71,86,126,146,151,158,163,172,179],"steady":[9],"linearized":[10],"potential":[11],"flow":[12,48],"around":[13],"a":[14,19,50,81,141],"submerged":[15],"body":[16],"moving":[17],"in":[18,49],"liquid":[20],"of":[21,60,121,145,178],"finite":[22],"constant":[23],"depth.":[24],"In":[25,134],"this":[26,67],"paper":[27],"we":[28,69,136],"restrict":[29],"presentation":[31],"to":[32,42,84],"two-dimensional":[34],"problem,":[35],"but":[36,108],"is":[39,54,92,106,113,175],"readily":[40],"generalizable":[41],"three-dimensional":[44],"case,":[45],"i.e.,":[46],"canal.":[51],"The":[52,89,103],"problem":[53,72],"indefinite,":[55],"which":[56],"makes":[57],"convergence":[59,159,173],"most":[61],"methods":[63],"unstable.":[64],"To":[65],"circumvent":[66],"difficulty,":[68],"decompose":[70],"into":[73],"two":[74],"more":[75],"easily":[76,115],"solvable":[77,118],"subproblems":[78],"and":[79,94,116,156],"form":[80],"Schwarz\u2013type":[82],"iteration":[83,127],"solve":[85],"original":[87],"problem.":[88,147],"first":[90],"subproblem":[91,105],"definite":[93],"can":[95],"therefore":[96,114],"be":[97],"solved":[98],"by":[99,119],"standard":[100],"methods.":[102],"second":[104],"indefinite":[107],"has":[109],"no":[110],"body.":[111],"It":[112],"efficiently":[117],"separation":[120],"variables.":[122],"prove":[124],"that":[125,150,157,171],"converges":[128,154],"sufficiently":[130],"small":[131],"Froude":[132,164],"numbers.":[133],"addition,":[135],"present":[137],"numerical":[138],"results":[139],"second-order":[142],"accurate":[143],"discretization":[144],"demonstrate":[149],"rapidly,":[155],"rate":[160,174],"improves":[161],"when":[162],"number":[165],"decreases.":[166],"also":[168],"verify":[169],"numerically":[170],"essentially":[176],"independent":[177],"grid":[180],"size.":[181]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
