{"id":"https://openalex.org/W1978860261","doi":"https://doi.org/10.1515/cmam-2014-0028","title":"An Equation Decomposition Based Tailored Finite Point Methodfor Linearized Incompressible Flow in Two-Dimensional Space","display_name":"An Equation Decomposition Based Tailored Finite Point Methodfor Linearized Incompressible Flow in Two-Dimensional Space","publication_year":2014,"publication_date":"2014-11-07","ids":{"openalex":"https://openalex.org/W1978860261","doi":"https://doi.org/10.1515/cmam-2014-0028","mag":"1978860261"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2014-0028","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0028","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in 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/A5100339244","display_name":"Ye Li","orcid":"https://orcid.org/0000-0002-8102-1959"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ye Li","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100851858","display_name":"Houde Han","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Houde Han","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065270536","display_name":"Zhongyi Huang","orcid":"https://orcid.org/0000-0002-5623-4864"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongyi Huang","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100339244"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05873016,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"39","last_page":"58"},"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":0.9962999820709229,"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":0.9962999820709229,"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":0.9940000176429749,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.6745303273200989},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5755796432495117},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5745854377746582},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5606696605682373},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5165085196495056},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.4952987730503082},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.48331451416015625},{"id":"https://openalex.org/keywords/conservative-vector-field","display_name":"Conservative vector field","score":0.4690687358379364},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4578053951263428},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.43285316228866577},{"id":"https://openalex.org/keywords/pressure-correction-method","display_name":"Pressure-correction method","score":0.4184935986995697},{"id":"https://openalex.org/keywords/fictitious-domain-method","display_name":"Fictitious domain method","score":0.41331690549850464},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.3962166905403137},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3585541844367981},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3229537606239319},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.1896395981311798},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18792518973350525},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13472262024879456},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08303412795066833}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6745303273200989},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5755796432495117},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5745854377746582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5606696605682373},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5165085196495056},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.4952987730503082},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.48331451416015625},{"id":"https://openalex.org/C147457402","wikidata":"https://www.wikidata.org/wiki/Q1588205","display_name":"Conservative vector field","level":3,"score":0.4690687358379364},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4578053951263428},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.43285316228866577},{"id":"https://openalex.org/C21018558","wikidata":"https://www.wikidata.org/wiki/Q7241680","display_name":"Pressure-correction method","level":3,"score":0.4184935986995697},{"id":"https://openalex.org/C119741493","wikidata":"https://www.wikidata.org/wiki/Q5446587","display_name":"Fictitious domain method","level":3,"score":0.41331690549850464},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.3962166905403137},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3585541844367981},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3229537606239319},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.1896395981311798},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18792518973350525},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13472262024879456},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08303412795066833},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2014-0028","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0028","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4673211725","display_name":null,"funder_award_id":"2011CB309705","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7993074691","display_name":null,"funder_award_id":"11371218, 91330203, 11322113","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2392036275","https://openalex.org/W2350256236","https://openalex.org/W56460285","https://openalex.org/W2003238696","https://openalex.org/W2009814361","https://openalex.org/W4246061168","https://openalex.org/W2051529537","https://openalex.org/W768539834","https://openalex.org/W2014734427","https://openalex.org/W2127837442"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,71],"propose":[5],"a":[6,46,83,86],"tailored":[7,96],"finite":[8,91],"point":[9,92],"method":[10,76,93,154],"for":[11],"linearized":[12,125],"incompressible":[13,126,140],"flow":[14],"(Oseen":[15],"equations)":[16],"in":[17,55,63,112],"two":[18,49],"dimensions":[19],"based":[20],"on":[21,85,122],"the":[22,27,32,56,67,73,79,102,108,113,134,139,148,156],"equation":[23],"decomposition":[24],"technique.":[25],"Unlike":[26],"usual":[28],"vorticity-stream":[29],"function":[30],"formulation,":[31],"velocities":[33],"are":[34,53,60],"decomposed":[35],"to":[36,44,77,82,97,137],"irrotational":[37],"and":[38,128,150],"rotational":[39],"parts.":[40],"We":[41,117],"only":[42,61],"need":[43],"solve":[45,138],"system":[47],"of":[48,101,152],"elliptic":[50],"equations":[51],"which":[52],"decoupled":[54],"interior":[57,114],"domain.":[58,89],"They":[59],"coupled":[62],"boundary":[64,75],"conditions.":[65],"When":[66],"domain":[68,115],"is":[69,159],"unbounded,":[70],"use":[72],"artificial":[74],"reduce":[78],"original":[80],"problem":[81,84],"bounded":[87],"computational":[88],"Our":[90],"has":[94],"been":[95],"some":[98,120],"particular":[99],"properties":[100],"problem.":[103,142],"Therefore,":[104],"our":[105,153],"scheme":[106],"satisfies":[107],"discrete":[109],"maximum":[110],"principle":[111],"automatically.":[116],"also":[118],"give":[119],"remarks":[121],"more":[123],"generally":[124],"flow,":[127],"it":[129],"can":[130],"be":[131],"considered":[132],"as":[133],"first":[135],"step":[136],"Navier\u2013Stokes":[141],"Finally,":[143],"several":[144],"numerical":[145],"examples":[146],"show":[147],"efficiency":[149],"feasibility":[151],"whatever":[155],"Reynolds":[157],"number":[158],"small":[160],"or":[161],"large.":[162]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
