{"id":"https://openalex.org/W1969412553","doi":"https://doi.org/10.1090/s0025-5718-97-00788-6","title":"How accurate is the streamline diffusion finite element method?","display_name":"How accurate is the streamline diffusion finite element method?","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1969412553","doi":"https://doi.org/10.1090/s0025-5718-97-00788-6","mag":"1969412553"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-97-00788-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-97-00788-6","pdf_url":"https://www.ams.org/mcom/1997-66-217/S0025-5718-97-00788-6/S0025-5718-97-00788-6.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/1997-66-217/S0025-5718-97-00788-6/S0025-5718-97-00788-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112487435","display_name":"Guohui Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Guohui Zhou","raw_affiliation_strings":["SFB 359 and Institut fr Angewandte Mathematik, Universitt Heidelberg, Im Neuen-heimer Feld 294, D-69120 Heidelberg, Germany","SFB 359 and Institut f\u00fcr Angewandte Mathematik, Universit\u00e4t Heidelberg, Im Neuen-heimer Feld 294, D-69120 Heidelberg, Germany"],"affiliations":[{"raw_affiliation_string":"SFB 359 and Institut fr Angewandte Mathematik, Universitt Heidelberg, Im Neuen-heimer Feld 294, D-69120 Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"SFB 359 and Institut f\u00fcr Angewandte Mathematik, Universit\u00e4t Heidelberg, Im Neuen-heimer Feld 294, D-69120 Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112487435"],"corresponding_institution_ids":["https://openalex.org/I223822909"],"apc_list":null,"apc_paid":null,"fwci":11.3712,"has_fulltext":true,"cited_by_count":77,"citation_normalized_percentile":{"value":0.99047097,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"66","issue":"217","first_page":"31","last_page":"45"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.9445409774780273},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7287477254867554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6303442716598511},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.6081095933914185},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5969093441963196},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5723250508308411},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5537044405937195},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.4863324761390686},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.4447402358055115},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4321022629737854},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3900946080684662},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.286428838968277},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2558087110519409},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.2031831443309784},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.045215338468551636}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.9445409774780273},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7287477254867554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6303442716598511},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6081095933914185},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5969093441963196},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5723250508308411},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5537044405937195},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.4863324761390686},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.4447402358055115},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4321022629737854},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3900946080684662},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.286428838968277},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2558087110519409},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.2031831443309784},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.045215338468551636},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-97-00788-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-97-00788-6","pdf_url":"https://www.ams.org/mcom/1997-66-217/S0025-5718-97-00788-6/S0025-5718-97-00788-6.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:10.1.1.100.1257","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.100.1257","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/1997-66-217/S0025-5718-97-00788-6/S0025-5718-97-00788-6.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.4330","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.4330","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/journals/mcom/1997-66-217/S0025-5718-97-00788-6/S0025-5718-97-00788-6.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-97-00788-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-97-00788-6","pdf_url":"https://www.ams.org/mcom/1997-66-217/S0025-5718-97-00788-6/S0025-5718-97-00788-6.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/G5621722311","display_name":null,"funder_award_id":"SFB 359","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320881","display_name":"Universit\u00e4t Heidelberg","ror":"https://ror.org/038t36y30"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1969412553.pdf","grobid_xml":"https://content.openalex.org/works/W1969412553.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W58679925","https://openalex.org/W1535281435","https://openalex.org/W1963604048","https://openalex.org/W1984734816","https://openalex.org/W2027023123","https://openalex.org/W2039890134","https://openalex.org/W2060170348","https://openalex.org/W2060951497","https://openalex.org/W2061937382","https://openalex.org/W2081177856","https://openalex.org/W2084944524","https://openalex.org/W2092436849","https://openalex.org/W4242825342","https://openalex.org/W4242957978"],"related_works":["https://openalex.org/W2017968036","https://openalex.org/W2752501457","https://openalex.org/W1601688333","https://openalex.org/W2171421712","https://openalex.org/W3106617480","https://openalex.org/W2187005362","https://openalex.org/W2387220787","https://openalex.org/W4221158809","https://openalex.org/W1995603760","https://openalex.org/W4294653043"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,6,19,26,47,67,82,85],"optimal":[3,48],"accuracy":[4],"of":[5,22,46,61,84],"streamline":[7,68],"diffusion":[8,69],"finite":[9],"element":[10],"method":[11,70],"applied":[12],"to":[13],"convection-dominated":[14],"problems.":[15],"For":[16],"linear/bilinear":[17],"elements":[18],"theoretical":[20],"order":[21,49,76],"convergence":[23],"given":[24],"in":[25,50],"literature":[27],"is":[28,64],"either":[29],"O(h":[30,37],"3/2":[31],")":[32,39],"for":[33,40],"quasi-uniform":[34],"meshes":[35],"or":[36],"2":[38],"some":[41],"uniform":[42],"meshes.":[43,86],"The":[44],"determination":[45],"general":[51],"was":[52],"an":[53],"open":[54],"problem.":[55],"By":[56],"studying":[57],"a":[58],"special":[59],"type":[60],"meshes,":[62],"it":[63],"shown":[65],"that":[66],"may":[71],"actually":[72],"converge":[73],"with":[74],"any":[75],"within":[77],"this":[78],"range":[79],"depending":[80],"on":[81],"characterization":[83]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
