{"id":"https://openalex.org/W2120137399","doi":"https://doi.org/10.1177/003754979306100201","title":"Pointwise Performance of Finite Element Method in the Case of Boundary Layer Problems","display_name":"Pointwise Performance of Finite Element Method in the Case of Boundary Layer Problems","publication_year":1993,"publication_date":"1993-08-01","ids":{"openalex":"https://openalex.org/W2120137399","doi":"https://doi.org/10.1177/003754979306100201","mag":"2120137399"},"language":"en","primary_location":{"id":"doi:10.1177/003754979306100201","is_oa":false,"landing_page_url":"https://doi.org/10.1177/003754979306100201","pdf_url":null,"source":{"id":"https://openalex.org/S32573412","display_name":"SIMULATION","issn_l":"0037-5497","issn":["0037-5497","1741-3133"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIMULATION","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/A5063145747","display_name":"Prodyot K. Basu","orcid":"https://orcid.org/0000-0003-3479-979X"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Prodyot K. Basu","raw_affiliation_strings":["Professor of Civil & Environmental Engineering Box 15-B Vanderbilt University Nashville, TN 37235"],"affiliations":[{"raw_affiliation_string":"Professor of Civil & Environmental Engineering Box 15-B Vanderbilt University Nashville, TN 37235","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103110349","display_name":"George C. Hsiao","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George C. Hsiao","raw_affiliation_strings":["Department of Mathematical Sciences University of Delaware Newark, Delaware 19716","Department of Mathematical Sciences, University of Delaware Newark, Delaware 19716"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences University of Delaware Newark, Delaware 19716","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware Newark, Delaware 19716","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062215320","display_name":"Muhammad Naseem Akhtar","orcid":"https://orcid.org/0000-0001-9884-3935"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohammed N. Akhtar","raw_affiliation_strings":["Structural Engineer Nielsen/Uzun Structural Engineers, Inc. Atlanta, GA 30326"],"affiliations":[{"raw_affiliation_string":"Structural Engineer Nielsen/Uzun Structural Engineers, Inc. Atlanta, GA 30326","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063145747"],"corresponding_institution_ids":["https://openalex.org/I200719446"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.29145211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"61","issue":"2","first_page":"86","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T13685","display_name":"Material Science and Thermodynamics","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7035597562789917},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6927026510238647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6391271948814392},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5839067697525024},{"id":"https://openalex.org/keywords/p\u00e9clet-number","display_name":"P\u00e9clet number","score":0.5108522772789001},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5044406652450562},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4846085011959076},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.478628545999527},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4717809855937958},{"id":"https://openalex.org/keywords/pointwise-convergence","display_name":"Pointwise convergence","score":0.4452916085720062},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42508330941200256},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4239172339439392},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3937731385231018},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1960877776145935},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12314200401306152},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10126394033432007},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09161904454231262}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7035597562789917},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6927026510238647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6391271948814392},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5839067697525024},{"id":"https://openalex.org/C205684552","wikidata":"https://www.wikidata.org/wiki/Q899769","display_name":"P\u00e9clet number","level":2,"score":0.5108522772789001},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5044406652450562},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4846085011959076},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.478628545999527},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4717809855937958},{"id":"https://openalex.org/C27156116","wikidata":"https://www.wikidata.org/wiki/Q1778098","display_name":"Pointwise convergence","level":3,"score":0.4452916085720062},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42508330941200256},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4239172339439392},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3937731385231018},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1960877776145935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12314200401306152},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10126394033432007},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09161904454231262},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2777894999","wikidata":"https://www.wikidata.org/wiki/Q4781758","display_name":"Approx","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":1,"locations":[{"id":"doi:10.1177/003754979306100201","is_oa":false,"landing_page_url":"https://doi.org/10.1177/003754979306100201","pdf_url":null,"source":{"id":"https://openalex.org/S32573412","display_name":"SIMULATION","issn_l":"0037-5497","issn":["0037-5497","1741-3133"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIMULATION","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1971908487","https://openalex.org/W2067613739"],"related_works":["https://openalex.org/W2093422383","https://openalex.org/W2776640168","https://openalex.org/W2046496515","https://openalex.org/W2931079280","https://openalex.org/W2085510698","https://openalex.org/W2466242173","https://openalex.org/W4247762935","https://openalex.org/W1976342131","https://openalex.org/W992007432","https://openalex.org/W4387514488"],"abstract_inverted_index":{"The":[0],"convergence":[1,70],"characteristics":[2],"of":[3,8,16,54],"h-":[4],"and":[5,40],"p-":[6],"extensions":[7],"the":[9,14],"finite":[10],"element":[11],"method":[12],"in":[13,75],"case":[15],"singularly":[17],"perturbed":[18],"boundary":[19],"value":[20],"problems":[21,29],"are":[22,30],"presented.":[23],"For":[24],"this":[25],"purpose,":[26],"two":[27],"model":[28],"considered:":[31],"i)":[32],"a":[33,42,51],"reaction-diffusion":[34],"problem":[35,44],"with":[36,45,73],"large":[37,46,52],"Thiele":[38],"modulus;":[39],"ii)":[41],"convection-diffusion":[43],"Peclet":[47],"number.":[48],"Based":[49],"on":[50],"number":[53],"numerical":[55],"studies,":[56],"it":[57],"is":[58],"concluded":[59],"that":[60],"p-extension":[61],"leads":[62],"to":[63,67],"superior":[64],"performance":[65],"due":[66],"significantly":[68],"faster":[69],"rates":[71],"coupled":[72],"convenience":[74],"modeling.":[76]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}