{"id":"https://openalex.org/W1984701620","doi":"https://doi.org/10.1137/06067345x","title":"Weighted-Norm First-Order System Least-Squares (FOSLS) for Div/Curl Systems with Three Dimensional Edge Singularities","display_name":"Weighted-Norm First-Order System Least-Squares (FOSLS) for Div/Curl Systems with Three Dimensional Edge Singularities","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1984701620","doi":"https://doi.org/10.1137/06067345x","mag":"1984701620"},"language":"en","primary_location":{"id":"doi:10.1137/06067345x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06067345x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5100321866","display_name":"Eunjung Lee","orcid":"https://orcid.org/0000-0001-9989-3555"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"E. Lee","raw_affiliation_strings":["Department of Computational Science and Engineering"],"affiliations":[{"raw_affiliation_string":"Department of Computational Science and Engineering","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008694561","display_name":"Thomas A. Manteuffel","orcid":"https://orcid.org/0000-0002-8897-4146"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. A. Manteuffel","raw_affiliation_strings":["University of Colorado \u2010 Boulder"],"affiliations":[{"raw_affiliation_string":"University of Colorado \u2010 Boulder","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016667715","display_name":"Chad Westphal","orcid":"https://orcid.org/0000-0002-8019-6415"},"institutions":[{"id":"https://openalex.org/I24511612","display_name":"Wabash College","ror":"https://ror.org/00p11pk44","country_code":"US","type":"education","lineage":["https://openalex.org/I24511612"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. R. Westphal","raw_affiliation_strings":["Wabash College;"],"affiliations":[{"raw_affiliation_string":"Wabash College;","institution_ids":["https://openalex.org/I24511612"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100321866"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2369,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.86923929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"3","first_page":"1619","last_page":"1639"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9986000061035156,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8728159666061401},{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.809664249420166},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.6306251287460327},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5998063683509827},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5434200763702393},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49886226654052734},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.471368670463562},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4367968440055847},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.42187929153442383},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07776302099227905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06990492343902588}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8728159666061401},{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.809664249420166},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6306251287460327},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5998063683509827},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5434200763702393},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49886226654052734},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.471368670463562},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4367968440055847},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.42187929153442383},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07776302099227905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06990492343902588},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/06067345x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06067345x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W21326251","https://openalex.org/W563653027","https://openalex.org/W1502992081","https://openalex.org/W1674659126","https://openalex.org/W1972266198","https://openalex.org/W1977400355","https://openalex.org/W1980157146","https://openalex.org/W2007233211","https://openalex.org/W2007604045","https://openalex.org/W2027465934","https://openalex.org/W2030826026","https://openalex.org/W2040098164","https://openalex.org/W2040682882","https://openalex.org/W2042148637","https://openalex.org/W2060596236","https://openalex.org/W2064569613","https://openalex.org/W2068798260","https://openalex.org/W2071704402","https://openalex.org/W2080657603","https://openalex.org/W2094695561","https://openalex.org/W2130711343","https://openalex.org/W2132292023","https://openalex.org/W2163440807","https://openalex.org/W2489432230","https://openalex.org/W2934526567","https://openalex.org/W4230108662","https://openalex.org/W4244513512","https://openalex.org/W4250174009","https://openalex.org/W4300911133"],"related_works":["https://openalex.org/W2382844561","https://openalex.org/W2083529992","https://openalex.org/W816511862","https://openalex.org/W2238883956","https://openalex.org/W2948362504","https://openalex.org/W2643941443","https://openalex.org/W2047855059","https://openalex.org/W3012106957","https://openalex.org/W2799711503","https://openalex.org/W4224227166"],"abstract_inverted_index":{"A":[0],"weighted-norm":[1],"first-order":[2],"system":[3],"least-squares":[4,20,45],"(FOSLS)":[5],"method":[6],"for":[7],"div/curl":[8],"problems":[9],"with":[10,58],"edge":[11],"singularities":[12],"is":[13,54],"presented.":[14],"Traditional":[15],"finite":[16],"element":[17],"methods,":[18,21],"including":[19],"often":[22],"suffer":[23],"from":[24],"a":[25,35,43],"global":[26],"loss":[27],"of":[28,34],"accuracy":[29,48],"due":[30],"to":[31,70],"the":[32,72],"influence":[33],"nonsmooth":[36],"solution":[37],"near":[38],"polyhedral":[39],"edges.":[40],"By":[41],"minimizing":[42],"modified":[44],"functional,":[46],"optimal":[47],"in":[49],"weighted":[50],"and":[51,59,65],"nonweighted":[52],"norms":[53],"recovered.":[55],"Error":[56],"estimates":[57],"without":[60],"mesh":[61],"refinements":[62],"are":[63,68],"presented,":[64],"numerical":[66],"results":[67],"given":[69],"confirm":[71],"theory.":[73]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}