{"id":"https://openalex.org/W3169562054","doi":"https://doi.org/10.1515/cmam-2021-0003","title":"Dual System Least-Squares Finite Element Method for a Hyperbolic Problem","display_name":"Dual System Least-Squares Finite Element Method for a Hyperbolic Problem","publication_year":2021,"publication_date":"2021-06-04","ids":{"openalex":"https://openalex.org/W3169562054","doi":"https://doi.org/10.1515/cmam-2021-0003","mag":"3169562054"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2021-0003","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2021-0003","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/A5100321866","display_name":"Eunjung Lee","orcid":"https://orcid.org/0000-0001-9989-3555"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Eunjung Lee","raw_affiliation_strings":["School of Mathematics and Computing , Yonsei University , Seoul , Republic of Korea"],"raw_orcid":"https://orcid.org/0000-0001-9989-3555","affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing , Yonsei University , Seoul , Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039257164","display_name":"Hyesun Na","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyesun Na","raw_affiliation_strings":["School of Mathematics and Computing , Yonsei University , Seoul , Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing , Yonsei University , Seoul , Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100321866"],"corresponding_institution_ids":["https://openalex.org/I193775966"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08046996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"22","issue":"1","first_page":"113","last_page":"131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6771002411842346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6309196949005127},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5649096965789795},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5640283823013306},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5245511531829834},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.5154567360877991},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.51099693775177},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.49926090240478516},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4985957145690918},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.48164859414100647},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38593411445617676},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32357627153396606},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.10746994614601135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0907948911190033}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6771002411842346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6309196949005127},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5649096965789795},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5640283823013306},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5245511531829834},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.5154567360877991},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.51099693775177},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.49926090240478516},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4985957145690918},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.48164859414100647},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38593411445617676},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32357627153396606},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.10746994614601135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0907948911190033},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2021-0003","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2021-0003","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":[{"score":0.6899999976158142,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G3183769983","display_name":null,"funder_award_id":"2015R1D1A1A01056909","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G5176945188","display_name":null,"funder_award_id":"2018R1D1A1B07042973","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W157107253","https://openalex.org/W1555557982","https://openalex.org/W1959478662","https://openalex.org/W1964846831","https://openalex.org/W1979560958","https://openalex.org/W1995175487","https://openalex.org/W1997028004","https://openalex.org/W1998622889","https://openalex.org/W2006910694","https://openalex.org/W2024183921","https://openalex.org/W2026388260","https://openalex.org/W2031803127","https://openalex.org/W2031838089","https://openalex.org/W2035012568","https://openalex.org/W2040609351","https://openalex.org/W2041070367","https://openalex.org/W2043826413","https://openalex.org/W2047612590","https://openalex.org/W2065438814","https://openalex.org/W2071622123","https://openalex.org/W2071700284","https://openalex.org/W2079222606","https://openalex.org/W2091196763","https://openalex.org/W2099656682","https://openalex.org/W2099917284","https://openalex.org/W2104736025","https://openalex.org/W2139034366","https://openalex.org/W2197643248","https://openalex.org/W2468564104","https://openalex.org/W2553393138","https://openalex.org/W2731784000","https://openalex.org/W2777816231","https://openalex.org/W2778697989","https://openalex.org/W2790769003","https://openalex.org/W2811103545","https://openalex.org/W2890976672","https://openalex.org/W2903905322","https://openalex.org/W2913818203","https://openalex.org/W2943983740","https://openalex.org/W2971820548","https://openalex.org/W2988049787","https://openalex.org/W2999603294","https://openalex.org/W3005456951","https://openalex.org/W3009616182","https://openalex.org/W3016664815","https://openalex.org/W3019580360","https://openalex.org/W3034283535","https://openalex.org/W3045456967","https://openalex.org/W3123330485","https://openalex.org/W3204708751","https://openalex.org/W4234844918","https://openalex.org/W4248122039","https://openalex.org/W4252104256","https://openalex.org/W6604197512"],"related_works":["https://openalex.org/W5027299","https://openalex.org/W35113386","https://openalex.org/W48217088","https://openalex.org/W51601222","https://openalex.org/W5260244","https://openalex.org/W41949079","https://openalex.org/W55242201","https://openalex.org/W57965903","https://openalex.org/W11533407","https://openalex.org/W29491507"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"study":[2],"investigates":[3],"the":[4,12,32,42,49,69,74,93],"dual":[5],"system":[6],"least-squares":[7],"finite":[8],"element":[9],"method,":[10,15],"namely":[11],"LL":[13,33,51],"\u2217":[14,34,52],"for":[16],"a":[17,29,45],"hyperbolic":[18,24],"problem.":[19],"It":[20],"mainly":[21],"considers":[22],"nonlinear":[23],"conservation":[25],"laws":[26],"and":[27,36,73,86],"proposes":[28],"combination":[30],"of":[31,44,95],"method":[35],"Newton\u2019s":[37],"iterative":[38],"method.":[39],"In":[40],"addition,":[41],"inclusion":[43],"stabilizing":[46],"term":[47],"in":[48,83,92],"discrete":[50],"minimization":[53],"problem":[54],"is":[55,66,81],"proposed,":[56],"which":[57],"has":[58],"not":[59],"been":[60],"investigated":[61],"previously.":[62],"The":[63],"proposed":[64],"approach":[65,80],"validated":[67],"using":[68],"one-dimensional":[70],"Burgers":[71],"equation,":[72],"numerical":[75],"results":[76],"show":[77],"that":[78],"this":[79],"effective":[82],"capturing":[84],"shocks":[85],"provides":[87],"approximations":[88],"with":[89],"reduced":[90],"oscillations":[91],"presence":[94],"shocks.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
