{"id":"https://openalex.org/W3195591110","doi":"https://doi.org/10.1137/20m1344081","title":"A New Troubled-Cell Indicator for Discontinuous Galerkin Methods Using K-Means Clustering","display_name":"A New Troubled-Cell Indicator for Discontinuous Galerkin Methods Using K-Means Clustering","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3195591110","doi":"https://doi.org/10.1137/20m1344081","mag":"3195591110"},"language":"en","primary_location":{"id":"doi:10.1137/20m1344081","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1344081","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5002671591","display_name":"Hongqiang Zhu","orcid":"https://orcid.org/0000-0003-1471-4509"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hongqiang Zhu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054451967","display_name":"Haiyun Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haiyun Wang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5075250097","display_name":"Zhen Gao","orcid":"https://orcid.org/0000-0002-3096-5378"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhen Gao","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002671591"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2582,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71934387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"43","issue":"4","first_page":"A3009","last_page":"A3031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9988999962806702,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7523365020751953},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6078416109085083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6028790473937988},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5646112561225891},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.47198420763015747},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.426496297121048},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.28394854068756104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26930665969848633},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18154656887054443},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.12584403157234192},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08465370535850525}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7523365020751953},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6078416109085083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6028790473937988},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5646112561225891},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.47198420763015747},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.426496297121048},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.28394854068756104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26930665969848633},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18154656887054443},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.12584403157234192},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08465370535850525},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1344081","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1344081","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G2554183572","display_name":null,"funder_award_id":"2019KJ1002","funder_id":"https://openalex.org/F4320313895","funder_display_name":"Department of Science and Technology of Shandong Province"},{"id":"https://openalex.org/G3390569845","display_name":null,"funder_award_id":"BK20191375","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G7649135715","display_name":null,"funder_award_id":"11871443","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320313895","display_name":"Department of Science and Technology of Shandong Province","ror":"https://ror.org/01b9fvd84"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1970529458","https://openalex.org/W1973481688","https://openalex.org/W1982465309","https://openalex.org/W1990739729","https://openalex.org/W1993923624","https://openalex.org/W1999399767","https://openalex.org/W2002775473","https://openalex.org/W2004791924","https://openalex.org/W2009368052","https://openalex.org/W2011430131","https://openalex.org/W2011479495","https://openalex.org/W2018823890","https://openalex.org/W2027087330","https://openalex.org/W2028525550","https://openalex.org/W2033965472","https://openalex.org/W2038107889","https://openalex.org/W2065908448","https://openalex.org/W2070854540","https://openalex.org/W2078033075","https://openalex.org/W2085961649","https://openalex.org/W2088718866","https://openalex.org/W2104463304","https://openalex.org/W2109614403","https://openalex.org/W2117637898","https://openalex.org/W2153233077","https://openalex.org/W2171874920","https://openalex.org/W2299467264","https://openalex.org/W2340914548","https://openalex.org/W2586937927","https://openalex.org/W2617066709","https://openalex.org/W2726528067","https://openalex.org/W2768535327","https://openalex.org/W2898842442","https://openalex.org/W2957477020","https://openalex.org/W3010292040","https://openalex.org/W3044479317","https://openalex.org/W4252060206"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4388258507","https://openalex.org/W2392013855","https://openalex.org/W623557396","https://openalex.org/W4318064328","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440","https://openalex.org/W2943697195","https://openalex.org/W2064065738"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"8":[17],"June":[18],"2020Accepted:":[19],"11":[20],"May":[21],"2021Published":[22],"online:":[23],"26":[24],"August":[25],"2021Keywordstroubled-cell":[26],"indicator,":[27],"discontinuous":[28],"Galerkin":[29],"method,":[30],"K-means":[31],"clustering,":[32],"limiterAMS":[33],"Subject":[34],"Headings65M60,":[35],"65M99,":[36],"35L65Publication":[37],"DataISSN":[38],"(print):":[39],"1064-8275ISSN":[40],"(online):":[41],"1095-7197Publisher:":[42],"Society":[43],"for":[44],"Industrial":[45],"and":[46],"Applied":[47],"MathematicsCODEN:":[48],"sjoce3":[49]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}