{"id":"https://openalex.org/W3197442426","doi":"https://doi.org/10.1007/s10915-021-01578-w","title":"Positivity-Preserving Well-Balanced Arbitrary Lagrangian\u2013Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations","display_name":"Positivity-Preserving Well-Balanced Arbitrary Lagrangian\u2013Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations","publication_year":2021,"publication_date":"2021-07-21","ids":{"openalex":"https://openalex.org/W3197442426","doi":"https://doi.org/10.1007/s10915-021-01578-w","mag":"3197442426"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01578-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01578-w","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5100366498","display_name":"Weijie Zhang","orcid":"https://orcid.org/0000-0002-6462-6067"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weijie Zhang","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035034346","display_name":"Yinhua Xia","orcid":"https://orcid.org/0000-0001-8120-3560"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinhua Xia","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078337531","display_name":"Yan Xu","orcid":"https://orcid.org/0000-0001-6483-4336"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Xu","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People\u2019s Republic of China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People's Republic of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100366498"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.6556,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.89734859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"88","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.8183255791664124},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.769914984703064},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7624138593673706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7311258912086487},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7130258679389954},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5806418657302856},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5388955473899841},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.4645049273967743},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.41041770577430725},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.3856823742389679},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.333890438079834},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.316064715385437},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.26375067234039307},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19024330377578735}],"concepts":[{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.8183255791664124},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.769914984703064},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7624138593673706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7311258912086487},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7130258679389954},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5806418657302856},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5388955473899841},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.4645049273967743},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.41041770577430725},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.3856823742389679},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.333890438079834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.316064715385437},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.26375067234039307},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19024330377578735},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-021-01578-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01578-w","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G241433331","display_name":null,"funder_award_id":"11871449","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4408404018","display_name":null,"funder_award_id":"TZZT2019-A2.3","funder_id":"https://openalex.org/F4320336025","funder_display_name":"Science Challenge Project"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336025","display_name":"Science Challenge Project","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W101715435","https://openalex.org/W976733506","https://openalex.org/W1608445215","https://openalex.org/W1970640119","https://openalex.org/W1973083629","https://openalex.org/W1973481688","https://openalex.org/W1975146708","https://openalex.org/W1975628738","https://openalex.org/W1980210033","https://openalex.org/W1981001745","https://openalex.org/W1982465309","https://openalex.org/W1982883068","https://openalex.org/W1990790313","https://openalex.org/W1993923624","https://openalex.org/W1994955324","https://openalex.org/W1999991640","https://openalex.org/W2004865888","https://openalex.org/W2016330536","https://openalex.org/W2018388088","https://openalex.org/W2020752851","https://openalex.org/W2037019252","https://openalex.org/W2039014496","https://openalex.org/W2040219002","https://openalex.org/W2051446107","https://openalex.org/W2059714801","https://openalex.org/W2065852546","https://openalex.org/W2065908448","https://openalex.org/W2084025336","https://openalex.org/W2085961649","https://openalex.org/W2109350794","https://openalex.org/W2116729868","https://openalex.org/W2120826174","https://openalex.org/W2127262089","https://openalex.org/W2140662036","https://openalex.org/W2155785405","https://openalex.org/W2464330124","https://openalex.org/W2509790526","https://openalex.org/W2547741353","https://openalex.org/W2604958086","https://openalex.org/W2830553926","https://openalex.org/W2904409114","https://openalex.org/W2962853163","https://openalex.org/W2993410180","https://openalex.org/W3010292040","https://openalex.org/W3037343950","https://openalex.org/W3100529908"],"related_works":["https://openalex.org/W2726528067","https://openalex.org/W2129573473","https://openalex.org/W2380255313","https://openalex.org/W2952149072","https://openalex.org/W2154700905","https://openalex.org/W2389135180","https://openalex.org/W4323781213","https://openalex.org/W3027560054","https://openalex.org/W131452667","https://openalex.org/W2074209692"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
