{"id":"https://openalex.org/W2617737431","doi":"https://doi.org/10.1007/s10915-017-0471-2","title":"An Arbitrary Lagrangian\u2013Eulerian Local Discontinuous Galerkin Method for Hamilton\u2013Jacobi Equations","display_name":"An Arbitrary Lagrangian\u2013Eulerian Local Discontinuous Galerkin Method for Hamilton\u2013Jacobi Equations","publication_year":2017,"publication_date":"2017-05-29","ids":{"openalex":"https://openalex.org/W2617737431","doi":"https://doi.org/10.1007/s10915-017-0471-2","mag":"2617737431"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-017-0471-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0471-2","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/A5089167718","display_name":"Christian Klingenberg","orcid":"https://orcid.org/0000-0003-2033-8204"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]},{"id":"https://openalex.org/I2800976808","display_name":"Fischer (Germany)","ror":"https://ror.org/04xpcky34","country_code":"DE","type":"company","lineage":["https://openalex.org/I2800976808"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Klingenberg","raw_affiliation_strings":["University of W\u00fcrzburg, Emil-Fischer-Str. 40, 97074, W\u00fcrzburg, Germany","University of W\u00fcrzburg, W\u00fcrzburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of W\u00fcrzburg, Emil-Fischer-Str. 40, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101","https://openalex.org/I2800976808"]},{"raw_affiliation_string":"University of W\u00fcrzburg, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051403639","display_name":"Gero Schn\u00fccke","orcid":"https://orcid.org/0000-0002-6769-9018"},"institutions":[{"id":"https://openalex.org/I102520234","display_name":"TH K\u00f6ln - University of Applied Sciences","ror":"https://ror.org/014nnvj65","country_code":"DE","type":"education","lineage":["https://openalex.org/I102520234"]},{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]},{"id":"https://openalex.org/I4210132558","display_name":"Evangelisches Klinikum K\u00f6ln Weyertal","ror":"https://ror.org/03daz6p93","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210132558"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gero Schn\u00fccke","raw_affiliation_strings":["University of Cologne, Weyertal 86-90, 50931, K\u00f6ln, Germany","University of Cologne, K\u00f6ln, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cologne, Weyertal 86-90, 50931, K\u00f6ln, Germany","institution_ids":["https://openalex.org/I102520234","https://openalex.org/I180923762","https://openalex.org/I4210132558"]},{"raw_affiliation_string":"University of Cologne, K\u00f6ln, Germany","institution_ids":["https://openalex.org/I180923762"]}]},{"author_position":"last","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":true,"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, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-8120-3560","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, People\u2019s Republic of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5035034346"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8427,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.9015333,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"73","issue":"2-3","first_page":"906","last_page":"942"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9987000226974487,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.998199999332428,"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/mathematics","display_name":"Mathematics","score":0.8755120635032654},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6780163645744324},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6155580282211304},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.5351933240890503},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5101656913757324},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49863553047180176},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.44262826442718506},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.41046756505966187},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39179491996765137},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.17749693989753723},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15057826042175293}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8755120635032654},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6780163645744324},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6155580282211304},{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.5351933240890503},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5101656913757324},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49863553047180176},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.44262826442718506},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.41046756505966187},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39179491996765137},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.17749693989753723},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15057826042175293},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-017-0471-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0471-2","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"},{"id":"pmh:oai:USBKOELN.ub.uni-koeln.de:21074","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400371","display_name":"K\u00f6lner Universit\u00e4ts PublikationsServer (Universit\u00e4t zu K\u00f6ln)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210115942","host_organization_name":"Rhenish Institute for Environmental Research","host_organization_lineage":["https://openalex.org/I4210115942"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"doc-type:article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W153353184","https://openalex.org/W1486191412","https://openalex.org/W1507767947","https://openalex.org/W1969647398","https://openalex.org/W1983165369","https://openalex.org/W1988044952","https://openalex.org/W2012938047","https://openalex.org/W2017827790","https://openalex.org/W2027175824","https://openalex.org/W2027438381","https://openalex.org/W2037732123","https://openalex.org/W2039802576","https://openalex.org/W2061569988","https://openalex.org/W2072142280","https://openalex.org/W2079578802","https://openalex.org/W2087446945","https://openalex.org/W2119830205","https://openalex.org/W2120290852","https://openalex.org/W2143454084","https://openalex.org/W2147963686","https://openalex.org/W2154720964","https://openalex.org/W2157195870","https://openalex.org/W2170832483","https://openalex.org/W2223428242","https://openalex.org/W2464330124","https://openalex.org/W2749408143","https://openalex.org/W4205634890","https://openalex.org/W4252060206","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2726528067","https://openalex.org/W2129573473","https://openalex.org/W2807723500","https://openalex.org/W2380255313","https://openalex.org/W2952149072","https://openalex.org/W2154700905","https://openalex.org/W3098536285","https://openalex.org/W2982093746","https://openalex.org/W3043435143","https://openalex.org/W4362515624"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
