{"id":"https://openalex.org/W1975482176","doi":"https://doi.org/10.1137/130915091","title":"Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations","display_name":"Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1975482176","doi":"https://doi.org/10.1137/130915091","mag":"1975482176"},"language":"en","primary_location":{"id":"doi:10.1137/130915091","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130915091","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/A5002089116","display_name":"Yingda Cheng","orcid":"https://orcid.org/0000-0003-3229-2979"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yingda Cheng","raw_affiliation_strings":["Michigan State University"],"affiliations":[{"raw_affiliation_string":"Michigan State University","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087543049","display_name":"Irene M. Gamba","orcid":"https://orcid.org/0000-0002-4956-2376"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Irene M. Gamba","raw_affiliation_strings":["University of Texas at Austin#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101926587","display_name":"Fengyan Li","orcid":"https://orcid.org/0000-0002-2386-7702"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fengyan Li","raw_affiliation_strings":["Rensselaer Polytechnic Institute"],"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080721812","display_name":"P. Morrison","orcid":"https://orcid.org/0000-0003-1587-5072"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip J. Morrison","raw_affiliation_strings":["University of Texas at Austin#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002089116"],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":null,"apc_paid":null,"fwci":9.2574,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.98557013,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"52","issue":"2","first_page":"1017","last_page":"1049"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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/maxwells-equations","display_name":"Maxwell's equations","score":0.8389706611633301},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7690975069999695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6163517236709595},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5220329761505127},{"id":"https://openalex.org/keywords/vlasov-equation","display_name":"Vlasov equation","score":0.46614447236061096},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4310368299484253},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41257569193840027},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4121391475200653},{"id":"https://openalex.org/keywords/scattering-matrix-method","display_name":"Scattering-matrix method","score":0.41146695613861084},{"id":"https://openalex.org/keywords/weibel-instability","display_name":"Weibel instability","score":0.41049572825431824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3165062367916107},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.29506784677505493},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.29351916909217834},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.27404868602752686},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09836113452911377}],"concepts":[{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.8389706611633301},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7690975069999695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6163517236709595},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5220329761505127},{"id":"https://openalex.org/C186175660","wikidata":"https://www.wikidata.org/wiki/Q2323892","display_name":"Vlasov equation","level":3,"score":0.46614447236061096},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4310368299484253},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41257569193840027},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4121391475200653},{"id":"https://openalex.org/C22480482","wikidata":"https://www.wikidata.org/wiki/Q7430620","display_name":"Scattering-matrix method","level":3,"score":0.41146695613861084},{"id":"https://openalex.org/C2776183068","wikidata":"https://www.wikidata.org/wiki/Q7979797","display_name":"Weibel instability","level":3,"score":0.41049572825431824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3165062367916107},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.29506784677505493},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.29351916909217834},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.27404868602752686},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09836113452911377},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130915091","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130915091","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":0.550000011920929,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W49087508","https://openalex.org/W202835528","https://openalex.org/W1559947614","https://openalex.org/W1565460255","https://openalex.org/W1589271687","https://openalex.org/W1649711268","https://openalex.org/W1969647398","https://openalex.org/W1971193782","https://openalex.org/W1973481688","https://openalex.org/W1974099477","https://openalex.org/W1975704187","https://openalex.org/W1977287684","https://openalex.org/W1982465309","https://openalex.org/W1982883068","https://openalex.org/W1993923624","https://openalex.org/W1994559409","https://openalex.org/W1997251924","https://openalex.org/W1998367768","https://openalex.org/W2002083525","https://openalex.org/W2018814050","https://openalex.org/W2020678915","https://openalex.org/W2022113824","https://openalex.org/W2026407691","https://openalex.org/W2026836732","https://openalex.org/W2028380255","https://openalex.org/W2029478130","https://openalex.org/W2031008300","https://openalex.org/W2033506456","https://openalex.org/W2034857587","https://openalex.org/W2036155803","https://openalex.org/W2039913597","https://openalex.org/W2043376739","https://openalex.org/W2052412607","https://openalex.org/W2055237935","https://openalex.org/W2057583810","https://openalex.org/W2060908471","https://openalex.org/W2063431925","https://openalex.org/W2065908448","https://openalex.org/W2067773203","https://openalex.org/W2070035917","https://openalex.org/W2070289100","https://openalex.org/W2074709256","https://openalex.org/W2075218704","https://openalex.org/W2078033075","https://openalex.org/W2084895304","https://openalex.org/W2085961649","https://openalex.org/W2086617698","https://openalex.org/W2090988622","https://openalex.org/W2103107201","https://openalex.org/W2116729868","https://openalex.org/W2126057791","https://openalex.org/W2137362508","https://openalex.org/W2143296514","https://openalex.org/W2148654107","https://openalex.org/W2168588739","https://openalex.org/W2170476255","https://openalex.org/W2328632875","https://openalex.org/W2330734096","https://openalex.org/W2964121878","https://openalex.org/W3010292040","https://openalex.org/W3048087219","https://openalex.org/W3103021080","https://openalex.org/W3103817849","https://openalex.org/W3105638085","https://openalex.org/W4241160358"],"related_works":["https://openalex.org/W69679081","https://openalex.org/W2084867621","https://openalex.org/W2117998300","https://openalex.org/W1996112457","https://openalex.org/W2106524561","https://openalex.org/W2042998516","https://openalex.org/W2087592144","https://openalex.org/W154187677","https://openalex.org/W1528754490","https://openalex.org/W2478045533"],"abstract_inverted_index":{"Discontinuous":[0],"Galerkin":[1,54],"methods":[2,10],"are":[3,12,35,113,139],"developed":[4],"for":[5,44,56,102,115],"solving":[6],"the":[7,46,58,61,70,89,99,103,107,124,128,136],"Vlasov--Maxwell":[8,47],"system,":[9],"that":[11,84],"designed":[13],"to":[14,37,80],"be":[15,93],"systematically":[16],"as":[17,19],"accurate":[18],"one":[20],"wants":[21],"with":[22,95],"provable":[23],"conservation":[24,133],"of":[25,69,98,130,135],"mass":[26],"and":[27,60,73,88,106,132],"possibly":[28],"total":[29,90],"energy.":[30],"Such":[31],"properties":[32,134],"in":[33,65],"general":[34],"hard":[36],"achieve":[38],"within":[39],"other":[40],"numerical":[41,100],"method":[42,138],"frameworks":[43],"simulating":[45],"system.":[48],"The":[49,119],"proposed":[50,137],"scheme":[51,120],"employs":[52],"discontinuous":[53],"discretizations":[55],"both":[57],"Vlasov":[59],"Maxwell":[62,104],"equations,":[63],"resulting":[64],"a":[66],"consistent":[67],"description":[68],"distribution":[71],"function":[72],"electromagnetic":[74],"fields.":[75],"It":[76],"is":[77,86,121],"proven,":[78],"up":[79],"some":[81],"boundary":[82],"effects,":[83],"charge":[85],"conserved":[87],"energy":[91],"can":[92],"preserved":[94],"suitable":[96],"choices":[97],"flux":[101,117],"equations":[105],"underlying":[108],"approximation":[109],"spaces.":[110],"Error":[111],"estimates":[112],"established":[114],"several":[116],"choices.":[118],"tested":[122],"on":[123],"streaming":[125],"Weibel":[126],"instability:":[127],"order":[129],"accuracy":[131],"verified.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}