{"id":"https://openalex.org/W2952950944","doi":"https://doi.org/10.1137/19m1268318","title":"A Stabilized DG Cut Cell Method for Discretizing the Linear Transport Equation","display_name":"A Stabilized DG Cut Cell Method for Discretizing the Linear Transport Equation","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2952950944","doi":"https://doi.org/10.1137/19m1268318","mag":"2952950944"},"language":"en","primary_location":{"id":"doi:10.1137/19m1268318","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1268318","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1906.05642","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083989030","display_name":"Christian Engwer","orcid":"https://orcid.org/0000-0002-6041-8228"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christian Engwer","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6041-8228","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071317182","display_name":"Sandra May","orcid":"https://orcid.org/0000-0001-9178-6595"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sandra May","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9178-6595","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081824885","display_name":"Andreas N\u00fc\u00dfing","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andreas N\u00fc\u00dfing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5052019567","display_name":"Florian Streitb\u00fcrger","orcid":"https://orcid.org/0000-0003-0894-3671"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Florian Streitb\u00fcrger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1801,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.42599471,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"42","issue":"6","first_page":"A3677","last_page":"A3703"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9995999932289124,"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/T11416","display_name":"Numerical methods for differential equations","score":0.996399998664856,"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/discretization","display_name":"Discretization","score":0.8224437236785889},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7428398132324219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6982460618019104},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6687148213386536},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.592313826084137},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5211008787155151},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46349096298217773},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.45297330617904663},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4467144012451172},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4285633862018585},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41784435510635376},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4110150635242462},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.29708582162857056},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.19301900267601013},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1551419496536255},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10741010308265686},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09869542717933655}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8224437236785889},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7428398132324219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6982460618019104},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6687148213386536},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.592313826084137},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5211008787155151},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46349096298217773},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.45297330617904663},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4467144012451172},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4285633862018585},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41784435510635376},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4110150635242462},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.29708582162857056},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.19301900267601013},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1551419496536255},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10741010308265686},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09869542717933655},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/19m1268318","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1268318","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"},{"id":"pmh:oai:arXiv.org:1906.05642","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.05642","pdf_url":"https://arxiv.org/pdf/1906.05642","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2952950944","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1906.05642v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:eldorado.tu-dortmund.de:2003/38094","is_oa":false,"landing_page_url":"http://hdl.handle.net/2003/38094","pdf_url":null,"source":{"id":"https://openalex.org/S4306400811","display_name":"Technische Universit\u00e4t Dortmund Eldorado (Technische Universit\u00e4t Dortmund)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210148506","host_organization_name":"Erich-Brost-Institut","host_organization_lineage":["https://openalex.org/I4210148506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:Text"},{"id":"doi:10.48550/arxiv.1906.05642","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.05642","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.17877/de290r-20076","is_oa":true,"landing_page_url":"https://doi.org/10.17877/de290r-20076","pdf_url":null,"source":{"id":"https://openalex.org/S4306400811","display_name":"Technische Universit\u00e4t Dortmund Eldorado (Technische Universit\u00e4t Dortmund)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210148506","host_organization_name":"Erich-Brost-Institut","host_organization_lineage":["https://openalex.org/I4210148506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1906.05642","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.05642","pdf_url":"https://arxiv.org/pdf/1906.05642","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W58623853","https://openalex.org/W108247611","https://openalex.org/W628726389","https://openalex.org/W1531416578","https://openalex.org/W1537224157","https://openalex.org/W1572985915","https://openalex.org/W1963704459","https://openalex.org/W1963704964","https://openalex.org/W1969647398","https://openalex.org/W1975667832","https://openalex.org/W1981891092","https://openalex.org/W1989019312","https://openalex.org/W1995653039","https://openalex.org/W1997542633","https://openalex.org/W2013511487","https://openalex.org/W2025700795","https://openalex.org/W2034976587","https://openalex.org/W2040896717","https://openalex.org/W2046430532","https://openalex.org/W2056087726","https://openalex.org/W2059257656","https://openalex.org/W2075289636","https://openalex.org/W2078551288","https://openalex.org/W2082048236","https://openalex.org/W2086433914","https://openalex.org/W2102635728","https://openalex.org/W2111413571","https://openalex.org/W2183283450","https://openalex.org/W2411757292","https://openalex.org/W2417863416","https://openalex.org/W2516727572","https://openalex.org/W2557328831","https://openalex.org/W2613528476","https://openalex.org/W2749792993","https://openalex.org/W2754183950","https://openalex.org/W2757762990","https://openalex.org/W2884526656","https://openalex.org/W2950492144","https://openalex.org/W2961157503","https://openalex.org/W2983150775","https://openalex.org/W4252060206"],"related_works":["https://openalex.org/W3158094109","https://openalex.org/W3163984771","https://openalex.org/W3181288005","https://openalex.org/W2025488675","https://openalex.org/W3104136857","https://openalex.org/W2562713169","https://openalex.org/W2997611178","https://openalex.org/W2767491077","https://openalex.org/W3132484919","https://openalex.org/W2283904712","https://openalex.org/W2983150775","https://openalex.org/W1842830343","https://openalex.org/W2889420558","https://openalex.org/W2005723252","https://openalex.org/W2937780486","https://openalex.org/W2950909695","https://openalex.org/W2475187870","https://openalex.org/W27168786","https://openalex.org/W3150832514","https://openalex.org/W3207946071"],"abstract_inverted_index":{"We":[0,128],"present":[1,130],"new":[2],"stabilization":[3],"terms":[4,66],"for":[5,34,59,98,124],"solving":[6],"the":[7,17,40,60,69,99,109,121],"linear":[8,27,126],"transport":[9],"equation":[10],"on":[11,71,87],"a":[12,46,54,76,91,113],"cut":[13,43,73,88],"cell":[14],"mesh":[15,62],"using":[16],"discontinuous":[18],"Galerkin":[19],"(DG)":[20],"method":[21,47],"in":[22,75,120,133],"two":[23,136],"dimensions":[24,137],"with":[25,53,90,112],"piecewise":[26,125],"polynomials.":[28,127],"The":[29],"goal":[30],"is":[31,96],"to":[32],"allow":[33],"explicit":[35,83],"time":[36,84,92],"stepping":[37],"schemes":[38],"despite":[39],"presence":[41],"of":[42,48,108],"cells.":[44],"Using":[45],"lines":[49],"approach,":[50],"we":[51,105],"start":[52],"standard":[55],"upwind":[56],"DG":[57],"discretization":[58],"background":[61,100],"and":[63,116,135],"add":[64],"penalty":[65],"that":[67,95,138],"stabilize":[68],"solution":[70],"small":[72],"cells":[74],"conservative":[77],"way.":[78],"Then":[79],"one":[80,103,134],"can":[81],"use":[82],"stepping,":[85],"even":[86],"cells,":[89],"step":[93],"length":[94],"appropriate":[97],"mesh.":[101],"In":[102],"dimension,":[104],"show":[106],"monotonicity":[107],"proposed":[110],"scheme":[111],"constant":[114],"basis":[115],"total":[117],"variation":[118],"diminishing":[119],"means":[122],"stability":[123],"also":[129],"numerical":[131],"results":[132],"support":[139],"our":[140],"theoretical":[141],"findings.":[142]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
