{"id":"https://openalex.org/W3084152383","doi":"https://doi.org/10.1137/18m1206461","title":"Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems","display_name":"Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3084152383","doi":"https://doi.org/10.1137/18m1206461","mag":"3084152383"},"language":"en","primary_location":{"id":"doi:10.1137/18m1206461","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1206461","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/A5022110927","display_name":"Ceren G\u00fcrkan","orcid":"https://orcid.org/0000-0002-1240-5801"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ceren G\u00fcrkan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013656898","display_name":"Simon Sticko","orcid":"https://orcid.org/0000-0002-4694-4731"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simon Sticko","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5026054273","display_name":"Andr\u00e9 Massing","orcid":"https://orcid.org/0000-0003-0803-9041"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Massing","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0803-9041","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5209,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.89081581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"42","issue":"5","first_page":"A2620","last_page":"A2654"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/advection","display_name":"Advection","score":0.8804166316986084},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7494029402732849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.68898606300354},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6493189334869385},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5942597389221191},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.58986496925354},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.49321240186691284},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.46421411633491516},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4539373815059662},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4467695355415344},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4325251579284668},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31903499364852905},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.28143495321273804},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07045844197273254}],"concepts":[{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.8804166316986084},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7494029402732849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.68898606300354},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6493189334869385},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5942597389221191},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.58986496925354},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49321240186691284},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.46421411633491516},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4539373815059662},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4467695355415344},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4325251579284668},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31903499364852905},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.28143495321273804},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07045844197273254},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/18m1206461","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1206461","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":[],"awards":[{"id":"https://openalex.org/G1648668058","display_name":null,"funder_award_id":"2017-05038","funder_id":"https://openalex.org/F4320321033","funder_display_name":"Svenska Forskningsr\u00e5det Formas"},{"id":"https://openalex.org/G6007035533","display_name":null,"funder_award_id":"JCK-1612","funder_id":"https://openalex.org/F4320324135","funder_display_name":"Kempestiftelserna"}],"funders":[{"id":"https://openalex.org/F4320321033","display_name":"Svenska Forskningsr\u00e5det Formas","ror":"https://ror.org/03pjs1y45"},{"id":"https://openalex.org/F4320324135","display_name":"Kempestiftelserna","ror":"https://ror.org/05cszw148"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":82,"referenced_works":["https://openalex.org/W179594468","https://openalex.org/W837922515","https://openalex.org/W1572985915","https://openalex.org/W1580379419","https://openalex.org/W1954925424","https://openalex.org/W1967323342","https://openalex.org/W1973767041","https://openalex.org/W1982465309","https://openalex.org/W1982883068","https://openalex.org/W1983195644","https://openalex.org/W1985933103","https://openalex.org/W1986814656","https://openalex.org/W1990603227","https://openalex.org/W1991785777","https://openalex.org/W1995653039","https://openalex.org/W1996858170","https://openalex.org/W1997612340","https://openalex.org/W1999506541","https://openalex.org/W2012071009","https://openalex.org/W2014282047","https://openalex.org/W2015350864","https://openalex.org/W2015418516","https://openalex.org/W2020152794","https://openalex.org/W2026370306","https://openalex.org/W2026749842","https://openalex.org/W2029725158","https://openalex.org/W2030137526","https://openalex.org/W2032909949","https://openalex.org/W2038653724","https://openalex.org/W2056570045","https://openalex.org/W2058398001","https://openalex.org/W2060781189","https://openalex.org/W2061076289","https://openalex.org/W2064715153","https://openalex.org/W2068543868","https://openalex.org/W2069084681","https://openalex.org/W2075289636","https://openalex.org/W2077194398","https://openalex.org/W2078551288","https://openalex.org/W2082741499","https://openalex.org/W2084302883","https://openalex.org/W2086433914","https://openalex.org/W2087652755","https://openalex.org/W2092436849","https://openalex.org/W2096732223","https://openalex.org/W2098763399","https://openalex.org/W2105138751","https://openalex.org/W2107376855","https://openalex.org/W2122379318","https://openalex.org/W2123048683","https://openalex.org/W2125822172","https://openalex.org/W2127983584","https://openalex.org/W2130350269","https://openalex.org/W2134719842","https://openalex.org/W2142718071","https://openalex.org/W2142836322","https://openalex.org/W2152632340","https://openalex.org/W2153871741","https://openalex.org/W2158817331","https://openalex.org/W2166182578","https://openalex.org/W2176375880","https://openalex.org/W2216686439","https://openalex.org/W2235228083","https://openalex.org/W2266052957","https://openalex.org/W2277309680","https://openalex.org/W2297630197","https://openalex.org/W2333159705","https://openalex.org/W2411757292","https://openalex.org/W2509790526","https://openalex.org/W2516727572","https://openalex.org/W2537053663","https://openalex.org/W2583875019","https://openalex.org/W2613528476","https://openalex.org/W2616014174","https://openalex.org/W2687863721","https://openalex.org/W2737850047","https://openalex.org/W2757762990","https://openalex.org/W2954083742","https://openalex.org/W2963005283","https://openalex.org/W2963410176","https://openalex.org/W2963847861","https://openalex.org/W3104013212"],"related_works":["https://openalex.org/W3036101264","https://openalex.org/W2163151373","https://openalex.org/W1986676657","https://openalex.org/W623557396","https://openalex.org/W4238257821","https://openalex.org/W2165001118","https://openalex.org/W2022713607","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":{"We":[0],"develop":[1],"novel":[2],"stabilized":[3],"cut":[4,30,46,106],"discontinuous":[5],"Galerkin":[6],"methods":[7],"for":[8,95,127,132],"advection-reaction":[9,98],"problems.":[10,137],"The":[11,116],"domain":[12,27],"of":[13,55,103,110,124],"interest":[14],"is":[15],"embedded":[16,57],"into":[17],"a":[18,88,122],"structured,":[19],"unfitted":[20],"background":[21],"mesh":[22,33],"in":[23,34,52],"$\\mathbb{R}^d$":[24],"where":[25],"the":[26,32,53,56,65,75,96,104],"boundary":[28,58],"can":[29],"through":[31],"an":[35],"arbitrary":[36],"fashion.":[37],"To":[38],"cope":[39],"with":[40,64],"robustness":[41],"problems":[42],"caused":[43],"by":[44,121],"small":[45],"elements,":[47],"we":[48],"introduce":[49],"ghost":[50,76,112],"penalties":[51,77,113],"vicinity":[54],"to":[59,82],"stabilize":[60],"certain":[61],"(semi-)norms":[62],"associated":[63],"advection":[66],"and":[67,86,91,131,134],"reaction":[68],"operator.":[69],"A":[70],"few":[71],"abstract":[72],"assumptions":[73],"on":[74],"are":[78,114,119],"identified":[79],"enabling":[80],"us":[81],"derive":[83],"geometrically":[84],"robust":[85],"optimal":[87],"priori":[89],"error":[90],"condition":[92],"number":[93,123],"estimates":[94],"stationary":[97],"problem":[99],"which":[100],"hold":[101],"irrespective":[102],"particular":[105],"configuration.":[107],"Possible":[108],"realizations":[109],"suitable":[111],"discussed.":[115],"theoretical":[117],"results":[118],"corroborated":[120],"computational":[125],"studies":[126],"various":[128],"approximation":[129],"orders":[130],"two-":[133],"three-dimensional":[135],"test":[136]},"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":5},{"year":2021,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
