{"id":"https://openalex.org/W4391954805","doi":"https://doi.org/10.1515/cmam-2023-0090","title":"A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry","display_name":"A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry","publication_year":2024,"publication_date":"2024-02-20","ids":{"openalex":"https://openalex.org/W4391954805","doi":"https://doi.org/10.1515/cmam-2023-0090"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2023-0090","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2023-0090","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2023-0090/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2023-0090/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021753810","display_name":"Riccardo Bardin","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Riccardo Bardin","raw_affiliation_strings":["Faculty of Electrical Engineering, Mathematics and Computer Science , [ 168081]University of Twente, Enschede , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mathematics and Computer Science , [ 168081]University of Twente, Enschede , The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050422611","display_name":"Fleurianne Bertrand","orcid":"https://orcid.org/0000-0001-5111-5105"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Fleurianne Bertrand","raw_affiliation_strings":["Faculty of Electrical Engineering, Mathematics and Computer Science , [ 168081]University of Twente, Enschede , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mathematics and Computer Science , [ 168081]University of Twente, Enschede , The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079959353","display_name":"Olena Palii","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Olena Palii","raw_affiliation_strings":["Faculty of Electrical Engineering, Mathematics and Computer Science , [ 168081]University of Twente, Enschede , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mathematics and Computer Science , [ 168081]University of Twente, Enschede , The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066390919","display_name":"Matthias Schlottbom","orcid":"https://orcid.org/0000-0002-2527-6498"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Matthias Schlottbom","raw_affiliation_strings":["Faculty of Electrical Engineering, Mathematics and Computer Science , [ 168081]University of Twente, Enschede , The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-2527-6498","affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mathematics and Computer Science , [ 168081]University of Twente, Enschede , The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5066390919"],"corresponding_institution_ids":["https://openalex.org/I94624287"],"apc_list":null,"apc_paid":null,"fwci":1.0748,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69677354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"24","issue":"3","first_page":"557","last_page":"576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12304","display_name":"Radiative Heat Transfer Studies","score":0.9983999729156494,"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.9983999729156494,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.995199978351593,"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/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7682124376296997},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.70743727684021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6541572213172913},{"id":"https://openalex.org/keywords/radiative-transfer","display_name":"Radiative transfer","score":0.6416875123977661},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6291106343269348},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5502984523773193},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49999380111694336},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46216675639152527},{"id":"https://openalex.org/keywords/slab","display_name":"Slab","score":0.4525411128997803},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4207548499107361},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4027926027774811},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.24385496973991394},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.130262553691864}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7682124376296997},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.70743727684021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6541572213172913},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.6416875123977661},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6291106343269348},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5502984523773193},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49999380111694336},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46216675639152527},{"id":"https://openalex.org/C113740112","wikidata":"https://www.wikidata.org/wiki/Q5904738","display_name":"Slab","level":2,"score":0.4525411128997803},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4207548499107361},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4027926027774811},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.24385496973991394},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.130262553691864},{"id":"https://openalex.org/C8058405","wikidata":"https://www.wikidata.org/wiki/Q46255","display_name":"Geophysics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/cmam-2023-0090","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2023-0090","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2023-0090/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:openaire/fb4ea350-80e6-42b5-947a-ce9b8cb0aa9f","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/fb4ea350-80e6-42b5-947a-ce9b8cb0aa9f","pdf_url":"https://ris.utwente.nl/ws/files/354828493/10.1515_cmam-2023-0090.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Schlottbom, M, Palii, O, Bertrand, F & Bardin, R 2024, 'A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry', Computational Methods in Applied Mathematics, vol. 24, no. 3, pp. 557-576. https://doi.org/10.1515/cmam-2023-0090","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1515/cmam-2023-0090","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2023-0090","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2023-0090/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G2791411732","display_name":null,"funder_award_id":"OCENW.KLEIN.183","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391954805.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W6923064","https://openalex.org/W55019828","https://openalex.org/W253824085","https://openalex.org/W417900231","https://openalex.org/W628726389","https://openalex.org/W1131214893","https://openalex.org/W1828180768","https://openalex.org/W1966021993","https://openalex.org/W1968183962","https://openalex.org/W1991960225","https://openalex.org/W1992066344","https://openalex.org/W1999833233","https://openalex.org/W2035312296","https://openalex.org/W2039924562","https://openalex.org/W2042112467","https://openalex.org/W2044892973","https://openalex.org/W2066927514","https://openalex.org/W2082741499","https://openalex.org/W2095092117","https://openalex.org/W2096217311","https://openalex.org/W2096501338","https://openalex.org/W2102096503","https://openalex.org/W2125308746","https://openalex.org/W2128755307","https://openalex.org/W2130350269","https://openalex.org/W2131992485","https://openalex.org/W2145836215","https://openalex.org/W2148781997","https://openalex.org/W2151317423","https://openalex.org/W2152012954","https://openalex.org/W2243835919","https://openalex.org/W2498100718","https://openalex.org/W2505585705","https://openalex.org/W2783254143","https://openalex.org/W2907152078","https://openalex.org/W2990455384","https://openalex.org/W3008277839","https://openalex.org/W3089229167","https://openalex.org/W3181886927","https://openalex.org/W3204708751","https://openalex.org/W4240981331","https://openalex.org/W4292475691","https://openalex.org/W6929238152"],"related_works":["https://openalex.org/W2381438901","https://openalex.org/W2352380072","https://openalex.org/W2006251942","https://openalex.org/W2349064774","https://openalex.org/W2262824164","https://openalex.org/W2370986896","https://openalex.org/W2055696851","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":{"Abstract":[0],"We":[1,84],"derive":[2],"and":[3,48,72,92],"analyze":[4],"a":[5],"symmetric":[6],"interior":[7],"penalty":[8],"discontinuous":[9,82],"Galerkin":[10],"scheme":[11],"for":[12,38,55,67],"the":[13,16,20,31,46,51,86],"approximation":[14],"of":[15,19,50,88],"second-order":[17],"form":[18],"radiative":[21],"transfer":[22],"equation":[23],"in":[24,70],"slab":[25],"geometry.":[26],"Using":[27],"appropriate":[28],"trace":[29],"lemmas,":[30],"analysis":[32],"can":[33,79],"be":[34],"carried":[35],"out":[36],"as":[37],"more":[39],"standard":[40],"elliptic":[41],"problems.":[42],"Supporting":[43],"examples":[44],"show":[45,74],"accuracy":[47],"stability":[49],"method":[52],"also":[53],"numerically,":[54],"different":[56],"polynomial":[57],"degrees.":[58],"For":[59],"discretization,":[60],"we":[61,73],"employ":[62],"quad-tree":[63],"grids,":[64],"which":[65],"allow":[66],"local":[68,97],"refinement":[69],"phase-space,":[71],"exemplary":[75],"that":[76],"adaptive":[77],"methods":[78],"efficiently":[80],"approximate":[81],"solutions.":[83],"investigate":[85],"behavior":[87],"hierarchical":[89],"error":[90,93],"estimators":[91,94],"based":[95],"on":[96],"averaging.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-21T23:30:37.877113","created_date":"2025-10-10T00:00:00"}
