{"id":"https://openalex.org/W3012798775","doi":"https://doi.org/10.1007/s10444-021-09846-x","title":"A generalised complete flux scheme for anisotropic advection-diffusion equations","display_name":"A generalised complete flux scheme for anisotropic advection-diffusion equations","publication_year":2021,"publication_date":"2021-02-16","ids":{"openalex":"https://openalex.org/W3012798775","doi":"https://doi.org/10.1007/s10444-021-09846-x","mag":"3012798775"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-021-09846-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-021-09846-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-021-09846-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10444-021-09846-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hanz Martin Cheng","orcid":"https://orcid.org/0000-0002-2481-4995"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Hanz Martin Cheng","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-2481-4995","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jan ten Thije Boonkkamp","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jan ten Thije Boonkkamp","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.7129,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.63459729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"47","issue":"2","first_page":null,"last_page":null},"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":0.8391000032424927,"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":0.8391000032424927,"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":0.04769999906420708,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.015399999916553497,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8276000022888184},{"id":"https://openalex.org/keywords/flux","display_name":"Flux (metallurgy)","score":0.6676999926567078},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.6559000015258789},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6377000212669373},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.5835000276565552},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5562999844551086},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5478000044822693},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4952000081539154}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8276000022888184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6692000031471252},{"id":"https://openalex.org/C68709404","wikidata":"https://www.wikidata.org/wiki/Q1134475","display_name":"Flux (metallurgy)","level":2,"score":0.6676999926567078},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.6559000015258789},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6377000212669373},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.5835000276565552},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5562999844551086},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5478000044822693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5365999937057495},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4952000081539154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48240000009536743},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4796000123023987},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3346000015735626},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3190000057220459},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.3095000088214874},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.26429998874664307},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.2639999985694885},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.2531000077724457}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10444-021-09846-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-021-09846-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-021-09846-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire/69967b76-c03b-42e5-ac3e-2dfc11862a2e","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/69967b76-c03b-42e5-ac3e-2dfc11862a2e","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cheng, H M & ten Thije Boonkkamp, J 2021, 'A generalised complete flux scheme for anisotropic advection-diffusion equations', Advances in Computational Mathematics, vol. 47, 19. https://doi.org/10.1007/s10444-021-09846-x","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2003.10179","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.10179","pdf_url":"https://arxiv.org/pdf/2003.10179","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":"pmh:oai:pure.tue.nl:publications/69967b76-c03b-42e5-ac3e-2dfc11862a2e","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85100938036&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cheng, H M & ten Thije Boonkkamp, J 2021, 'A generalised complete flux scheme for anisotropic advection-diffusion equations', Advances in Computational Mathematics, vol. 47, 19. https://doi.org/10.1007/s10444-021-09846-x","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:tue:oai:pure.tue.nl:publications/69967b76-c03b-42e5-ac3e-2dfc11862a2e","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/69967b76-c03b-42e5-ac3e-2dfc11862a2e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Computational Mathematics, 47:19. Springer","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10444-021-09846-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-021-09846-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-021-09846-x.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3012798775.pdf","grobid_xml":"https://content.openalex.org/works/W3012798775.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1849648059","https://openalex.org/W1987185675","https://openalex.org/W2000318041","https://openalex.org/W2010507423","https://openalex.org/W2010507695","https://openalex.org/W2031441801","https://openalex.org/W2042387166","https://openalex.org/W2052046272","https://openalex.org/W2055871507","https://openalex.org/W2057199138","https://openalex.org/W2065725998","https://openalex.org/W2081622703","https://openalex.org/W2083382567","https://openalex.org/W2086501907","https://openalex.org/W2113332546","https://openalex.org/W2126086928","https://openalex.org/W2156701719","https://openalex.org/W2160371845","https://openalex.org/W2491027544","https://openalex.org/W2577984432","https://openalex.org/W2618750516","https://openalex.org/W6605422647"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1,38],"this":[2],"paper,":[3],"we":[4,40],"consider":[5],"separating":[6],"the":[7,10,16,22,29,33,42,45,52,59,83,90,99],"discretisation":[8,26],"of":[9,24,44,61,63,68,92],"diffusive":[11],"and":[12,51],"advective":[13],"fluxes":[14],"in":[15,55],"complete":[17,34],"flux":[18,31,35],"scheme.":[19],"This":[20],"allows":[21,70],"combination":[23,43],"several":[25],"methods":[27],"for":[28,89],"homogeneous":[30],"with":[32],"(CF)":[36],"method.":[37],"particular,":[39],"explore":[41],"hybrid":[46],"mimetic":[47],"mixed":[48],"(HMM)":[49],"method":[50,85],"CF":[53,84],"method,":[54,96],"order":[56],"to":[57,72],"utilise":[58],"advantages":[60],"each":[62],"these":[64],"methods.":[65],"The":[66],"usage":[67],"HMM":[69],"us":[71],"handle":[73],"anisotropic":[74],"diffusion":[75],"tensors":[76],"on":[77],"generic":[78],"polygonal":[79],"(polytopal)":[80],"grids,":[81],"whereas":[82],"provides":[86],"a":[87,93],"framework":[88],"construction":[91],"uniformly":[94],"second-order":[95],"even":[97],"when":[98],"problem":[100],"is":[101],"advection":[102],"dominated.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2020-03-27T00:00:00"}