{"id":"https://openalex.org/W4379780987","doi":"https://doi.org/10.2139/ssrn.4473578","title":"Finite Element and Isogeometric Stabilized Methods for the Advection-Diffusion-Reaction Equation","display_name":"Finite Element and Isogeometric Stabilized Methods for the Advection-Diffusion-Reaction Equation","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4379780987","doi":"https://doi.org/10.2139/ssrn.4473578"},"language":"en","primary_location":{"id":"doi:10.2139/ssrn.4473578","doi":"https://doi.org/10.2139/ssrn.4473578","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.4473578","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2139/ssrn.4473578","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071296251","display_name":"Konstantin Key","orcid":"https://orcid.org/0009-0008-5263-5776","observed_orcids":["https://orcid.org/0009-0008-5263-5776"]},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Konstantin Key","raw_affiliation_strings":["TU Wien University","Vienna University of Technology","Vienna University of Technology, Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Wien University","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Vienna University of Technology","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Vienna University of Technology, Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020599060","display_name":"Michael Abdelmalik","orcid":"https://orcid.org/0000-0001-7373-5110","observed_orcids":["https://orcid.org/0000-0001-7373-5110"]},"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":"Michael Raouf Aziz Abdelmalik","raw_affiliation_strings":["Eindhoven University of Technology (TUE)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology (TUE)","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056001486","display_name":"Stefanie Elgeti","orcid":"https://orcid.org/0000-0002-4474-1666","observed_orcids":["https://orcid.org/0000-0002-4474-1666"]},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefanie Elgeti","raw_affiliation_strings":["TU Wien University","Vienna University of Technology","Vienna University of Technology, Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Wien University","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Vienna University of Technology","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Vienna University of Technology, Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031451887","display_name":"Thomas J.R. Hughes","orcid":"https://orcid.org/0000-0001-7024-8368","observed_orcids":["https://orcid.org/0000-0001-7024-8368","https://orcid.org/0009-0008-4299-5145"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas Hughes","raw_affiliation_strings":["Independent  - affiliation not provided to SSRN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent  - affiliation not provided to SSRN","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5092110873","display_name":"Frimpong A. Baidoo","orcid":"https://orcid.org/0009-0008-7022-783X","observed_orcids":["https://orcid.org/0009-0008-7022-783X"]},"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":"Frimpong Baidoo","raw_affiliation_strings":["Oden Institute for Computational Engineering and Sciences University of Texas","Oden Institute for Computational Engineering and Sciences University of Texas, Austin, TX, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oden Institute for Computational Engineering and Sciences University of Texas","institution_ids":[]},{"raw_affiliation_string":"Oden Institute for Computational Engineering and Sciences University of Texas, Austin, TX, United States","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020599060"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9887999892234802,"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":0.9887999892234802,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.009700000286102295,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.00039999998989515007,"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/advection-diffusion-reaction-equations","display_name":"convection-diffusion-reaction equations","score":0.9950000047683716},{"id":"https://openalex.org/keywords/stabilized-finite-element-method","display_name":"stabilized finite element method","score":0.9399999976158142},{"id":"https://openalex.org/keywords/isogeometric-analysis","display_name":"isogeometric analysis","score":0.972000002861023},{"id":"https://openalex.org/keywords/lagrange-finite-elements","display_name":"Lagrange finite elements","score":0.8820000290870667},{"id":"https://openalex.org/keywords/global-conservation","display_name":"global conservation","score":0.781000018119812},{"id":"https://openalex.org/keywords/coercivity","display_name":"coercivity","score":0.7820000052452087},{"id":"https://openalex.org/keywords/inf-sup-stability","display_name":"inf-sup stability","score":0.7730000019073486},{"id":"https://openalex.org/keywords/error-estimates","display_name":"error estimates","score":0.6819999814033508},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"boundary layer","score":0.8240000009536743},{"id":"https://openalex.org/keywords/oblique-boundary-conditions","display_name":"oblique boundary conditions","score":0.49900001287460327}],"concepts":[{"id":"https://openalex.org/C2780737243","wikidata":"https://www.wikidata.org/wiki/Q17082433","display_name":"Isogeometric analysis","level":3,"score":0.7324941158294678},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7295850515365601},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.680813729763031},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5131157040596008},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.507654070854187},{"id":"https://openalex.org/C3019693144","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Time stepping","level":3,"score":0.473898321390152},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.43755945563316345},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4161069393157959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4144873023033142},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3818938136100769},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3776155412197113},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3365194797515869},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30680444836616516},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.20767679810523987},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.09952765703201294},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05719074606895447}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2139/ssrn.4473578","doi":"https://doi.org/10.2139/ssrn.4473578","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.4473578","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.4473578","doi":"https://doi.org/10.2139/ssrn.4473578","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.4473578","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W2387016","https://openalex.org/W1964846831","https://openalex.org/W1994760284","https://openalex.org/W1995044934","https://openalex.org/W2009852560","https://openalex.org/W2011302814","https://openalex.org/W2030081022","https://openalex.org/W2032723682","https://openalex.org/W2061493157","https://openalex.org/W2062607539","https://openalex.org/W2062873232","https://openalex.org/W2073897969","https://openalex.org/W2074276935","https://openalex.org/W2075193414","https://openalex.org/W2083183178","https://openalex.org/W2125529818","https://openalex.org/W2131487992","https://openalex.org/W2164615940","https://openalex.org/W2166596736","https://openalex.org/W2745073160","https://openalex.org/W4236548481","https://openalex.org/W4391651868"],"related_works":["https://openalex.org/W2069058076","https://openalex.org/W2346766258","https://openalex.org/W1777516936","https://openalex.org/W2789960349","https://openalex.org/W2263132954","https://openalex.org/W2138735859","https://openalex.org/W2066042332","https://openalex.org/W2387016","https://openalex.org/W2011302814","https://openalex.org/W7095755166"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2023-06-09T00:00:00"}
