{"id":"https://openalex.org/W2075865464","doi":"https://doi.org/10.1016/j.camwa.2013.07.016","title":"Automatically stable discontinuous Petrov\u2013Galerkin methods for stationary transport problems: Quasi-optimal test space norm","display_name":"Automatically stable discontinuous Petrov\u2013Galerkin methods for stationary transport problems: Quasi-optimal test space norm","publication_year":2013,"publication_date":"2013-09-24","ids":{"openalex":"https://openalex.org/W2075865464","doi":"https://doi.org/10.1016/j.camwa.2013.07.016","mag":"2075865464"},"language":"en","primary_location":{"id":"doi:10.1016/j.camwa.2013.07.016","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2013.07.016","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0898122113004446/pdf","source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0898122113004446/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037371679","display_name":"Antti H. Niemi","orcid":"https://orcid.org/0000-0002-4007-7147"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Antti H. Niemi","raw_affiliation_strings":["Aalto University, School of Engineering, Department of Civil and Structural Engineering, Espoo, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aalto University, School of Engineering, Department of Civil and Structural Engineering, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011118627","display_name":"Nathaniel O. Collier","orcid":null},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Nathaniel O. Collier","raw_affiliation_strings":["King Abdullah University of Science and Technology (KAUST), Center for Numerical Porous Media, Thuwal, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"King Abdullah University of Science and Technology (KAUST), Center for Numerical Porous Media, Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024876563","display_name":"Victor M. Calo","orcid":"https://orcid.org/0000-0002-1805-4045"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Victor M. Calo","raw_affiliation_strings":["King Abdullah University of Science and Technology (KAUST), Center for Numerical Porous Media, Thuwal, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"King Abdullah University of Science and Technology (KAUST), Center for Numerical Porous Media, Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037371679"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":{"value":3170,"currency":"USD","value_usd":3170},"apc_paid":null,"fwci":2.205,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.86634595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"66","issue":"10","first_page":"2096","last_page":"2113"},"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":0.9993000030517578,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9958000183105469,"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/petrov\u2013galerkin-method","display_name":"Petrov\u2013Galerkin method","score":0.8276894688606262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7843002080917358},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6752582788467407},{"id":"https://openalex.org/keywords/dual-norm","display_name":"Dual norm","score":0.5890505313873291},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5267956852912903},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.47739261388778687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40816158056259155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37875548005104065},{"id":"https://openalex.org/keywords/normed-vector-space","display_name":"Normed vector space","score":0.06690412759780884}],"concepts":[{"id":"https://openalex.org/C2778540877","wikidata":"https://www.wikidata.org/wiki/Q7179155","display_name":"Petrov\u2013Galerkin method","level":3,"score":0.8276894688606262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7843002080917358},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6752582788467407},{"id":"https://openalex.org/C100022809","wikidata":"https://www.wikidata.org/wiki/Q5310221","display_name":"Dual norm","level":3,"score":0.5890505313873291},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5267956852912903},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.47739261388778687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40816158056259155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37875548005104065},{"id":"https://openalex.org/C171739935","wikidata":"https://www.wikidata.org/wiki/Q726210","display_name":"Normed vector space","level":2,"score":0.06690412759780884},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.camwa.2013.07.016","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2013.07.016","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0898122113004446/pdf","source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.2812","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.2812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1201.1847.pdf","raw_type":"text"},{"id":"pmh:oai:espace.curtin.edu.au:20.500.11937/51474","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11937/51474","pdf_url":null,"source":{"id":"https://openalex.org/S4306401790","display_name":"eSpace (Curtin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205640436","host_organization_name":"Curtin University","host_organization_lineage":["https://openalex.org/I205640436"],"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":"Journal Article"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/564820","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/564820","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"doi:10.1016/j.camwa.2013.07.016","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2013.07.016","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0898122113004446/pdf","source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2075865464.pdf","grobid_xml":"https://content.openalex.org/works/W2075865464.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W400137920","https://openalex.org/W1499647280","https://openalex.org/W1513593694","https://openalex.org/W1591608973","https://openalex.org/W1708679080","https://openalex.org/W1963659668","https://openalex.org/W1973595837","https://openalex.org/W1975941099","https://openalex.org/W1976385614","https://openalex.org/W1987753196","https://openalex.org/W1989445786","https://openalex.org/W1998622468","https://openalex.org/W2000425991","https://openalex.org/W2007322777","https://openalex.org/W2010797123","https://openalex.org/W2012071009","https://openalex.org/W2015148405","https://openalex.org/W2017571276","https://openalex.org/W2025882116","https://openalex.org/W2031978570","https://openalex.org/W2037764660","https://openalex.org/W2045208428","https://openalex.org/W2047441604","https://openalex.org/W2047724306","https://openalex.org/W2048113184","https://openalex.org/W2053005517","https://openalex.org/W2055767533","https://openalex.org/W2060065779","https://openalex.org/W2063665081","https://openalex.org/W2064105453","https://openalex.org/W2065438814","https://openalex.org/W2068085190","https://openalex.org/W2071289502","https://openalex.org/W2072236487","https://openalex.org/W2073897969","https://openalex.org/W2074769980","https://openalex.org/W2076982741","https://openalex.org/W2081731767","https://openalex.org/W2082693172","https://openalex.org/W2086298877","https://openalex.org/W2094234497","https://openalex.org/W2125529818","https://openalex.org/W2134350470","https://openalex.org/W2144502017","https://openalex.org/W2148598908","https://openalex.org/W2158928686","https://openalex.org/W2250850254","https://openalex.org/W2495211843","https://openalex.org/W2587288333","https://openalex.org/W4234587664","https://openalex.org/W4236548481","https://openalex.org/W4256651668","https://openalex.org/W6630010987"],"related_works":["https://openalex.org/W2147619060","https://openalex.org/W2910693632","https://openalex.org/W4366768782","https://openalex.org/W2374649169","https://openalex.org/W2023111059","https://openalex.org/W4388009873","https://openalex.org/W4386890267","https://openalex.org/W2392085432","https://openalex.org/W1932647057","https://openalex.org/W2028999494"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2013,"cited_by_count":4}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}