{"id":"https://openalex.org/W2236989882","doi":"https://doi.org/10.1007/s00211-015-0786-6","title":"Convergence of a numerical method for the compressible Navier\u2013Stokes system on general domains","display_name":"Convergence of a numerical method for the compressible Navier\u2013Stokes system on general domains","publication_year":2015,"publication_date":"2015-12-18","ids":{"openalex":"https://openalex.org/W2236989882","doi":"https://doi.org/10.1007/s00211-015-0786-6","mag":"2236989882"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-015-0786-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-015-0786-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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/A5074749816","display_name":"Eduard Feireisl","orcid":"https://orcid.org/0000-0002-3795-1315"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Eduard Feireisl","raw_affiliation_strings":["Institute of Mathematics of the Academy of Sciences of the Czech Republic, \u017ditn\u00e1 25, 115 67, Praha 1, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the Academy of Sciences of the Czech Republic, \u017ditn\u00e1 25, 115 67, Praha 1, Czech Republic","institution_ids":["https://openalex.org/I4210120266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060201059","display_name":"Trygve K. Karper","orcid":null},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Trygve Karper","raw_affiliation_strings":["Department of Mathematical Sciences, Norwegian University of Science and Technology, Alfred Getz vei 1, 7049, Trondheim, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Norwegian University of Science and Technology, Alfred Getz vei 1, 7049, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032894889","display_name":"Martin Mich\u00e1lek","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Martin Mich\u00e1lek","raw_affiliation_strings":["Institute of Mathematics of the Academy of Sciences of the Czech Republic, \u017ditn\u00e1 25, 115 67, Praha 1, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the Academy of Sciences of the Czech Republic, \u017ditn\u00e1 25, 115 67, Praha 1, Czech Republic","institution_ids":["https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074749816"],"corresponding_institution_ids":["https://openalex.org/I4210120266"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.6771,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89148534,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"134","issue":"4","first_page":"667","last_page":"704"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8155159950256348},{"id":"https://openalex.org/keywords/subsequence","display_name":"Subsequence","score":0.809076189994812},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6685001850128174},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6653442978858948},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6414968967437744},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6115691065788269},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.5400984287261963},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5100648999214172},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5067210793495178},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5025286674499512},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.48405900597572327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4583117663860321},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.4152787923812866},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1785459816455841},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09201610088348389},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.08659875392913818},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.07233399152755737},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06338822841644287}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8155159950256348},{"id":"https://openalex.org/C137877099","wikidata":"https://www.wikidata.org/wiki/Q1332977","display_name":"Subsequence","level":3,"score":0.809076189994812},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6685001850128174},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6653442978858948},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6414968967437744},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6115691065788269},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.5400984287261963},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5100648999214172},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5067210793495178},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5025286674499512},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.48405900597572327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4583117663860321},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.4152787923812866},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1785459816455841},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09201610088348389},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.08659875392913818},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.07233399152755737},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06338822841644287},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-015-0786-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-015-0786-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0464160","is_oa":false,"landing_page_url":"http://hdl.handle.net/11104/0263171","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W604491511","https://openalex.org/W653136046","https://openalex.org/W1520063341","https://openalex.org/W1852082788","https://openalex.org/W1967804648","https://openalex.org/W1969543804","https://openalex.org/W1985570191","https://openalex.org/W2018264669","https://openalex.org/W2020392194","https://openalex.org/W2068039185","https://openalex.org/W2082029579","https://openalex.org/W2103558875","https://openalex.org/W2103566196","https://openalex.org/W2136969171","https://openalex.org/W2147277530","https://openalex.org/W2588680835","https://openalex.org/W2592623476","https://openalex.org/W2963099921","https://openalex.org/W2964118263","https://openalex.org/W3023285721","https://openalex.org/W3099687355","https://openalex.org/W3112330256","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W2331934617","https://openalex.org/W43545294","https://openalex.org/W2995784041","https://openalex.org/W2072418144","https://openalex.org/W2011263852","https://openalex.org/W2963527449","https://openalex.org/W4319065824","https://openalex.org/W2620661725","https://openalex.org/W3149048665","https://openalex.org/W3047676097"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}