{"id":"https://openalex.org/W3214556738","doi":"https://doi.org/10.1007/s00211-021-01247-y","title":"A matrix-theoretic spectral analysis of incompressible Navier\u2013Stokes staggered DG approximations and a related spectrally based preconditioning approach","display_name":"A matrix-theoretic spectral analysis of incompressible Navier\u2013Stokes staggered DG approximations and a related spectrally based preconditioning approach","publication_year":2021,"publication_date":"2021-11-15","ids":{"openalex":"https://openalex.org/W3214556738","doi":"https://doi.org/10.1007/s00211-021-01247-y","mag":"3214556738"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-021-01247-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-021-01247-y","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/A5022749162","display_name":"Mariarosa Mazza","orcid":"https://orcid.org/0000-0002-8505-6788"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Mazza","raw_affiliation_strings":["Dipartimento di Scienza Umane e dell\u2019Innovazione per il Territorio, Universit\u00e0 dell\u2019Insubria, Via Valleggio, 11, 22100, Como, Italy","Dipartimento di Scienza Umane e dell'Innovazione per il Territorio, Universit\u00e0 dell'Insubria, Via Valleggio, 11, 22100, Como, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienza Umane e dell\u2019Innovazione per il Territorio, Universit\u00e0 dell\u2019Insubria, Via Valleggio, 11, 22100, Como, Italy","institution_ids":["https://openalex.org/I115752224"]},{"raw_affiliation_string":"Dipartimento di Scienza Umane e dell'Innovazione per il Territorio, Universit\u00e0 dell'Insubria, Via Valleggio, 11, 22100, Como, Italy","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063991804","display_name":"Matteo Semplice","orcid":"https://orcid.org/0000-0002-2398-0828"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Semplice","raw_affiliation_strings":["Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell\u2019Insubria, Via C. Alberto, 8, Torino, Italy","Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell'Insubria, Via C. Alberto, 8, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell\u2019Insubria, Via C. Alberto, 8, Torino, Italy","institution_ids":["https://openalex.org/I115752224"]},{"raw_affiliation_string":"Dipartimento di Scienza e Alta Tecnologia, Universit\u00e0 dell'Insubria, Via C. Alberto, 8, Torino, Italy","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053268193","display_name":"Stefano Serra\u2010Capizzano","orcid":"https://orcid.org/0000-0001-9477-109X"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Serra-Capizzano","raw_affiliation_strings":["Dipartimento di Scienza Umane e dell\u2019Innovazione per il Territorio, Universit\u00e0 dell\u2019Insubria, Via Valleggio, 11, 22100, Como, Italy","Dipartimento di Scienza Umane e dell'Innovazione per il Territorio, Universit\u00e0 dell'Insubria, Via Valleggio, 11, 22100, Como, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienza Umane e dell\u2019Innovazione per il Territorio, Universit\u00e0 dell\u2019Insubria, Via Valleggio, 11, 22100, Como, Italy","institution_ids":["https://openalex.org/I115752224"]},{"raw_affiliation_string":"Dipartimento di Scienza Umane e dell'Innovazione per il Territorio, Universit\u00e0 dell'Insubria, Via Valleggio, 11, 22100, Como, Italy","institution_ids":["https://openalex.org/I115752224"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022277908","display_name":"E. Travaglia","orcid":"https://orcid.org/0000-0002-4936-4353"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"E. Travaglia","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Torino, Via C. Alberto, 8, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Torino, Via C. Alberto, 8, Torino, Italy","institution_ids":["https://openalex.org/I55143463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022277908"],"corresponding_institution_ids":["https://openalex.org/I55143463"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7087,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66928804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"149","issue":"4","first_page":"933","last_page":"971"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983999729156494,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9980999827384949,"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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.895484447479248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8178930282592773},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5919955372810364},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.520899772644043},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5050931572914124},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.489348828792572},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48229339718818665},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.48080721497535706},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.45837047696113586},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4543650448322296},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4003053903579712},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2653614282608032},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19859260320663452},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14029529690742493},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07067003846168518}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.895484447479248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8178930282592773},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5919955372810364},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.520899772644043},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5050931572914124},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.489348828792572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48229339718818665},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.48080721497535706},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.45837047696113586},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4543650448322296},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4003053903579712},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2653614282608032},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19859260320663452},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14029529690742493},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07067003846168518},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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":3,"locations":[{"id":"doi:10.1007/s00211-021-01247-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-021-01247-y","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:art.torvergata.it:2108/344045","is_oa":false,"landing_page_url":"https://hdl.handle.net/2108/344045","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/2120286","is_oa":false,"landing_page_url":"http://hdl.handle.net/11383/2120286","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","display_name":"Life below water","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W222841820","https://openalex.org/W605044866","https://openalex.org/W1087162733","https://openalex.org/W1511121222","https://openalex.org/W1569090332","https://openalex.org/W1965741417","https://openalex.org/W1969578814","https://openalex.org/W1970334228","https://openalex.org/W1980058119","https://openalex.org/W1986492828","https://openalex.org/W1994973976","https://openalex.org/W1998732934","https://openalex.org/W2005041367","https://openalex.org/W2015700994","https://openalex.org/W2031088298","https://openalex.org/W2055980435","https://openalex.org/W2058562801","https://openalex.org/W2066564452","https://openalex.org/W2066750794","https://openalex.org/W2089598668","https://openalex.org/W2093753671","https://openalex.org/W2098704097","https://openalex.org/W2102182691","https://openalex.org/W2109453208","https://openalex.org/W2130350269","https://openalex.org/W2134572726","https://openalex.org/W2145851836","https://openalex.org/W2279149549","https://openalex.org/W2417514618","https://openalex.org/W2442342200","https://openalex.org/W2521842478","https://openalex.org/W2569095678","https://openalex.org/W2613904156","https://openalex.org/W2616014174","https://openalex.org/W2763699499","https://openalex.org/W2770341777","https://openalex.org/W2789730805","https://openalex.org/W2794441023","https://openalex.org/W2882989027","https://openalex.org/W2891084953","https://openalex.org/W2905516468","https://openalex.org/W2949505377","https://openalex.org/W2963555938","https://openalex.org/W2976817015","https://openalex.org/W2989361214","https://openalex.org/W2998023265","https://openalex.org/W3010272412","https://openalex.org/W4230843528","https://openalex.org/W4237380063","https://openalex.org/W4242832160","https://openalex.org/W4256076666","https://openalex.org/W4256359184","https://openalex.org/W4285150684","https://openalex.org/W6600258945"],"related_works":["https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W1969863203","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1987843132","https://openalex.org/W4246602344","https://openalex.org/W2292863065","https://openalex.org/W2888482338"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2021-11-22T00:00:00"}