{"id":"https://openalex.org/W3150832514","doi":"https://doi.org/10.1007/s10915-021-01632-7","title":"Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping","display_name":"Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping","publication_year":2021,"publication_date":"2021-09-21","ids":{"openalex":"https://openalex.org/W3150832514","doi":"https://doi.org/10.1007/s10915-021-01632-7","mag":"3150832514"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01632-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01632-7","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.16158v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068761188","display_name":"Sixtine Michel","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131512","display_name":"Centre Inria de l'universit\u00e9 de Bordeaux","ror":"https://ror.org/03tjcj052","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210131512"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sixtine Michel","raw_affiliation_strings":["Team CARDAMOM, Inria Bordeaux sud-ouest, 200 av. de la vieille tour, 33405, Talence, France","Team CARDAMOM, Inria Bordeaux sud-ouest, Talence, France"],"affiliations":[{"raw_affiliation_string":"Team CARDAMOM, Inria Bordeaux sud-ouest, 200 av. de la vieille tour, 33405, Talence, France","institution_ids":[]},{"raw_affiliation_string":"Team CARDAMOM, Inria Bordeaux sud-ouest, Talence, France","institution_ids":["https://openalex.org/I4210131512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001096885","display_name":"Davide Torlo","orcid":"https://orcid.org/0000-0001-5106-1629"},"institutions":[{"id":"https://openalex.org/I4210131512","display_name":"Centre Inria de l'universit\u00e9 de Bordeaux","ror":"https://ror.org/03tjcj052","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210131512"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Davide Torlo","raw_affiliation_strings":["Team CARDAMOM, Inria Bordeaux sud-ouest, 200 av. de la vieille tour, 33405, Talence, France","Team CARDAMOM, Inria Bordeaux sud-ouest, Talence, France"],"affiliations":[{"raw_affiliation_string":"Team CARDAMOM, Inria Bordeaux sud-ouest, 200 av. de la vieille tour, 33405, Talence, France","institution_ids":[]},{"raw_affiliation_string":"Team CARDAMOM, Inria Bordeaux sud-ouest, Talence, France","institution_ids":["https://openalex.org/I4210131512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082027942","display_name":"Mario Ricchiuto","orcid":"https://orcid.org/0000-0002-1679-7339"},"institutions":[{"id":"https://openalex.org/I4210131512","display_name":"Centre Inria de l'universit\u00e9 de Bordeaux","ror":"https://ror.org/03tjcj052","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210131512"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mario Ricchiuto","raw_affiliation_strings":["Team CARDAMOM, Inria Bordeaux sud-ouest, 200 av. de la vieille tour, 33405, Talence, France","Team CARDAMOM, Inria Bordeaux sud-ouest, Talence, France"],"affiliations":[{"raw_affiliation_string":"Team CARDAMOM, Inria Bordeaux sud-ouest, 200 av. de la vieille tour, 33405, Talence, France","institution_ids":[]},{"raw_affiliation_string":"Team CARDAMOM, Inria Bordeaux sud-ouest, Talence, France","institution_ids":["https://openalex.org/I4210131512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024564342","display_name":"R\u00e9mi Abgrall","orcid":"https://orcid.org/0000-0002-5553-7476"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R\u00e9mi Abgrall","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Winterthurstrasse 190, 8057, Zurich, Switzerland","Institut f\u00fcr Mathematik, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Winterthurstrasse 190, 8057, Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Zurich, Switzerland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068761188"],"corresponding_institution_ids":["https://openalex.org/I4210131512"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3119,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50604027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"89","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6917422413825989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6604506373405457},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6142898201942444},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5576310157775879},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5440411567687988},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.4945795238018036},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4853717088699341},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4486595690250397},{"id":"https://openalex.org/keywords/mass-matrix","display_name":"Mass matrix","score":0.43967005610466003},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4355055093765259},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.4197095036506653},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.41798773407936096},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34969472885131836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1824595034122467},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11836490035057068},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.11071270704269409}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6917422413825989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6604506373405457},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6142898201942444},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5576310157775879},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5440411567687988},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4945795238018036},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4853717088699341},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4486595690250397},{"id":"https://openalex.org/C135585149","wikidata":"https://www.wikidata.org/wiki/Q339704","display_name":"Mass matrix","level":3,"score":0.43967005610466003},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4355055093765259},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.4197095036506653},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.41798773407936096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34969472885131836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1824595034122467},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11836490035057068},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.11071270704269409},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.0},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s10915-021-01632-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01632-7","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:www.zora.uzh.ch:208665","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401281","display_name":"Zurich Open Repository and Archive (University of Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I202697423","host_organization_name":"University of Zurich","host_organization_lineage":["https://openalex.org/I202697423"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Michel, Sixtine; Torlo, Davide; Ricchiuto, Mario; Abgrall, Remi  (2021). Spectral analysis of continuous FEM for hyperbolic PDEs: Influence of approximation, stabilization, and time-stepping.  Journal of Scientific Computing, 89(2):31.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"mag:3150832514","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.16158v1","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03508353v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03508353","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Journal of Scientific Computing, 2021, 89 (2), ⟨10.1007/s10915-021-01632-7⟩","raw_type":"Journal articles"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/191299","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/191299","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"doi:10.48550/arxiv.2103.16158","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.16158","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5167/uzh-208665","is_oa":true,"landing_page_url":"https://doi.org/10.5167/uzh-208665","pdf_url":null,"source":{"id":"https://openalex.org/S7407051291","display_name":"Universit\u00e4t Z\u00fcrich, ZORA","issn_l":null,"issn":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"mag:3150832514","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.16158v1","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1493698815","https://openalex.org/W1585098889","https://openalex.org/W1965490868","https://openalex.org/W1970213140","https://openalex.org/W1972368368","https://openalex.org/W1973481688","https://openalex.org/W2006587120","https://openalex.org/W2008560581","https://openalex.org/W2012071009","https://openalex.org/W2014282047","https://openalex.org/W2027956662","https://openalex.org/W2030213082","https://openalex.org/W2032716933","https://openalex.org/W2039661575","https://openalex.org/W2046899724","https://openalex.org/W2050428953","https://openalex.org/W2068702190","https://openalex.org/W2073897969","https://openalex.org/W2077661108","https://openalex.org/W2091354775","https://openalex.org/W2091914394","https://openalex.org/W2104724067","https://openalex.org/W2107727246","https://openalex.org/W2128924369","https://openalex.org/W2132133111","https://openalex.org/W2139494815","https://openalex.org/W2152512756","https://openalex.org/W2158856246","https://openalex.org/W2174807904","https://openalex.org/W2230806989","https://openalex.org/W2587734875","https://openalex.org/W2612906558","https://openalex.org/W2739470739","https://openalex.org/W2768176009","https://openalex.org/W2897610534","https://openalex.org/W2900682338","https://openalex.org/W2945798956","https://openalex.org/W2963134571","https://openalex.org/W2963700786","https://openalex.org/W2986065419","https://openalex.org/W2996615006","https://openalex.org/W3003257820","https://openalex.org/W3010292040","https://openalex.org/W3013974629","https://openalex.org/W3095903795","https://openalex.org/W3118933647","https://openalex.org/W3129413417","https://openalex.org/W3155319285","https://openalex.org/W6922867707"],"related_works":["https://openalex.org/W1981935248","https://openalex.org/W3120594415","https://openalex.org/W2951173097","https://openalex.org/W2789108710","https://openalex.org/W2979574547","https://openalex.org/W1989465856","https://openalex.org/W1967857696","https://openalex.org/W2952950944","https://openalex.org/W2060329603","https://openalex.org/W2962930931","https://openalex.org/W2088914151","https://openalex.org/W2336524022","https://openalex.org/W3205918167","https://openalex.org/W2068217856","https://openalex.org/W2806405887","https://openalex.org/W3210256976","https://openalex.org/W3150548604","https://openalex.org/W2803792988","https://openalex.org/W2027023564","https://openalex.org/W263336006"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}