{"id":"https://openalex.org/W2142913417","doi":"https://doi.org/10.1007/s10915-007-9156-6","title":"Dispersion Analysis of Discontinuous Galerkin Schemes Applied to Poincar\u00e9, Kelvin and Rossby Waves","display_name":"Dispersion Analysis of Discontinuous Galerkin Schemes Applied to Poincar\u00e9, Kelvin and Rossby Waves","publication_year":2007,"publication_date":"2007-09-24","ids":{"openalex":"https://openalex.org/W2142913417","doi":"https://doi.org/10.1007/s10915-007-9156-6","mag":"2142913417"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-007-9156-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-007-9156-6","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":"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/A5019486669","display_name":"Paul-\u00c9mile Bernard","orcid":null},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"P.-E. Bernard","raw_affiliation_strings":["Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Avenue Georges Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Avenue Georges Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002468134","display_name":"\u00c9ric Deleersnijder","orcid":"https://orcid.org/0000-0003-0346-9667"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"E. Deleersnijder","raw_affiliation_strings":["Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Avenue Georges Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","Institut d\u2019Astronomie et de G\u00e9ophysique Georges Lema\u00eetre, Universit\u00e9 Catholique de Louvain, Chemin du cyclotron 2, 1348, Louvain-la-Neuve, Belgium","Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","Institut d\u2019Astronomie et de G\u00e9ophysique Georges Lema\u00eetre, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Avenue Georges Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Institut d\u2019Astronomie et de G\u00e9ophysique Georges Lema\u00eetre, Universit\u00e9 Catholique de Louvain, Chemin du cyclotron 2, 1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Institut d\u2019Astronomie et de G\u00e9ophysique Georges Lema\u00eetre, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053989644","display_name":"Vincent Legat","orcid":"https://orcid.org/0000-0002-1152-944X"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"V. Legat","raw_affiliation_strings":["Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Avenue Georges Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Avenue Georges Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008196958","display_name":"Jean\u2010Fran\u00e7ois Remacle","orcid":"https://orcid.org/0000-0002-4798-6458"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"J.-F. Remacle","raw_affiliation_strings":["Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Avenue Georges Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","Department of Civil Engineering, Universit\u00e9 Catholique de Louvain, Place du Levant 1, 1348, Louvain-la-Neuve, Belgium","Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","Department of Civil Engineering, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Avenue Georges Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Department of Civil Engineering, Universit\u00e9 Catholique de Louvain, Place du Levant 1, 1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Center for Systems Engineering and Applied Mechanics (CESAME), Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Department of Civil Engineering, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5019486669"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.865,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.93215143,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"34","issue":"1","first_page":"26","last_page":"47"},"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":0.9994999766349792,"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"}},"topics":[{"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":0.9991000294685364,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9937000274658203,"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/mathematics","display_name":"Mathematics","score":0.7279947400093079},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6529319882392883},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6336183547973633},{"id":"https://openalex.org/keywords/dispersion-relation","display_name":"Dispersion relation","score":0.5809088945388794},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.578813910484314},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.5599958300590515},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.520405650138855},{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.46581199765205383},{"id":"https://openalex.org/keywords/dispersion","display_name":"Dispersion (optics)","score":0.4598598778247833},{"id":"https://openalex.org/keywords/rossby-wave","display_name":"Rossby wave","score":0.4432826638221741},{"id":"https://openalex.org/keywords/rossby-number","display_name":"Rossby number","score":0.4295658469200134},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.42954176664352417},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.4285168945789337},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.42246416211128235},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3075675964355469},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.22453629970550537},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.20811951160430908},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.19532519578933716},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11316218972206116}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7279947400093079},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6529319882392883},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6336183547973633},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.5809088945388794},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.578813910484314},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5599958300590515},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.520405650138855},{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.46581199765205383},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.4598598778247833},{"id":"https://openalex.org/C145151356","wikidata":"https://www.wikidata.org/wiki/Q1053589","display_name":"Rossby wave","level":2,"score":0.4432826638221741},{"id":"https://openalex.org/C42652486","wikidata":"https://www.wikidata.org/wiki/Q676622","display_name":"Rossby number","level":3,"score":0.4295658469200134},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.42954176664352417},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.4285168945789337},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.42246416211128235},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3075675964355469},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.22453629970550537},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.20811951160430908},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.19532519578933716},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11316218972206116},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C91586092","wikidata":"https://www.wikidata.org/wiki/Q757520","display_name":"Atmospheric sciences","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10915-007-9156-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-007-9156-6","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:CiteSeerX.psu:10.1.1.483.1433","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.1433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso.uclouvain.be/vincent.legat/papers/2008-BernardLegatDeleersnijderRemacle.pdf","raw_type":"text"},{"id":"pmh:oai:dial.uclouvain.be:boreal:36918","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/36918","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, Vol. 34, no. 1, p. 26-47 (2008)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"},{"id":"https://openalex.org/F4320321584","display_name":"F\u00e9d\u00e9ration Wallonie-Bruxelles","ror":"https://ror.org/04q01pf08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W570977054","https://openalex.org/W1551275512","https://openalex.org/W1572413092","https://openalex.org/W1624046616","https://openalex.org/W1720003902","https://openalex.org/W1758643046","https://openalex.org/W1965124134","https://openalex.org/W1976538983","https://openalex.org/W1991452709","https://openalex.org/W1992123918","https://openalex.org/W2001149830","https://openalex.org/W2002083525","https://openalex.org/W2010776282","https://openalex.org/W2017916679","https://openalex.org/W2033071252","https://openalex.org/W2033475641","https://openalex.org/W2037092148","https://openalex.org/W2043742248","https://openalex.org/W2059017100","https://openalex.org/W2071897054","https://openalex.org/W2079263908","https://openalex.org/W2080997524","https://openalex.org/W2085152406","https://openalex.org/W2086823102","https://openalex.org/W2118341834","https://openalex.org/W2327777426","https://openalex.org/W4214751139","https://openalex.org/W4229965994"],"related_works":["https://openalex.org/W2019032602","https://openalex.org/W3199641408","https://openalex.org/W2597229022","https://openalex.org/W2947552135","https://openalex.org/W2014920306","https://openalex.org/W1982175859","https://openalex.org/W2984453791","https://openalex.org/W2788781272","https://openalex.org/W2474544633","https://openalex.org/W2589389276"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
