{"id":"https://openalex.org/W4386593731","doi":"https://doi.org/10.1007/s10915-024-02609-y","title":"Convergence Analysis for the Wave Equation Discretized with Hybrid Methods in Space (HHO, HDG and WG) and the Leapfrog Scheme in Time","display_name":"Convergence Analysis for the Wave Equation Discretized with Hybrid Methods in Space (HHO, HDG and WG) and the Leapfrog Scheme in Time","publication_year":2024,"publication_date":"2024-08-13","ids":{"openalex":"https://openalex.org/W4386593731","doi":"https://doi.org/10.1007/s10915-024-02609-y"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-024-02609-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-024-02609-y","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-04200966/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061539614","display_name":"Alexandre Ern","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alexandre Ern","raw_affiliation_strings":["CERMICS, Ecole des Ponts, Champs-sur-Marne, 77455, Marne-la-Vallee Cedex 2, France","INRIA Paris, 75589, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CERMICS, Ecole des Ponts, Champs-sur-Marne, 77455, Marne-la-Vallee Cedex 2, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]},{"raw_affiliation_string":"INRIA Paris, 75589, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076428439","display_name":"Morgane Steins","orcid":"https://orcid.org/0000-0002-3938-5265"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Morgane Steins","raw_affiliation_strings":["CERMICS, Ecole des Ponts, Champs-sur-Marne, 77455, Marne-la-Vallee Cedex 2, France","INRIA Paris, 75589, Paris, France","Universit\u00e9 Paris-Saclay, CEA, Service d\u2019\u00e9tudes m\u00e9caniques et thermiques, 91191, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CERMICS, Ecole des Ponts, Champs-sur-Marne, 77455, Marne-la-Vallee Cedex 2, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]},{"raw_affiliation_string":"INRIA Paris, 75589, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CEA, Service d\u2019\u00e9tudes m\u00e9caniques et thermiques, 91191, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I2738703131","https://openalex.org/I4210128565"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061539614"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142631665","https://openalex.org/I4210128309"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8364,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84649423,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"101","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9990000128746033,"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/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8402054309844971},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8049957156181335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7737154960632324},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5769961476325989},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5270381569862366},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5127226114273071},{"id":"https://openalex.org/keywords/space-time","display_name":"Space time","score":0.4897317886352539},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4732140600681305},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4614613652229309},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4508058428764343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.446514755487442},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14844071865081787},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07336705923080444}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8402054309844971},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8049957156181335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7737154960632324},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5769961476325989},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5270381569862366},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5127226114273071},{"id":"https://openalex.org/C96402334","wikidata":"https://www.wikidata.org/wiki/Q3030793","display_name":"Space time","level":2,"score":0.4897317886352539},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4732140600681305},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4614613652229309},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4508058428764343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.446514755487442},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14844071865081787},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07336705923080444},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-024-02609-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-024-02609-y","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:HAL:hal-04200966v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04200966","pdf_url":"https://hal.science/hal-04200966/document","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":"https://hal.science/hal-04200966","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04200966v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04200966","pdf_url":"https://hal.science/hal-04200966/document","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":"https://hal.science/hal-04200966","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386593731.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W628726389","https://openalex.org/W1009522003","https://openalex.org/W1834161719","https://openalex.org/W1935825599","https://openalex.org/W1982576260","https://openalex.org/W2011828708","https://openalex.org/W2026480926","https://openalex.org/W2030213082","https://openalex.org/W2049467895","https://openalex.org/W2053924900","https://openalex.org/W2062089614","https://openalex.org/W2087705056","https://openalex.org/W2104724067","https://openalex.org/W2116404756","https://openalex.org/W2206365535","https://openalex.org/W2209133793","https://openalex.org/W2220250944","https://openalex.org/W2592476237","https://openalex.org/W2731336647","https://openalex.org/W2753557098","https://openalex.org/W2754437144","https://openalex.org/W2756023633","https://openalex.org/W2794515761","https://openalex.org/W2883313970","https://openalex.org/W2950034650","https://openalex.org/W3081875828","https://openalex.org/W3082260643","https://openalex.org/W3099505830","https://openalex.org/W3142231631","https://openalex.org/W3157145968","https://openalex.org/W3166566320","https://openalex.org/W3195319446","https://openalex.org/W3209625832","https://openalex.org/W4206144447","https://openalex.org/W4237196420","https://openalex.org/W4307042496","https://openalex.org/W4318320513"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W2055696851","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2122743445","https://openalex.org/W2887215440","https://openalex.org/W2981222881","https://openalex.org/W2558424905","https://openalex.org/W4288091743"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7}],"updated_date":"2026-06-18T10:00:31.954636","created_date":"2025-10-10T00:00:00"}