{"id":"https://openalex.org/W3042565054","doi":"https://doi.org/10.1137/20m1342471","title":"An H-Multigrid Method for Hybrid High-Order Discretizations","display_name":"An H-Multigrid Method for Hybrid High-Order Discretizations","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3042565054","doi":"https://doi.org/10.1137/20m1342471","mag":"3042565054"},"language":"en","primary_location":{"id":"doi:10.1137/20m1342471","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1342471","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-02434411","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037714004","display_name":"Daniele A. Di Pietro","orcid":"https://orcid.org/0000-0003-0959-8830"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniele A. Di Pietro","raw_affiliation_strings":["IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)"],"raw_orcid":"https://orcid.org/0000-0003-0959-8830","affiliations":[{"raw_affiliation_string":"IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107300509","display_name":"Frank H\u00fclsemann","orcid":"https://orcid.org/0000-0001-5736-4532"},"institutions":[{"id":"https://openalex.org/I4210143116","display_name":"\u00c9lectricit\u00e9 de France (France)","ror":"https://ror.org/03wb8xz10","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210143116"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Frank H\u00fclsemann","raw_affiliation_strings":["EDF R&D - EDF R&D (France)"],"raw_orcid":"https://orcid.org/0000-0001-5736-4532","affiliations":[{"raw_affiliation_string":"EDF R&D - EDF R&D (France)","institution_ids":["https://openalex.org/I4210143116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086159840","display_name":"Pierre Matalon","orcid":"https://orcid.org/0000-0002-4288-2289"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210106946","display_name":"Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique","ror":"https://ror.org/02dzbc556","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210106946"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Pierre Matalon","raw_affiliation_strings":["IRIT-APO - Algorithmes Parall\u00e8les et Optimisation (Institut de recherche en informatique de Toulouse - IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","CERFACS - Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique (42 Avenue Gaspard Coriolis 31057 TOULOUSE CEDEX 1 - France)","FAU - Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg = University of Erlangen-Nuremberg (Schlossplatz 4, 91054 Erlangen, Germany - Germany)","IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)"],"raw_orcid":"https://orcid.org/0000-0002-4288-2289","affiliations":[{"raw_affiliation_string":"IRIT-APO - Algorithmes Parall\u00e8les et Optimisation (Institut de recherche en informatique de Toulouse - IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I134560555","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"CERFACS - Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique (42 Avenue Gaspard Coriolis 31057 TOULOUSE CEDEX 1 - France)","institution_ids":["https://openalex.org/I4210106946"]},{"raw_affiliation_string":"FAU - Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg = University of Erlangen-Nuremberg (Schlossplatz 4, 91054 Erlangen, Germany - Germany)","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081408798","display_name":"Paul Mycek","orcid":"https://orcid.org/0000-0002-6919-112X"},"institutions":[{"id":"https://openalex.org/I4210106946","display_name":"Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique","ror":"https://ror.org/02dzbc556","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210106946"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paul Mycek","raw_affiliation_strings":["CERFACS - Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique (42 Avenue Gaspard Coriolis 31057 TOULOUSE CEDEX 1 - France)"],"raw_orcid":"https://orcid.org/0000-0002-6919-112X","affiliations":[{"raw_affiliation_string":"CERFACS - Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique (42 Avenue Gaspard Coriolis 31057 TOULOUSE CEDEX 1 - France)","institution_ids":["https://openalex.org/I4210106946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109197540","display_name":"Ulrich R\u00fcde","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ulrich R\u00fcde","raw_affiliation_strings":["FAU - Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg = University of Erlangen-Nuremberg (Schlossplatz 4, 91054 Erlangen, Germany - Germany)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FAU - Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg = University of Erlangen-Nuremberg (Schlossplatz 4, 91054 Erlangen, Germany - Germany)","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101763596","display_name":"Daniel Ruiz","orcid":"https://orcid.org/0000-0002-8512-5421"},"institutions":[{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniel Ruiz","raw_affiliation_strings":["ENSEEIHT - Ecole Nationale Sup\u00e9rieure d'Electrotechnique, d'Electronique, d'Informatique, d'Hydraulique et de T\u00e9l\u00e9communications (2 rue Charles Camichel. BP 7122 31071 Toulouse cedex 7 FR - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSEEIHT - Ecole Nationale Sup\u00e9rieure d'Electrotechnique, d'Electronique, d'Informatique, d'Hydraulique et de T\u00e9l\u00e9communications (2 rue Charles Camichel. BP 7122 31071 Toulouse cedex 7 FR - France)","institution_ids":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6043,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79872125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"43","issue":"5","first_page":"S839","last_page":"S861"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.996999979019165,"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/T11416","display_name":"Numerical methods for differential equations","score":0.993399977684021,"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/multigrid-method","display_name":"Multigrid method","score":0.9092190265655518},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6172102689743042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5554550290107727},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5358152985572815},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3934626281261444},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.38336285948753357},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.31668204069137573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24580422043800354},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.20613783597946167},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.11098504066467285},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10539358854293823}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.9092190265655518},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6172102689743042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5554550290107727},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5358152985572815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3934626281261444},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.38336285948753357},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.31668204069137573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24580422043800354},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.20613783597946167},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.11098504066467285},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10539358854293823},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/20m1342471","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1342471","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02434411v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02434411","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":"https://hal.archives-ouvertes.fr/hal-02434411","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02434411v3","is_oa":false,"landing_page_url":"https://hal.science/hal-02434411","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://epubs.siam.org/doi/10.1137/20M1342471","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02434411v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02434411","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":"https://hal.archives-ouvertes.fr/hal-02434411","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[{"score":0.7900000214576721,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G3530284777","display_name":null,"funder_award_id":"ANR-17-CE23-0019","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1009522003","https://openalex.org/W1572617741","https://openalex.org/W1978682560","https://openalex.org/W1982576260","https://openalex.org/W1989473508","https://openalex.org/W1993578085","https://openalex.org/W1998894128","https://openalex.org/W2008325195","https://openalex.org/W2012656351","https://openalex.org/W2040298463","https://openalex.org/W2059050528","https://openalex.org/W2140013918","https://openalex.org/W2160635789","https://openalex.org/W2269734465","https://openalex.org/W2510573815","https://openalex.org/W2597480328","https://openalex.org/W2883313970","https://openalex.org/W2901594430","https://openalex.org/W2962787424","https://openalex.org/W2963241937","https://openalex.org/W2982663240","https://openalex.org/W3000103021","https://openalex.org/W3103023519"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W2625595466","https://openalex.org/W2020385488","https://openalex.org/W105006890"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}