{"id":"https://openalex.org/W4379520773","doi":"https://doi.org/10.1007/s10915-023-02253-y","title":"$$hp$$-Optimal Interior Penalty Discontinuous Galerkin Methods for the Biharmonic Problem","display_name":"$$hp$$-Optimal Interior Penalty Discontinuous Galerkin Methods for the Biharmonic Problem","publication_year":2023,"publication_date":"2023-06-06","ids":{"openalex":"https://openalex.org/W4379520773","doi":"https://doi.org/10.1007/s10915-023-02253-y"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02253-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02253-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://inria.hal.science/hal-03889072/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087813300","display_name":"Zhaonan Dong","orcid":"https://orcid.org/0000-0003-4083-6593"},"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/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Z. Dong","raw_affiliation_strings":["CERMICS, Ecole des Ponts, 77455, Marne-la-Vall\u00e9e 2, France","Inria, 2 rue Simone Iff, 75589, Paris, France","SERENA - Simulation for the Environment: Reliable and Efficient Numerical Algorithms (48 Rue Barrault, 75013 Paris - France)","CERMICS - Centre d'Enseignement et de Recherche en Math\u00e9matiques et Calcul Scientifique (6 et 8 avenue Blaise Pascal Cit\u00e9 Descartes - Champs sur Marne 77455 Marne la Vall\u00e9e Cedex 2 - France)"],"affiliations":[{"raw_affiliation_string":"CERMICS, Ecole des Ponts, 77455, Marne-la-Vall\u00e9e 2, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]},{"raw_affiliation_string":"Inria, 2 rue Simone Iff, 75589, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"SERENA - Simulation for the Environment: Reliable and Efficient Numerical Algorithms (48 Rue Barrault, 75013 Paris - France)","institution_ids":[]},{"raw_affiliation_string":"CERMICS - Centre d'Enseignement et de Recherche en Math\u00e9matiques et Calcul Scientifique (6 et 8 avenue Blaise Pascal Cit\u00e9 Descartes - Champs sur Marne 77455 Marne la Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210128309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025411266","display_name":"Lorenzo Mascotto","orcid":"https://orcid.org/0000-0003-3401-6652"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]},{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["AT","IT"],"is_corresponding":false,"raw_author_name":"L. Mascotto","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano Bicocca, 20125, Milan, Italy","Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Wien, 1090, Vienna, Austria","IMATI-CNR, 27100, Pavia, Italy","Fakult\u00e4t f\u00fcr Mathematik [Wien] (Universit\u00e4t Wien, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria - Austria)","IMATI-CNR - Istituto di Matematica Applicata e Tecnologie Informatiche (Via Ferrata, 1, 27100 Pavia - Italy - Italy)","Dipartimento di Matematica e Applicazioni [Milano] (Dipartimento di Matematica e Applicazioni, Edificio U5, via Roberto Cozzi, 55, 20126 Milano - Italy)"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano Bicocca, 20125, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Wien, 1090, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"IMATI-CNR, 27100, Pavia, Italy","institution_ids":["https://openalex.org/I4210137033"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik [Wien] (Universit\u00e4t Wien, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria - Austria)","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"IMATI-CNR - Istituto di Matematica Applicata e Tecnologie Informatiche (Via Ferrata, 1, 27100 Pavia - Italy - Italy)","institution_ids":["https://openalex.org/I4210137033"]},{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni [Milano] (Dipartimento di Matematica e Applicazioni, Edificio U5, via Roberto Cozzi, 55, 20126 Milano - Italy)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087813300"],"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":1.0541,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71091177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"96","issue":"1","first_page":null,"last_page":null},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9972000122070312,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9965000152587891,"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/biharmonic-equation","display_name":"Biharmonic equation","score":0.9332319498062134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.895399808883667},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7457858324050903},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7159888744354248},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6836946606636047},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5771125555038452},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.48438674211502075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4770164489746094},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4316798746585846},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.40594035387039185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4016096591949463},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2507183253765106},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.24124857783317566}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.9332319498062134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.895399808883667},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7457858324050903},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7159888744354248},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6836946606636047},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5771125555038452},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.48438674211502075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4770164489746094},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4316798746585846},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.40594035387039185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4016096591949463},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2507183253765106},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.24124857783317566},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10915-023-02253-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02253-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-03889072v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03889072","pdf_url":"https://inria.hal.science/hal-03889072/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, In press, 96 (30), pp.30. ⟨10.1007/s10915-023-02253-y⟩","raw_type":"Journal articles"},{"id":"pmh:oai:boa.unimib.it:10281/419938","is_oa":true,"landing_page_url":"https://hdl.handle.net/10281/419938","pdf_url":"https://boa.unimib.it/bitstream/10281/419938/3/Dong-2023-Arxiv-PrePrint.pdf","source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03889072v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-03889072","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.inria.fr/hal-03889072","raw_type":"info:eu-repo/semantics/preprint"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03889072v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03889072","pdf_url":"https://inria.hal.science/hal-03889072/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, In press, 96 (30), pp.30. ⟨10.1007/s10915-023-02253-y⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4379520773.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W206256087","https://openalex.org/W396760590","https://openalex.org/W1488877410","https://openalex.org/W1585767079","https://openalex.org/W1586623601","https://openalex.org/W1596941773","https://openalex.org/W1970753375","https://openalex.org/W1975039968","https://openalex.org/W1987377268","https://openalex.org/W1990225789","https://openalex.org/W1998803201","https://openalex.org/W1999084636","https://openalex.org/W2006762191","https://openalex.org/W2008635392","https://openalex.org/W2017073125","https://openalex.org/W2029276558","https://openalex.org/W2036381687","https://openalex.org/W2047843190","https://openalex.org/W2053528667","https://openalex.org/W2066646023","https://openalex.org/W2076740943","https://openalex.org/W2082741499","https://openalex.org/W2093922796","https://openalex.org/W2101402782","https://openalex.org/W2112474656","https://openalex.org/W2118468229","https://openalex.org/W2137747286","https://openalex.org/W2158866285","https://openalex.org/W2223973105","https://openalex.org/W2525823748","https://openalex.org/W2584542431","https://openalex.org/W2963064249","https://openalex.org/W3036581729","https://openalex.org/W3131594322","https://openalex.org/W3166155954","https://openalex.org/W6601616708"],"related_works":["https://openalex.org/W1978530077","https://openalex.org/W2953079798","https://openalex.org/W1969674427","https://openalex.org/W4295815745","https://openalex.org/W3092754077","https://openalex.org/W1943927944","https://openalex.org/W2106524561","https://openalex.org/W2982093746","https://openalex.org/W3043435143","https://openalex.org/W2158006240"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-07T14:57:38.498316","created_date":"2025-10-10T00:00:00"}