{"id":"https://openalex.org/W4404223753","doi":"https://doi.org/10.1007/s10915-024-02717-9","title":"Multigrid Preconditioning for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem with a Convection-Dominated State Equation","display_name":"Multigrid Preconditioning for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem with a Convection-Dominated State Equation","publication_year":2024,"publication_date":"2024-11-11","ids":{"openalex":"https://openalex.org/W4404223753","doi":"https://doi.org/10.1007/s10915-024-02717-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-024-02717-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-024-02717-9","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/A5049197495","display_name":"Sixuan Liu","orcid":"https://orcid.org/0000-0002-0781-9866"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sijing Liu","raw_affiliation_strings":["The Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI, USA"],"raw_orcid":"https://orcid.org/0000-0002-0781-9866","affiliations":[{"raw_affiliation_string":"The Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI, USA","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081841768","display_name":"Valeria Simoncini","orcid":"https://orcid.org/0000-0003-0795-5865"},"institutions":[{"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/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valeria Simoncini","raw_affiliation_strings":["Dipartimento di Matematica and (AM)2, Alma Mater Studiorum - Universit\u00e0 di Bologna, 40126, Bologna, Italy","IMATI-CNR, Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica and (AM)2, Alma Mater Studiorum - Universit\u00e0 di Bologna, 40126, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"IMATI-CNR, Pavia, Italy","institution_ids":["https://openalex.org/I4210137033"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049197495"],"corresponding_institution_ids":["https://openalex.org/I27804330"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.7719,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64716815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"101","issue":"3","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":1.0,"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":1.0,"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":0.9987000226974487,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9904000163078308,"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":0.8418379426002502},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.693283200263977},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6841805577278137},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6224460601806641},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5641795992851257},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5371649265289307},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4714787006378174},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4512280225753784},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4301459491252899},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41582566499710083},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36930710077285767},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.260465145111084},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.25048139691352844},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2308691143989563},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1259857416152954},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06446146965026855}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8418379426002502},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.693283200263977},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6841805577278137},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6224460601806641},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5641795992851257},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5371649265289307},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4714787006378174},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4512280225753784},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4301459491252899},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41582566499710083},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36930710077285767},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.260465145111084},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.25048139691352844},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2308691143989563},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1259857416152954},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06446146965026855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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":2,"locations":[{"id":"doi:10.1007/s10915-024-02717-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-024-02717-9","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:cris.unibo.it:11585/997791","is_oa":false,"landing_page_url":"https://hdl.handle.net/11585/997791","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.7099999785423279}],"awards":[{"id":"https://openalex.org/G2351275005","display_name":null,"funder_award_id":"20227PCCKZ CUP J53D23003620006","funder_id":"https://openalex.org/F7311471023","funder_display_name":"NextGenerationEU"},{"id":"https://openalex.org/G6773502002","display_name":null,"funder_award_id":"DMS-1929284","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F7311471023","display_name":"NextGenerationEU","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W83631447","https://openalex.org/W245485844","https://openalex.org/W628726389","https://openalex.org/W1512732958","https://openalex.org/W1775526833","https://openalex.org/W1965305732","https://openalex.org/W1966532952","https://openalex.org/W1966886095","https://openalex.org/W1978837662","https://openalex.org/W1981159109","https://openalex.org/W1989116194","https://openalex.org/W1999713821","https://openalex.org/W2019529034","https://openalex.org/W2029725158","https://openalex.org/W2032596980","https://openalex.org/W2040625833","https://openalex.org/W2060732875","https://openalex.org/W2062002217","https://openalex.org/W2079423956","https://openalex.org/W2081212234","https://openalex.org/W2092701069","https://openalex.org/W2093664623","https://openalex.org/W2095060406","https://openalex.org/W2120749833","https://openalex.org/W2125822172","https://openalex.org/W2130350269","https://openalex.org/W2134582191","https://openalex.org/W2148028437","https://openalex.org/W2160635789","https://openalex.org/W2734728570","https://openalex.org/W2938794897","https://openalex.org/W2963017886","https://openalex.org/W2963900614","https://openalex.org/W3000522644","https://openalex.org/W3118045356","https://openalex.org/W3204708751","https://openalex.org/W4205624883","https://openalex.org/W4210300254","https://openalex.org/W4210351424","https://openalex.org/W4231405723","https://openalex.org/W4233665781","https://openalex.org/W4242960114","https://openalex.org/W4298228534","https://openalex.org/W4391375613","https://openalex.org/W6603202285"],"related_works":["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/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
