{"id":"https://openalex.org/W2810418364","doi":"https://doi.org/10.1137/17m1140649","title":"$C^0$ Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints","display_name":"$C^0$ Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2810418364","doi":"https://doi.org/10.1137/17m1140649","mag":"2810418364"},"language":"en","primary_location":{"id":"doi:10.1137/17m1140649","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1140649","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5061146602","display_name":"Susanne C. Brenner","orcid":"https://orcid.org/0000-0001-8330-5667"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Susanne C. Brenner","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012268830","display_name":"Joscha Gedicke","orcid":"https://orcid.org/0000-0002-8448-0608"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joscha Gedicke","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8448-0608","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5106074354","display_name":"Li-yeng Sung","orcid":"https://orcid.org/0000-0002-6100-2160"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li-yeng Sung","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5268,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.88570091,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"56","issue":"3","first_page":"1758","last_page":"1785"},"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":0.9995999932289124,"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/T10514","display_name":"Numerical methods in engineering","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.9429804086685181},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7353910207748413},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6764291524887085},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.6287667751312256},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.556752622127533},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.42939502000808716},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4274205267429352},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.42052358388900757},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3473243713378906},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3026711940765381},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17633545398712158},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14288154244422913},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.13390448689460754}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.9429804086685181},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7353910207748413},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6764291524887085},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.6287667751312256},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.556752622127533},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.42939502000808716},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4274205267429352},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.42052358388900757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3473243713378906},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3026711940765381},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17633545398712158},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14288154244422913},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.13390448689460754},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1140649","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1140649","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-1110","is_oa":false,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/111","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4300000071525574,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1026364381","display_name":null,"funder_award_id":"P\u00a029197-N32","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G5978035599","display_name":"Higher Order Variational Inequalities: Novel Finite Element Methods and Fast Solvers","funder_award_id":"1620273","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1539280904","https://openalex.org/W1973302555","https://openalex.org/W1975039968","https://openalex.org/W1977135073","https://openalex.org/W1982242900","https://openalex.org/W1989060858","https://openalex.org/W1990225789","https://openalex.org/W2000073875","https://openalex.org/W2002230262","https://openalex.org/W2011275179","https://openalex.org/W2018228517","https://openalex.org/W2026365342","https://openalex.org/W2034365979","https://openalex.org/W2043093409","https://openalex.org/W2045681609","https://openalex.org/W2050083144","https://openalex.org/W2053931412","https://openalex.org/W2059367664","https://openalex.org/W2066646023","https://openalex.org/W2070926543","https://openalex.org/W2084857089","https://openalex.org/W2088288520","https://openalex.org/W2094695561","https://openalex.org/W2098904058","https://openalex.org/W2110176271","https://openalex.org/W2138912046","https://openalex.org/W2264741662","https://openalex.org/W2332811322","https://openalex.org/W2462781348","https://openalex.org/W2525823748","https://openalex.org/W2737752111","https://openalex.org/W3103799469","https://openalex.org/W4231269780"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W143502885","https://openalex.org/W42113618","https://openalex.org/W2103468410","https://openalex.org/W1972598260","https://openalex.org/W2043909370","https://openalex.org/W2061750202","https://openalex.org/W2128707062","https://openalex.org/W1584005906","https://openalex.org/W2918200358"],"abstract_inverted_index":{"We":[0],"design":[1],"and":[2],"analyze":[3],"$C^0$":[4],"interior":[5],"penalty":[6],"methods":[7],"for":[8],"an":[9],"elliptic":[10],"distributed":[11],"optimal":[12],"control":[13],"problem":[14],"on":[15],"nonconvex":[16],"polygonal":[17],"domains":[18],"with":[19],"pointwise":[20],"state":[21],"constraints.":[22]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}