{"id":"https://openalex.org/W2015768906","doi":"https://doi.org/10.1007/s10915-014-9890-5","title":"Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method","display_name":"Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method","publication_year":2014,"publication_date":"2014-08-07","ids":{"openalex":"https://openalex.org/W2015768906","doi":"https://doi.org/10.1007/s10915-014-9890-5","mag":"2015768906"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-014-9890-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-014-9890-5","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/A5109482606","display_name":"Lucas C. Wilcox","orcid":null},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lucas C. Wilcox","raw_affiliation_strings":["Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, USA","Department of Applied Mathematics, Naval Postgraduate School, Monterey, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, USA","institution_ids":["https://openalex.org/I35364215"]},{"raw_affiliation_string":"Department of Applied Mathematics, Naval Postgraduate School, Monterey, USA#TAB#","institution_ids":["https://openalex.org/I35364215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012373865","display_name":"Georg Stadler","orcid":"https://orcid.org/0000-0001-7762-6544"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Georg Stadler","raw_affiliation_strings":["Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA","Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008274019","display_name":"Tan Bui\u2013Thanh","orcid":"https://orcid.org/0000-0003-3002-6474"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tan Bui-Thanh","raw_affiliation_strings":["Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, USA","Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA","Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, USA and Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at A ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, USA and Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at A ...#TAB#","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049331711","display_name":"Omar Ghattas","orcid":"https://orcid.org/0000-0001-7742-2509"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Omar Ghattas","raw_affiliation_strings":["Departments of Mechanical Engineering and Jackson School of Geosciences, The University of Texas at Austin, Austin, TX, USA","Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA","Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, USA and Departments of Mechanical Engineering and Jackson School of Geosciences, The University of ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Departments of Mechanical Engineering and Jackson School of Geosciences, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, USA and Departments of Mechanical Engineering and Jackson School of Geosciences, The University of ...#TAB#","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109482606"],"corresponding_institution_ids":["https://openalex.org/I35364215"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.894,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.895598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"63","issue":"1","first_page":"138","last_page":"162"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/discretization","display_name":"Discretization","score":0.9116262197494507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7698513269424438},{"id":"https://openalex.org/keywords/adjoint-equation","display_name":"Adjoint equation","score":0.7654281854629517},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6179745197296143},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5388661623001099},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.5226325988769531},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4855937361717224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47865092754364014},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4781271517276764},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4738072454929352},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4419942796230316},{"id":"https://openalex.org/keywords/discretization-of-continuous-features","display_name":"Discretization of continuous features","score":0.4205187261104584},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.1874319612979889},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0879942774772644}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.9116262197494507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7698513269424438},{"id":"https://openalex.org/C165551260","wikidata":"https://www.wikidata.org/wiki/Q4428962","display_name":"Adjoint equation","level":3,"score":0.7654281854629517},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6179745197296143},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5388661623001099},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.5226325988769531},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4855937361717224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47865092754364014},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4781271517276764},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4738072454929352},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4419942796230316},{"id":"https://openalex.org/C105427703","wikidata":"https://www.wikidata.org/wiki/Q665193","display_name":"Discretization of continuous features","level":4,"score":0.4205187261104584},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.1874319612979889},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0879942774772644},{"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":3,"locations":[{"id":"doi:10.1007/s10915-014-9890-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-014-9890-5","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:CiteSeerX.psu:10.1.1.716.9033","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.716.9033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.ices.utexas.edu/%7Etanbui/PublishedPapers/DGadjoint.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.950.4877","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.950.4877","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://calhoun.nps.edu/bitstream/handle/10945/40167/Wilcox_Discretely_Exact_2014.pdf%3Bjsessionid%3D18D0B29C3103427B676224E74C68DB7A?sequence%3D4","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W114707485","https://openalex.org/W433418221","https://openalex.org/W1513026061","https://openalex.org/W1538356049","https://openalex.org/W1540232275","https://openalex.org/W1583515859","https://openalex.org/W1585773866","https://openalex.org/W1600371943","https://openalex.org/W1627568958","https://openalex.org/W1820125862","https://openalex.org/W1847067072","https://openalex.org/W1967134278","https://openalex.org/W1972295722","https://openalex.org/W1986997550","https://openalex.org/W1999627133","https://openalex.org/W2003110376","https://openalex.org/W2003847415","https://openalex.org/W2005268217","https://openalex.org/W2007810692","https://openalex.org/W2009087777","https://openalex.org/W2017488448","https://openalex.org/W2020132470","https://openalex.org/W2023944418","https://openalex.org/W2028344446","https://openalex.org/W2031291057","https://openalex.org/W2032117385","https://openalex.org/W2032119807","https://openalex.org/W2043514553","https://openalex.org/W2050255334","https://openalex.org/W2056984487","https://openalex.org/W2070389042","https://openalex.org/W2085001376","https://openalex.org/W2085505887","https://openalex.org/W2095621348","https://openalex.org/W2098065241","https://openalex.org/W2134582191","https://openalex.org/W2322899430","https://openalex.org/W2333606738","https://openalex.org/W2478429860","https://openalex.org/W2553296218","https://openalex.org/W2962707560","https://openalex.org/W3143214667","https://openalex.org/W4212946773","https://openalex.org/W4234524531","https://openalex.org/W4251197584","https://openalex.org/W4285719527","https://openalex.org/W4300184951"],"related_works":["https://openalex.org/W3048332761","https://openalex.org/W2120874885","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2040975642","https://openalex.org/W2462867196","https://openalex.org/W4382021736","https://openalex.org/W2053763547","https://openalex.org/W2314805611","https://openalex.org/W2324487000"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}