{"id":"https://openalex.org/W2163679815","doi":"https://doi.org/10.1007/s002110050003","title":"Numerical approximation of young measuresin non-convex variational problems","display_name":"Numerical approximation of young measuresin non-convex variational problems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2163679815","doi":"https://doi.org/10.1007/s002110050003","mag":"2163679815"},"language":"en","primary_location":{"id":"doi:10.1007/s002110050003","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110050003","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5036808184","display_name":"Carsten Carstensen","orcid":null},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Carsten Carstensen","raw_affiliation_strings":["Mathematisches Seminar, Christian-Albrecht-Universit\u00e4t zu Kiel, Ludewig-Meyn-Strasse 4, D-24098 Kiel, Germany\n, , , , , , DE","Mathematisches Seminar, Christian-Albrecht-Universit\u00e4t zu Kiel, Ludewig-Meyn-Strasse 4, D-24098 Kiel, Germany\n, , DE"],"affiliations":[{"raw_affiliation_string":"Mathematisches Seminar, Christian-Albrecht-Universit\u00e4t zu Kiel, Ludewig-Meyn-Strasse 4, D-24098 Kiel, Germany\n, , , , , , DE","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Mathematisches Seminar, Christian-Albrecht-Universit\u00e4t zu Kiel, Ludewig-Meyn-Strasse 4, D-24098 Kiel, Germany\n, , DE","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078525963","display_name":"Tom\u00e1\u0161 Roub\u0131\u0301\u010dek","orcid":"https://orcid.org/0000-0002-0651-5959"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Tom\u00e1\u0161 Roub\u00ed\u010dek","raw_affiliation_strings":["Mathematical Institute, Charles University, Sokolovsk\u00e1 83, CZ-186 75 Praha 8, Czech Republic\n, , , , , , CZ","Mathematical Institute, Charles University, Sokolovsk\u00e1 83, CZ-186 75 Praha 8, Czech Republic\n, , CZ"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Charles University, Sokolovsk\u00e1 83, CZ-186 75 Praha 8, Czech Republic\n, , , , , , CZ","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Mathematical Institute, Charles University, Sokolovsk\u00e1 83, CZ-186 75 Praha 8, Czech Republic\n, , CZ","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036808184"],"corresponding_institution_ids":["https://openalex.org/I32021983"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.5682,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.97345993,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"84","issue":"3","first_page":"395","last_page":"415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9976999759674072,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9947999715805054,"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":0.8296236395835876},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6080334782600403},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5413051247596741},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.5091421008110046},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.49328964948654175},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.48095718026161194},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4751948118209839},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.46494877338409424},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.44699984788894653},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4408230185508728},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.432075560092926},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41177043318748474},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.41095343232154846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2616279721260071},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0927358865737915}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8296236395835876},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6080334782600403},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5413051247596741},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.5091421008110046},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.49328964948654175},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.48095718026161194},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4751948118209839},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.46494877338409424},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.44699984788894653},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4408230185508728},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.432075560092926},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41177043318748474},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.41095343232154846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2616279721260071},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0927358865737915},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002110050003","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110050003","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W100828607","https://openalex.org/W1584259498","https://openalex.org/W1639449914","https://openalex.org/W1977950843","https://openalex.org/W1982631219","https://openalex.org/W1997241312","https://openalex.org/W2006026366","https://openalex.org/W2007454398","https://openalex.org/W2007875922","https://openalex.org/W2021826743","https://openalex.org/W2054535420","https://openalex.org/W2070108649","https://openalex.org/W2395843932"],"related_works":["https://openalex.org/W1634669938","https://openalex.org/W2007576447","https://openalex.org/W2026600343","https://openalex.org/W2391247224","https://openalex.org/W3083299225","https://openalex.org/W2040676043","https://openalex.org/W2045422358","https://openalex.org/W2391091101","https://openalex.org/W2549306020","https://openalex.org/W3199288759"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
