{"id":"https://openalex.org/W2084002682","doi":"https://doi.org/10.1007/pl00005394","title":"Implementation of an adaptive finite-element approximation of the Mumford-Shah functional","display_name":"Implementation of an adaptive finite-element approximation of the Mumford-Shah functional","publication_year":2000,"publication_date":"2000-06-01","ids":{"openalex":"https://openalex.org/W2084002682","doi":"https://doi.org/10.1007/pl00005394","mag":"2084002682"},"language":"en","primary_location":{"id":"doi:10.1007/pl00005394","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00005394","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/A5014750530","display_name":"Blaise Bourdin","orcid":"https://orcid.org/0000-0002-1312-9175"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Blaise Bourdin","raw_affiliation_strings":["LPMTM (CNRS UPR 9001), Institut Galil\u00e9e, Universit\u00e9 Paris Nord, Av. J.-B. Cl\u00e9ment, F-93430 Villetaneuse, France; e-mail: Blaise.Bourdin@lpmtm.univ-paris13.fr\n, , , , , , FR","LPMTM (CNRS UPR 9001), Institut Galil\u00e9e, Universit\u00e9 Paris Nord, Av. J.-B. Cl\u00e9ment, F-93430 Villetaneuse, France; e-mail: Blaise.Bourdin@lpmtm.univ-paris13.fr#N#, , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LPMTM (CNRS UPR 9001), Institut Galil\u00e9e, Universit\u00e9 Paris Nord, Av. J.-B. Cl\u00e9ment, F-93430 Villetaneuse, France; e-mail: Blaise.Bourdin@lpmtm.univ-paris13.fr\n, , , , , , FR","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210091279"]},{"raw_affiliation_string":"LPMTM (CNRS UPR 9001), Institut Galil\u00e9e, Universit\u00e9 Paris Nord, Av. J.-B. Cl\u00e9ment, F-93430 Villetaneuse, France; e-mail: Blaise.Bourdin@lpmtm.univ-paris13.fr#N#, , FR","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089573258","display_name":"Antonin Chambolle","orcid":"https://orcid.org/0000-0002-9465-4659"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I171048554","display_name":"Centre de Recherche en Math\u00e9matiques de la D\u00e9cision","ror":"https://ror.org/03s0gj002","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I171048554","https://openalex.org/I2746051580","https://openalex.org/I4210141950","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antonin Chambolle","raw_affiliation_strings":["CEREMADE (CNRS UMR 7534), Universit\u00e9 de Paris-Dauphine, F-75775 Paris CEDEX 16, France; e-mail: Antonin.Chambolle@ceremade.dauphine.fr\n, , , , , , FR","CEREMADE (CNRS UMR 7534), Universit\u00e9 de Paris-Dauphine, F-75775 Paris CEDEX 16, France; e-mail: Antonin.Chambolle@ceremade.dauphine.fr#N#, , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEREMADE (CNRS UMR 7534), Universit\u00e9 de Paris-Dauphine, F-75775 Paris CEDEX 16, France; e-mail: Antonin.Chambolle@ceremade.dauphine.fr\n, , , , , , FR","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I171048554","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CEREMADE (CNRS UMR 7534), Universit\u00e9 de Paris-Dauphine, F-75775 Paris CEDEX 16, France; e-mail: Antonin.Chambolle@ceremade.dauphine.fr#N#, , FR","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.1021,"has_fulltext":false,"cited_by_count":141,"citation_normalized_percentile":{"value":0.96564187,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"85","issue":"4","first_page":"609","last_page":"646"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.8041822910308838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7936760783195496},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7731696963310242},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5871619582176208},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5166545510292053},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5158516764640808},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.41216665506362915},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38404008746147156},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3481026291847229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26744961738586426},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15910086035728455},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.05399468541145325}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.8041822910308838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7936760783195496},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7731696963310242},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5871619582176208},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5166545510292053},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5158516764640808},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.41216665506362915},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38404008746147156},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3481026291847229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26744961738586426},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15910086035728455},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.05399468541145325},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/pl00005394","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00005394","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"},{"id":"pmh:oai:digitalcommons.lsu.edu:mathematics_pubs-1072","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/mathematics_pubs/73","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"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-1072","is_oa":false,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/73","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W656727543","https://openalex.org/W1489458628","https://openalex.org/W1522020530","https://openalex.org/W1593038947","https://openalex.org/W1653619892","https://openalex.org/W1985349496","https://openalex.org/W1995764344","https://openalex.org/W2020999234","https://openalex.org/W2024720646","https://openalex.org/W2027068156","https://openalex.org/W2043784721","https://openalex.org/W2083623174","https://openalex.org/W2087655772","https://openalex.org/W2094434485","https://openalex.org/W2114487471","https://openalex.org/W2121713293","https://openalex.org/W2155280009","https://openalex.org/W2406409439","https://openalex.org/W2909420370","https://openalex.org/W2913192828"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2087496541","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2085564391","https://openalex.org/W2108615321","https://openalex.org/W1984758362","https://openalex.org/W2042049060","https://openalex.org/W2992936613"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
