{"id":"https://openalex.org/W1970610330","doi":"https://doi.org/10.1137/s0036142902408283","title":"A Posteriori Error Estimators for Regularized Total Variation of Characteristic Functions","display_name":"A Posteriori Error Estimators for Regularized Total Variation of Characteristic Functions","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1970610330","doi":"https://doi.org/10.1137/s0036142902408283","mag":"1970610330"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142902408283","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142902408283","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/A5003548778","display_name":"Francesca Fierro","orcid":"https://orcid.org/0000-0001-5509-6618"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francesca Fierro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5073393258","display_name":"Andreas Veeser","orcid":"https://orcid.org/0000-0002-2152-2911"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andreas Veeser","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":2.6845,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.88354157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"41","issue":"6","first_page":"2032","last_page":"2055"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9991000294685364,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9962999820709229,"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/mathematics","display_name":"Mathematics","score":0.8732163906097412},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7886050939559937},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.674704909324646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.633176326751709},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6279728412628174},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.601180911064148},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.5477055311203003},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4810950458049774},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4191853702068329},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25528964400291443},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1213727593421936},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07254737615585327}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8732163906097412},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7886050939559937},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.674704909324646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.633176326751709},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6279728412628174},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.601180911064148},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.5477055311203003},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4810950458049774},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4191853702068329},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25528964400291443},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1213727593421936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07254737615585327},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036142902408283","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142902408283","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:hdl:10068/317974","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/317974","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Y - Progress report"}],"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/W375411588","https://openalex.org/W1563676637","https://openalex.org/W1963959271","https://openalex.org/W1992893649","https://openalex.org/W1995404822","https://openalex.org/W2009985306","https://openalex.org/W2011884938","https://openalex.org/W2039924562","https://openalex.org/W2044300169","https://openalex.org/W2044627846","https://openalex.org/W2045586731","https://openalex.org/W2061783623","https://openalex.org/W2071036364","https://openalex.org/W2074500586","https://openalex.org/W2076074132","https://openalex.org/W2088130588","https://openalex.org/W2124214067","https://openalex.org/W2505585705","https://openalex.org/W2946788155","https://openalex.org/W4249051710"],"related_works":["https://openalex.org/W37066597","https://openalex.org/W25733641","https://openalex.org/W1977553163","https://openalex.org/W1993570899","https://openalex.org/W188298612","https://openalex.org/W1555094802","https://openalex.org/W3128822846","https://openalex.org/W4230197975","https://openalex.org/W2028070877","https://openalex.org/W2046814020"],"abstract_inverted_index":{"We":[0,27],"consider":[1],"a":[2,13,16,29],"nonuniformly":[3],"elliptic":[4],"double":[5],"obstacle":[6],"problem":[7],"arising":[8],"from":[9],"\"convexifying\"":[10],"and":[11,48,60,64,80],"regularizing":[12],"minimization":[14],"of":[15,24,58],"functional":[17],"with":[18,36],"total":[19],"variation":[20],"in":[21,43,55,76],"the":[22,33,44,52,56],"set":[23],"characteristic":[25],"functions.":[26],"derive":[28],"posteriori":[30],"estimators":[31,75],"for":[32],"discretization":[34],"error":[35],"linear":[37],"finite":[38],"elements,":[39],"which":[40],"are":[41,65],"uniform":[42],"regularization,":[45],"incorporate":[46],"computable":[47],"local":[49],"information":[50],"on":[51],"conditioning,":[53],"vanish":[54],"intersection":[57],"discrete":[59],"exact":[61],"contact":[62],"sets,":[63],"not":[66],"affected":[67],"by":[68,84],"possible":[69],"nonuniqueness.":[70],"Moreover,":[71],"we":[72],"integrate":[73],"these":[74],"an":[77],"adaptive":[78],"algorithm":[79],"illustrate":[81],"their":[82],"properties":[83],"various":[85],"numerical":[86],"experiments.":[87]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
