{"id":"https://openalex.org/W2013140564","doi":"https://doi.org/10.1137/080745171","title":"Smoothness and Convex Area Functionals\u2014Revisited","display_name":"Smoothness and Convex Area Functionals\u2014Revisited","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2013140564","doi":"https://doi.org/10.1137/080745171","mag":"2013140564"},"language":"en","primary_location":{"id":"doi:10.1137/080745171","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080745171","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 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/A5078203870","display_name":"Pablo Barrera S\u00e1nchez","orcid":null},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"P. Barrera S\u00e1nchez","raw_affiliation_strings":["pbs@hp.fciencias.unam.mx and jjcaa1@gmail.com and gfgf@hp.fciencias.unam.mx#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"pbs@hp.fciencias.unam.mx and jjcaa1@gmail.com and gfgf@hp.fciencias.unam.mx#TAB#","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103398094","display_name":"J. J. Cort\u00e9s","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. J. Cort\u00e9s","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002451774","display_name":"Francisco J. Dom\u00ednguez-Mota","orcid":"https://orcid.org/0000-0001-6837-172X"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. J. Dom\u00ednguez-Mota","raw_affiliation_strings":["dmota@umich.mx and jtinoco@umich.mx#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"dmota@umich.mx and jtinoco@umich.mx#TAB#","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018063698","display_name":"Guilmer F. Gonz\u00e1lez Flores","orcid":"https://orcid.org/0000-0001-7390-9088"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Gonz\u00e1lez Flores","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058680028","display_name":"Jos\u00e9 Gerardo Tinoco-Ruiz","orcid":"https://orcid.org/0000-0002-0866-4798"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. G. Tinoco-Ruiz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4704,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.6524983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"4","first_page":"1913","last_page":"1928"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9976000189781189,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/smoothness","display_name":"Smoothness","score":0.8612033128738403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7723596692085266},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6392307877540588},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5898901224136353},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5487008690834045},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.47429993748664856},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45721837878227234},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4329599142074585},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43139609694480896},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4299091696739197},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4201309084892273},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33458900451660156},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22835811972618103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19204935431480408}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.8612033128738403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7723596692085266},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6392307877540588},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5898901224136353},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5487008690834045},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.47429993748664856},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45721837878227234},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4329599142074585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43139609694480896},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4299091696739197},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4201309084892273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33458900451660156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22835811972618103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19204935431480408},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080745171","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080745171","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1968149708","https://openalex.org/W1979382551","https://openalex.org/W1999769834","https://openalex.org/W2005126631","https://openalex.org/W2031575841","https://openalex.org/W2043661645","https://openalex.org/W2080094887","https://openalex.org/W2086987991","https://openalex.org/W2090102393","https://openalex.org/W3111897257","https://openalex.org/W4244258518","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3153752017","https://openalex.org/W4387635768","https://openalex.org/W2040676043","https://openalex.org/W4288324104","https://openalex.org/W1977643895","https://openalex.org/W3125145310","https://openalex.org/W2391091101","https://openalex.org/W2187449906","https://openalex.org/W2051968184","https://openalex.org/W2388570749"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"two":[5],"new":[6],"functionals":[7,73],"within":[8],"the":[9,12,37,62],"context":[10],"of":[11,25],"variational":[13],"grid":[14,40],"generation":[15],"problem:":[16],"an":[17,30],"area":[18],"functional":[19],"and":[20,55],"a":[21],"smoothness":[22],"functional.":[23],"Both":[24],"them":[26],"are":[27,48],"based":[28],"on":[29,36,58],"improved":[31],"adaptive":[32],"algorithm":[33],"which":[34],"focuses":[35],"most":[38],"folded":[39],"cells.":[41],"It":[42],"is":[43],"shown":[44],"that":[45],"when":[46],"they":[47],"minimized":[49],"in":[50],"order":[51],"to":[52],"generate":[53],"smooth":[54],"convex":[56],"grids":[57],"irregular":[59],"planar":[60],"regions":[61],"optimization":[63],"process":[64],"converges":[65],"notably":[66],"faster":[67],"than":[68],"it":[69],"does":[70],"with":[71],"other":[72],"previously":[74],"reported.":[75]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
