{"id":"https://openalex.org/W3184460976","doi":"https://doi.org/10.1137/22m1479166","title":"Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit","display_name":"Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit","publication_year":2023,"publication_date":"2023-07-12","ids":{"openalex":"https://openalex.org/W3184460976","doi":"https://doi.org/10.1137/22m1479166","mag":"3184460976"},"language":"en","primary_location":{"id":"doi:10.1137/22m1479166","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1479166","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/da/publications/c43ffb11-d5be-4412-a378-767f13443a02","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051067534","display_name":"Anton Evgrafov","orcid":"https://orcid.org/0000-0002-3987-7745"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Anton Evgrafov","raw_affiliation_strings":["Department of Mathematical Sciences, Aalborg University, DK\u20139210 Aalborg, Denmark"],"raw_orcid":"https://orcid.org/0000-0002-3987-7745","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Aalborg University, DK\u20139210 Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036372371","display_name":"Jos\u00e9 C. Bellido","orcid":"https://orcid.org/0000-0001-5750-1349"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 C. Bellido","raw_affiliation_strings":["Department of Mathematics, University of Castilla-La Mancha, 13071\u2013Ciudad Real, Spain"],"raw_orcid":"https://orcid.org/0000-0001-5750-1349","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Castilla-La Mancha, 13071\u2013Ciudad Real, Spain","institution_ids":["https://openalex.org/I79189158"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051067534"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":null,"apc_paid":null,"fwci":0.7596,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.64957242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"55","issue":"4","first_page":"2740","last_page":"2773"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10717","display_name":"Aluminum Alloys Composites Properties","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T10717","display_name":"Aluminum Alloys Composites Properties","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9825000166893005,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9800000190734863,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8085963726043701},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7628805041313171},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6059750914573669},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5480015277862549},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24989068508148193}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8085963726043701},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7628805041313171},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6059750914573669},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5480015277862549},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24989068508148193}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/22m1479166","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1479166","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/c43ffb11-d5be-4412-a378-767f13443a02","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/c43ffb11-d5be-4412-a378-767f13443a02","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evgrafov, A & Bellido, J C 2023, 'Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit', SIAM Journal on Mathematical Analysis, vol. 55, no. 4, pp. 2740-2773. https://doi.org/10.1137/22M1479166","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2107.12994","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.12994","pdf_url":"https://arxiv.org/pdf/2107.12994","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:publications/1910ee76-e374-411e-8bb4-31c95a6dc1be","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/1910ee76-e374-411e-8bb4-31c95a6dc1be","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/c43ffb11-d5be-4412-a378-767f13443a02","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/c43ffb11-d5be-4412-a378-767f13443a02","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evgrafov, A & Bellido, J C 2023, 'Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit', SIAM Journal on Mathematical Analysis, vol. 55, no. 4, pp. 2740-2773. https://doi.org/10.1137/22M1479166","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5299999713897705,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G2975618178","display_name":null,"funder_award_id":"PID2020-116207GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G838608176","display_name":null,"funder_award_id":"SBPLY/19/180501/000110","funder_id":"https://openalex.org/F4320327216","funder_display_name":"Junta de Comunidades de Castilla-La Mancha"}],"funders":[{"id":"https://openalex.org/F4320327216","display_name":"Junta de Comunidades de Castilla-La Mancha","ror":"https://ror.org/02jv91m18"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W155907238","https://openalex.org/W345014192","https://openalex.org/W1527244075","https://openalex.org/W1545761024","https://openalex.org/W1575923498","https://openalex.org/W1674659126","https://openalex.org/W1970834444","https://openalex.org/W1975924814","https://openalex.org/W1982739078","https://openalex.org/W1995478890","https://openalex.org/W2004679400","https://openalex.org/W2007927352","https://openalex.org/W2009706884","https://openalex.org/W2036704698","https://openalex.org/W2038849474","https://openalex.org/W2040048213","https://openalex.org/W2046571480","https://openalex.org/W2056103878","https://openalex.org/W2066459185","https://openalex.org/W2075894130","https://openalex.org/W2086926544","https://openalex.org/W2092663520","https://openalex.org/W2135046866","https://openalex.org/W2296319761","https://openalex.org/W2531503025","https://openalex.org/W2597978105","https://openalex.org/W2607466135","https://openalex.org/W2770482887","https://openalex.org/W2804990541","https://openalex.org/W2897398973","https://openalex.org/W2943350168","https://openalex.org/W2945459121","https://openalex.org/W2949744623","https://openalex.org/W3021722416","https://openalex.org/W3033470384","https://openalex.org/W3034690440","https://openalex.org/W3039551234","https://openalex.org/W3042462629","https://openalex.org/W3130611547","https://openalex.org/W3171788755","https://openalex.org/W4206729127","https://openalex.org/W4214706872","https://openalex.org/W4250589301","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2011096580"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,31,34,40,70,73,103,117,122,130,133,141,156,159,171,179,190,206,219,223,236,244],"problem":[3,76,90,136,161],"of":[4,7,11,33,42,54,66,105,147,235,240,246],"optimal":[5,125,194],"distribution":[6],"a":[8,50,64,81,186,210],"limited":[9],"amount":[10,41],"conductive":[12],"material":[13,44,119,181],"in":[14,102,111,145,164,202],"systems":[15],"governed":[16],"by":[17],"local":[18,71,89,131,157,192],"and":[19,57,60,79,96,139,231],"nonlocal":[20,124,135,148,160,172,183,238],"scalar":[21],"diffusion":[22],"laws.":[23],"Of":[24],"particular":[25],"interest":[26,59],"for":[27,121,189],"these":[28],"problems":[29,184],"is":[30,45,53,77,91,100,137,175,200,215],"study":[32],"limiting":[35,51,74,212],"case,":[36,72,132,158],"which":[37],"appears":[38],"when":[39],"available":[43],"driven":[46,176],"to":[47,62,129,177,204,217,243],"zero.":[48],"Such":[49],"process":[52,213],"both":[55,94],"theoretical":[56],"practical":[58],"continues":[61],"be":[63],"subject":[65],"active":[67],"study.":[68],"In":[69,152],"optimization":[75],"convex":[78,138],"has":[80,140],"well-understood":[82],"basis":[83,142],"pursuit":[84,143],"structure.":[85],"Even":[86],"still,":[87],"this":[88,110],"quite":[92],"challenging":[93],"analytically":[95],"numerically":[97],"because":[98],"it":[99,214],"posed":[101],"space":[104],"vector-valued":[106],"Radon":[107],"measures.":[108],"With":[109],"mind,":[112],"we":[113],"focus":[114],"on":[115,222,229],"identifying":[116],"vanishing":[118],"limit":[120],"corresponding":[123,191],"design":[126,195],"problem.":[127,196],"Similarly":[128],"resulting":[134],"structure":[144],"terms":[146],"antisymmetric":[149],"two-point":[150,224],"fluxes.":[151,225],"stark":[153],"contrast":[154],"with":[155,167],"admits":[162],"solutions":[163],"Lebesgue":[165,248],"spaces":[166,242],"mixed":[168,247],"exponents.":[169,249],"When":[170],"interaction":[173],"horizon":[174],"zero,":[178],"\u201cvanishing":[180],"limit\u201d":[182],"provide":[185],"one-sided":[187,207],"estimate":[188,208],"measure-valued":[193],"The":[197],"surprising":[198],"fact":[199],"that":[201],"order":[203],"transform":[205],"into":[209],"true":[211],"sufficient":[216],"disregard":[218],"antisymmetry":[220],"requirement":[221],"This":[226],"result":[227],"relies":[228],"duality":[230],"requires":[232],"generalizing":[233],"some":[234],"well-known":[237],"characterizations":[239],"Sobolev":[241],"case":[245]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
