{"id":"https://openalex.org/W2963672706","doi":"https://doi.org/10.1007/s10957-019-01545-4","title":"On a Monotone Scheme for Nonconvex Nonsmooth Optimization with Applications to Fracture Mechanics","display_name":"On a Monotone Scheme for Nonconvex Nonsmooth Optimization with Applications to Fracture Mechanics","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2963672706","doi":"https://doi.org/10.1007/s10957-019-01545-4","mag":"2963672706"},"language":"en","primary_location":{"id":"pmh:oai:www.research.unipd.it:11577/3322561","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/3322561","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11577/3322561","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080221665","display_name":"Daria Ghilli","orcid":"https://orcid.org/0000-0002-7420-9240"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Ghilli D.","raw_affiliation_strings":["Institute for Mathematics and Scientific Computing, Karl-Franzens University, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and Scientific Computing, Karl-Franzens University, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074607617","display_name":"Karl Kunisch","orcid":"https://orcid.org/0000-0003-1113-7355"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Kunisch K.","raw_affiliation_strings":["Institute for Mathematics and Scientific Computing, Karl-Franzens University, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and Scientific Computing, Karl-Franzens University, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1942,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50867455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9984999895095825,"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/T11558","display_name":"Composite Material Mechanics","score":0.9940000176429749,"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/theory-of-computation","display_name":"Theory of computation","score":0.7750300168991089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7487818002700806},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6593053340911865},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6172008514404297},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.514651894569397},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.48362910747528076},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4815659821033478},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45056524872779846},{"id":"https://openalex.org/keywords/fracture-mechanics","display_name":"Fracture mechanics","score":0.4418395161628723},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21031740307807922},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17911511659622192},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09541097283363342}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7750300168991089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7487818002700806},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6593053340911865},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6172008514404297},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.514651894569397},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.48362910747528076},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4815659821033478},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45056524872779846},{"id":"https://openalex.org/C59085676","wikidata":"https://www.wikidata.org/wiki/Q957852","display_name":"Fracture mechanics","level":2,"score":0.4418395161628723},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21031740307807922},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17911511659622192},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09541097283363342},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:www.research.unipd.it:11577/3322561","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/3322561","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.research.unipd.it:11577/3322561","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/3322561","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325582","display_name":"Karl-Franzens-Universit\u00e4t Graz","ror":"https://ror.org/01faaaf77"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W294527208","https://openalex.org/W589601359","https://openalex.org/W1510184633","https://openalex.org/W1965125844","https://openalex.org/W1968472621","https://openalex.org/W1968694834","https://openalex.org/W1969387119","https://openalex.org/W1977438527","https://openalex.org/W1983590837","https://openalex.org/W1986931325","https://openalex.org/W1990834492","https://openalex.org/W1992858116","https://openalex.org/W2012961725","https://openalex.org/W2013916391","https://openalex.org/W2014360396","https://openalex.org/W2017718716","https://openalex.org/W2019486106","https://openalex.org/W2025666718","https://openalex.org/W2043784721","https://openalex.org/W2053608531","https://openalex.org/W2054455698","https://openalex.org/W2061598070","https://openalex.org/W2074682976","https://openalex.org/W2081178923","https://openalex.org/W2101336703","https://openalex.org/W2107899097","https://openalex.org/W2111841405","https://openalex.org/W2129131372","https://openalex.org/W2135046866","https://openalex.org/W2135311088","https://openalex.org/W2142640959","https://openalex.org/W2149144946","https://openalex.org/W2155467163","https://openalex.org/W2164452299","https://openalex.org/W2166388529","https://openalex.org/W2167644773","https://openalex.org/W2290755408","https://openalex.org/W2296616510","https://openalex.org/W2766675893","https://openalex.org/W2952854958","https://openalex.org/W2963778089","https://openalex.org/W2964026624","https://openalex.org/W2964140353","https://openalex.org/W3098306969","https://openalex.org/W3101587150","https://openalex.org/W3103368540","https://openalex.org/W3103599690","https://openalex.org/W3105393233","https://openalex.org/W3106082627","https://openalex.org/W3106108064","https://openalex.org/W4250955649","https://openalex.org/W4292341628"],"related_works":["https://openalex.org/W1489292980","https://openalex.org/W2951610245","https://openalex.org/W2795079910","https://openalex.org/W1430963189","https://openalex.org/W2052430123","https://openalex.org/W3037410748","https://openalex.org/W4319835971","https://openalex.org/W2049901819","https://openalex.org/W1983437306","https://openalex.org/W1974262772"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}