{"id":"https://openalex.org/W2300900742","doi":"https://doi.org/10.1007/s10589-016-9823-3","title":"The split Bregman algorithm applied to PDE-constrained optimization problems with total variation regularization","display_name":"The split Bregman algorithm applied to PDE-constrained optimization problems with total variation regularization","publication_year":2016,"publication_date":"2016-02-02","ids":{"openalex":"https://openalex.org/W2300900742","doi":"https://doi.org/10.1007/s10589-016-9823-3","mag":"2300900742"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-016-9823-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-016-9823-3","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5025288580","display_name":"Ole L\u00f8seth Elvetun","orcid":"https://orcid.org/0000-0002-8461-6747"},"institutions":[{"id":"https://openalex.org/I54108979","display_name":"Norwegian University of Life Sciences","ror":"https://ror.org/04a1mvv97","country_code":"NO","type":"education","lineage":["https://openalex.org/I54108979"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Ole L\u00f8seth Elvetun","raw_affiliation_strings":["Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, \u00c5s, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, \u00c5s, Norway","institution_ids":["https://openalex.org/I54108979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068806959","display_name":"Bj\u00f8rn Fredrik Nielsen","orcid":"https://orcid.org/0000-0002-3747-7828"},"institutions":[{"id":"https://openalex.org/I54108979","display_name":"Norwegian University of Life Sciences","ror":"https://ror.org/04a1mvv97","country_code":"NO","type":"education","lineage":["https://openalex.org/I54108979"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Bj\u00f8rn Fredrik Nielsen","raw_affiliation_strings":["Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, \u00c5s, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, \u00c5s, Norway","institution_ids":["https://openalex.org/I54108979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025288580"],"corresponding_institution_ids":["https://openalex.org/I54108979"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5546,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80245824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"64","issue":"3","first_page":"699","last_page":"724"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9991999864578247,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/mathematics","display_name":"Mathematics","score":0.799143373966217},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7614896297454834},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.6502393484115601},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6387954354286194},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5767444968223572},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5335975289344788},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.523880660533905},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5214169025421143},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5154358148574829},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.49323171377182007},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42967474460601807},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.41936206817626953},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3942672312259674},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.36117857694625854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14663025736808777},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1441379189491272},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.13192084431648254}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.799143373966217},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7614896297454834},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.6502393484115601},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6387954354286194},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5767444968223572},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5335975289344788},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.523880660533905},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5214169025421143},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5154358148574829},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.49323171377182007},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42967474460601807},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.41936206817626953},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3942672312259674},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.36117857694625854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14663025736808777},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1441379189491272},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.13192084431648254},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-016-9823-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-016-9823-3","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:64:y:2016:i:3:d:10.1007_s10589-016-9823-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-016-9823-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W207373900","https://openalex.org/W1966886095","https://openalex.org/W1980053021","https://openalex.org/W1983053523","https://openalex.org/W1985588167","https://openalex.org/W1986850130","https://openalex.org/W1989116194","https://openalex.org/W1993491255","https://openalex.org/W1996287810","https://openalex.org/W2001969547","https://openalex.org/W2011181254","https://openalex.org/W2017848200","https://openalex.org/W2020461703","https://openalex.org/W2028349884","https://openalex.org/W2033468335","https://openalex.org/W2049556208","https://openalex.org/W2057624533","https://openalex.org/W2066565334","https://openalex.org/W2067736594","https://openalex.org/W2086670019","https://openalex.org/W2089312400","https://openalex.org/W2103559027","https://openalex.org/W2107604145","https://openalex.org/W2131742412","https://openalex.org/W2142058898","https://openalex.org/W2167400582","https://openalex.org/W2168815698","https://openalex.org/W2178958323","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2323113259","https://openalex.org/W4236459141","https://openalex.org/W3031624508","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W2551573654","https://openalex.org/W73248859","https://openalex.org/W1991285463","https://openalex.org/W2584253892","https://openalex.org/W2350324449"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}