{"id":"https://openalex.org/W2068396428","doi":"https://doi.org/10.1007/s10852-006-9046-1","title":"An Adaptive Subdivision Algorithm for the Identification of the Diffusion Coefficient in Two-dimensional Elliptic Problems","display_name":"An Adaptive Subdivision Algorithm for the Identification of the Diffusion Coefficient in Two-dimensional Elliptic Problems","publication_year":2006,"publication_date":"2006-10-03","ids":{"openalex":"https://openalex.org/W2068396428","doi":"https://doi.org/10.1007/s10852-006-9046-1","mag":"2068396428"},"language":"en","primary_location":{"id":"doi:10.1007/s10852-006-9046-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10852-006-9046-1","pdf_url":null,"source":{"id":"https://openalex.org/S80764785","display_name":"Journal of Mathematical Modelling and Algorithms","issn_l":"1570-1166","issn":["1570-1166","1572-9214"],"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":"Journal of Mathematical Modelling and Algorithms","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/A5024272636","display_name":"Mohamed Hayek","orcid":"https://orcid.org/0000-0002-4431-1965"},"institutions":[{"id":"https://openalex.org/I4210148884","display_name":"Laboratoire de Dynamique des Fluides","ror":"https://ror.org/059jx7q58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I124158823","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I4210134562","https://openalex.org/I4210134562","https://openalex.org/I4210148884"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Mohamed Hayek","raw_affiliation_strings":["Institut de M\u00e9canique des Fluides et des Solides, Universit\u00e9 Louis Pasteur de Strasbourg - CNRS/UMR 7507, 2 rue Boussingault, F-67000, Strasbourg, France","Universit\u00e9 Louis Pasteur de Strasbourg - CNRS/UMR 7507"],"affiliations":[{"raw_affiliation_string":"Institut de M\u00e9canique des Fluides et des Solides, Universit\u00e9 Louis Pasteur de Strasbourg - CNRS/UMR 7507, 2 rue Boussingault, F-67000, Strasbourg, France","institution_ids":["https://openalex.org/I4210148884","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 Louis Pasteur de Strasbourg - CNRS/UMR 7507","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063677376","display_name":"Philippe Ackerer","orcid":"https://orcid.org/0000-0002-9111-6118"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210148884","display_name":"Laboratoire de Dynamique des Fluides","ror":"https://ror.org/059jx7q58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I124158823","https://openalex.org/I190752583","https://openalex.org/I190861549","https://openalex.org/I4210134562","https://openalex.org/I4210134562","https://openalex.org/I4210148884"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Ackerer","raw_affiliation_strings":["Institut de M\u00e9canique des Fluides et des Solides, Universit\u00e9 Louis Pasteur de Strasbourg - CNRS/UMR 7507, 2 rue Boussingault, F-67000, Strasbourg, France","Universit\u00e9 Louis Pasteur de Strasbourg - CNRS/UMR 7507"],"affiliations":[{"raw_affiliation_string":"Institut de M\u00e9canique des Fluides et des Solides, Universit\u00e9 Louis Pasteur de Strasbourg - CNRS/UMR 7507, 2 rue Boussingault, F-67000, Strasbourg, France","institution_ids":["https://openalex.org/I4210148884","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 Louis Pasteur de Strasbourg - CNRS/UMR 7507","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024272636"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210148884"],"apc_list":null,"apc_paid":null,"fwci":0.8525,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.70397031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"6","issue":"4","first_page":"529","last_page":"545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9988999962806702,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7511924505233765},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.6808993220329285},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5934263467788696},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5782097578048706},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5201292634010315},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5193911194801331},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.458936870098114},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.45127007365226746},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.42413920164108276},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.41316545009613037},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4086334705352783},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3725567162036896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.318462610244751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30567121505737305},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.10170900821685791}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7511924505233765},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.6808993220329285},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5934263467788696},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5782097578048706},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5201292634010315},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5193911194801331},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.458936870098114},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45127007365226746},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.42413920164108276},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.41316545009613037},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4086334705352783},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3725567162036896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.318462610244751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30567121505737305},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.10170900821685791},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10852-006-9046-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10852-006-9046-1","pdf_url":null,"source":{"id":"https://openalex.org/S80764785","display_name":"Journal of Mathematical Modelling and Algorithms","issn_l":"1570-1166","issn":["1570-1166","1572-9214"],"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":"Journal of Mathematical Modelling and Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W100819924","https://openalex.org/W127084020","https://openalex.org/W223111888","https://openalex.org/W338288148","https://openalex.org/W1189306966","https://openalex.org/W1969250954","https://openalex.org/W1975612171","https://openalex.org/W2012603248","https://openalex.org/W2057832688","https://openalex.org/W2064902143","https://openalex.org/W2083134367","https://openalex.org/W2095078978","https://openalex.org/W2130446937","https://openalex.org/W2163824141","https://openalex.org/W2337791351"],"related_works":["https://openalex.org/W1645056428","https://openalex.org/W1454600515","https://openalex.org/W2385263368","https://openalex.org/W2347422947","https://openalex.org/W2368296458","https://openalex.org/W1994636611","https://openalex.org/W2004238570","https://openalex.org/W1996464949","https://openalex.org/W2040445660","https://openalex.org/W2268549697"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}