{"id":"https://openalex.org/W2024545549","doi":"https://doi.org/10.1515/156939505775248338","title":"Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients","display_name":"Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2024545549","doi":"https://doi.org/10.1515/156939505775248338","mag":"2024545549"},"language":"en","primary_location":{"id":"doi:10.1515/156939505775248338","is_oa":false,"landing_page_url":"https://doi.org/10.1515/156939505775248338","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","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/A5057154872","display_name":"L. Gerardo-Giorda","orcid":null},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Gerardo-Giorda","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Trento, Via Sommarive 14, 38050 Povo (TN), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Trento, Via Sommarive 14, 38050 Povo (TN), Italy","institution_ids":["https://openalex.org/I193223587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109156500","display_name":"F. Nataf","orcid":null},"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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Nataf","raw_affiliation_strings":["CMAP, CNRS, UMR 7641, \u00c9cole Polytechnique, 91128 Palaiseau Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMAP, CNRS, UMR 7641, \u00c9cole Polytechnique, 91128 Palaiseau Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210107641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9714,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89690265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8087269067764282},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.7280022501945496},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.5954328179359436},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.5767433643341064},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5474146604537964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5457857847213745},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.49142777919769287},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.4390287399291992},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42750105261802673},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41685763001441956},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32172176241874695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20627239346504211},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.17664289474487305},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.17201071977615356},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.07593360543251038},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06803944706916809}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8087269067764282},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.7280022501945496},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.5954328179359436},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5767433643341064},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5474146604537964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5457857847213745},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.49142777919769287},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.4390287399291992},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42750105261802673},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41685763001441956},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32172176241874695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20627239346504211},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.17664289474487305},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.17201071977615356},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.07593360543251038},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06803944706916809},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/156939505775248338","is_oa":false,"landing_page_url":"https://doi.org/10.1515/156939505775248338","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:iris.unitn.it:11572/41075","is_oa":false,"landing_page_url":"http://hdl.handle.net/11572/41075","pdf_url":null,"source":{"id":"https://openalex.org/S4377196320","display_name":"Iris (University of Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W193490384","https://openalex.org/W1503942291","https://openalex.org/W1968907862","https://openalex.org/W1970206310","https://openalex.org/W1973061863","https://openalex.org/W1975290568","https://openalex.org/W1979794255","https://openalex.org/W1980584261","https://openalex.org/W1982484245","https://openalex.org/W1987152170","https://openalex.org/W2000582360","https://openalex.org/W2003366432","https://openalex.org/W2007703035","https://openalex.org/W2009120193","https://openalex.org/W2020347382","https://openalex.org/W2033447735","https://openalex.org/W2060108637","https://openalex.org/W2070641733","https://openalex.org/W2072403669","https://openalex.org/W2076988803","https://openalex.org/W2077106134","https://openalex.org/W2077760421","https://openalex.org/W2089423775","https://openalex.org/W2096847169","https://openalex.org/W2114188988","https://openalex.org/W2115116786","https://openalex.org/W2140153041","https://openalex.org/W2159959193","https://openalex.org/W2171622994","https://openalex.org/W2228126955","https://openalex.org/W2555223243","https://openalex.org/W2557433803","https://openalex.org/W2964925612","https://openalex.org/W3134577105","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2902154408","https://openalex.org/W132556536","https://openalex.org/W2159100661","https://openalex.org/W2504287632","https://openalex.org/W2006251942","https://openalex.org/W1994696552","https://openalex.org/W2364741597","https://openalex.org/W1857348759","https://openalex.org/W4388482258","https://openalex.org/W2093211548"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,26],"consider":[4],"unsymmetric":[5],"elliptic":[6],"problems":[7],"of":[8,57,63,68,81],"advection\u2013diffusion\u2013reaction":[9],"type,":[10,59],"with":[11],"strongly":[12],"heterogeneous":[13],"and":[14,25,67,104],"anisotropic":[15],"diffusion":[16],"coefficients.":[17],"We":[18],"use":[19,62],"non-overlapping":[20],"Optimized":[21],"Schwarz":[22],"Methods":[23],"(OSM)":[24],"study":[27],"new":[28],"interface":[29,55,71,119],"conditions":[30,56,72],"where":[31,92],"only":[32],"one":[33,47],"or":[34],"two":[35,64],"real":[36,48,65],"parameters":[37,66],"have":[38],"to":[39,53,74,101,115],"be":[40],"chosen":[41],"along":[42],"the":[43,61,79,82,89,93,98,102,108,117],"entire":[44],"interface.":[45],"Using":[46],"parameter":[49],"it":[50],"is":[51,86,95],"possible":[52],"design":[54],"Robin":[58],"whereas":[60],"more":[69],"general":[70],"allows":[73],"better":[75],"take":[76],"into":[77],"account":[78],"heterogeneities":[80],"medium.":[83],"The":[84],"analysis":[85],"made":[87],"at":[88],"semi-discrete":[90],"level,":[91],"equation":[94],"discretized":[96],"in":[97,107],"direction":[99],"parallel":[100],"interface,":[103],"kept":[105],"continuous":[106],"normal":[109],"direction.":[110],"Numerical":[111],"results":[112],"are":[113],"given":[114],"validate":[116],"proposed":[118],"conditions.":[120]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}
