{"id":"https://openalex.org/W2055343229","doi":"https://doi.org/10.1137/040616401","title":"A FETI-DP Preconditioner with A Special Scaling for Mortar Discretization of Elliptic Problems with Discontinuous Coefficients","display_name":"A FETI-DP Preconditioner with A Special Scaling for Mortar Discretization of Elliptic Problems with Discontinuous Coefficients","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2055343229","doi":"https://doi.org/10.1137/040616401","mag":"2055343229"},"language":"en","primary_location":{"id":"doi:10.1137/040616401","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040616401","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5080126062","display_name":"Nina Dokeva","orcid":null},"institutions":[{"id":"https://openalex.org/I2800817003","display_name":"Southern California University for Professional Studies","ror":"https://ror.org/058zz0t50","country_code":"US","type":"education","lineage":["https://openalex.org/I2800817003"]},{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N. Dokeva","raw_affiliation_strings":["University of Southern California"],"affiliations":[{"raw_affiliation_string":"University of Southern California","institution_ids":["https://openalex.org/I2800817003","https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111980595","display_name":"M. Dryja","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"M. Dryja","raw_affiliation_strings":["Uniwersytet Warszawski - Wydzia\u0142 Matematyki, Informatyki i Mechaniki - Instytut Matematyki Stosowanej i Mechaniki - Zak\u0142ad Analizy Numerycznej"],"affiliations":[{"raw_affiliation_string":"Uniwersytet Warszawski - Wydzia\u0142 Matematyki, Informatyki i Mechaniki - Instytut Matematyki Stosowanej i Mechaniki - Zak\u0142ad Analizy Numerycznej","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113487329","display_name":"Wlodek Proskurowski","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W. Proskurowski","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080126062"],"corresponding_institution_ids":["https://openalex.org/I1174212","https://openalex.org/I2800817003"],"apc_list":null,"apc_paid":null,"fwci":2.1223,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86453413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"44","issue":"1","first_page":"283","last_page":"299"},"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":0.9994000196456909,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.9346122145652771},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8137574195861816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.765457034111023},{"id":"https://openalex.org/keywords/feti","display_name":"FETI","score":0.7478684782981873},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5612415671348572},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.559988796710968},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5051212906837463},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5014359951019287},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.43407729268074036},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3780650496482849},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.3210890293121338},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.14941859245300293},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.146656334400177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11323735117912292}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9346122145652771},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8137574195861816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.765457034111023},{"id":"https://openalex.org/C171609451","wikidata":"https://www.wikidata.org/wiki/Q5425382","display_name":"FETI","level":4,"score":0.7478684782981873},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5612415671348572},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.559988796710968},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5051212906837463},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5014359951019287},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.43407729268074036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3780650496482849},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.3210890293121338},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.14941859245300293},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.146656334400177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11323735117912292},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/040616401","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040616401","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.503.9048","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.503.9048","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-rcf.usc.edu/~proskuro/publications/DDP06.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W104391098","https://openalex.org/W1525049591","https://openalex.org/W1540940579","https://openalex.org/W1545082185","https://openalex.org/W1595782612","https://openalex.org/W1971812145","https://openalex.org/W2081624895","https://openalex.org/W2568960970"],"related_works":["https://openalex.org/W2215799427","https://openalex.org/W3026155144","https://openalex.org/W2511860072","https://openalex.org/W1987014340","https://openalex.org/W2055343229","https://openalex.org/W2229937481","https://openalex.org/W12830166","https://openalex.org/W1895573979","https://openalex.org/W4287324994","https://openalex.org/W332468404"],"abstract_inverted_index":{"We":[0,59],"consider":[1],"two-dimensional":[2],"elliptic":[3],"problems":[4],"with":[5,46,67],"discontinuous":[6,108],"coefficients":[7,51,74],"discretized":[8],"by":[9,32],"the":[10,20,23,62,71],"finite":[11],"element":[12],"method":[13],"on":[14],"geometrically":[15],"conforming":[16],"nonmatching":[17],"triangulations":[18],"across":[19],"interface":[21],"using":[22],"mortar":[24],"technique.":[25],"The":[26],"resulting":[27],"discrete":[28],"problem":[29],"is":[30,64,81],"solved":[31],"a":[33,44,47,90],"dual-primal":[34],"FETI":[35],"method.":[36],"In":[37],"this":[38],"paper":[39],"we":[40],"introduce":[41],"and":[42,52,55,75,107],"analyze":[43],"preconditioner":[45,63],"special":[48],"scaling":[49],"of":[50,70,73,92,95,102],"step":[53,76],"parameters":[54],"establish":[56],"convergence":[57,88],"bounds.":[58],"show":[60],"that":[61,83],"almost":[65,86],"optimal":[66,87],"constants":[68],"independent":[69],"jumps":[72],"parameters.":[77],"Extensive":[78],"computational":[79],"evidence":[80],"presented":[82],"illustrates":[84],"an":[85],"for":[89,104],"variety":[91],"situations":[93],"(distribution":[94],"subregions,":[96],"grid":[97,99],"assignment,":[98],"ratios,":[100],"number":[101],"subregions)":[103],"both":[105],"continuous":[106],"problems.":[109]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
