{"id":"https://openalex.org/W2090972773","doi":"https://doi.org/10.1137/s1064827500366999","title":"A FETI Preconditioner for Two Dimensional Edge Element Approximations of Maxwell's Equations on Nonmatching Grids","display_name":"A FETI Preconditioner for Two Dimensional Edge Element Approximations of Maxwell's Equations on Nonmatching Grids","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2090972773","doi":"https://doi.org/10.1137/s1064827500366999","mag":"2090972773"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827500366999","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500366999","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5082461090","display_name":"Francesca Rapetti","orcid":"https://orcid.org/0000-0002-5508-9407"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Francesca Rapetti","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012810207","display_name":"Andrea Toselli","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Andrea Toselli","raw_affiliation_strings":["[ETH, Zurich]"],"affiliations":[{"raw_affiliation_string":"[ETH, Zurich]","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082461090"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0821,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.93356577,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"23","issue":"1","first_page":"92","last_page":"108"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.9994999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8889369964599609},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8520393967628479},{"id":"https://openalex.org/keywords/feti","display_name":"FETI","score":0.8507785797119141},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6263002753257751},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5507404208183289},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5000977516174316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4779800772666931},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.33079075813293457},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08949622511863708}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8889369964599609},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8520393967628479},{"id":"https://openalex.org/C171609451","wikidata":"https://www.wikidata.org/wiki/Q5425382","display_name":"FETI","level":4,"score":0.8507785797119141},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6263002753257751},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5507404208183289},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5000977516174316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4779800772666931},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.33079075813293457},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08949622511863708},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827500366999","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500366999","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5699999928474426,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W39784065","https://openalex.org/W76188627","https://openalex.org/W170868261","https://openalex.org/W206714260","https://openalex.org/W624951488","https://openalex.org/W654212798","https://openalex.org/W1520203544","https://openalex.org/W1542243431","https://openalex.org/W1545082185","https://openalex.org/W1570966844","https://openalex.org/W1595782612","https://openalex.org/W1674659126","https://openalex.org/W1852082788","https://openalex.org/W1973769376","https://openalex.org/W1979436246","https://openalex.org/W1992110290","https://openalex.org/W2005390260","https://openalex.org/W2006489430","https://openalex.org/W2043285647","https://openalex.org/W2045656285","https://openalex.org/W2062618977","https://openalex.org/W2063806054","https://openalex.org/W2073721945","https://openalex.org/W2074150787","https://openalex.org/W2092753238","https://openalex.org/W2094281210","https://openalex.org/W2111092682","https://openalex.org/W2140280828","https://openalex.org/W2159959193","https://openalex.org/W2412889084","https://openalex.org/W3149667697","https://openalex.org/W3166595295","https://openalex.org/W4234137900","https://openalex.org/W4235024121"],"related_works":["https://openalex.org/W2084064164","https://openalex.org/W2091647599","https://openalex.org/W4229577910","https://openalex.org/W2008273138","https://openalex.org/W2800324324","https://openalex.org/W2063806054","https://openalex.org/W2019221864","https://openalex.org/W2640255794","https://openalex.org/W1798387320","https://openalex.org/W2409928099"],"abstract_inverted_index":{"A":[0],"class":[1],"of":[2,9,22,52,60,63,68],"FETI":[3],"methods":[4],"for":[5],"the":[6,50,61,66,69],"mortar":[7],"approximation":[8],"a":[10],"vector":[11],"field":[12],"problem":[13],"in":[14,54],"two":[15],"dimensions":[16],"is":[17,58],"proposed.":[18],"Edge":[19],"element":[20],"discretizations":[21],"lowest":[23],"degree":[24],"are":[25],"considered.":[26],"The":[27],"method":[28],"proposed":[29],"can":[30],"be":[31],"employed":[32],"with":[33,49],"geometrically":[34],"conforming":[35],"and":[36,57,65],"nonconforming":[37],"partitions.":[38],"Our":[39],"numerical":[40],"results":[41],"show":[42],"that":[43],"its":[44],"condition":[45],"number":[46,51,62],"increases":[47],"only":[48],"unknowns":[53],"each":[55],"subdomain":[56],"independent":[59],"subdomains":[64],"size":[67],"problem.":[70]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":16}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}