{"id":"https://openalex.org/W2042239304","doi":"https://doi.org/10.1137/s0036142901396909","title":"A Nonoverlapping Domain Decomposition Method for Maxwell's Equations in Three Dimensions","display_name":"A Nonoverlapping Domain Decomposition Method for Maxwell's Equations in Three Dimensions","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2042239304","doi":"https://doi.org/10.1137/s0036142901396909","mag":"2042239304"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142901396909","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142901396909","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/A5034570816","display_name":"Qiya Hu","orcid":"https://orcid.org/0000-0003-3179-7115"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiya Hu","raw_affiliation_strings":["Institute of Computational Mathematics and Scientific/Engineering Computing of Chinese Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Scientific/Engineering Computing of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090609331","display_name":"Jun Zou","orcid":"https://orcid.org/0000-0002-4809-7724"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Zou","raw_affiliation_strings":["The Chinese University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034570816"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210090176"],"apc_list":null,"apc_paid":null,"fwci":3.2005,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.90945742,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"41","issue":"5","first_page":"1682","last_page":"1708"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991000294685364,"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/T10514","display_name":"Numerical methods in engineering","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/preconditioner","display_name":"Preconditioner","score":0.8953834772109985},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.8440951704978943},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.8388090133666992},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.835163950920105},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6949107646942139},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.667980432510376},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6566505432128906},{"id":"https://openalex.org/keywords/mortar-methods","display_name":"Mortar methods","score":0.5918943881988525},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.5772140026092529},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4848884046077728},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.48174265027046204},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43806740641593933},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3854734003543854},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.229514479637146},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1793350875377655},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1512688398361206}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8953834772109985},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8440951704978943},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.8388090133666992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.835163950920105},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6949107646942139},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.667980432510376},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6566505432128906},{"id":"https://openalex.org/C97110765","wikidata":"https://www.wikidata.org/wiki/Q17099078","display_name":"Mortar methods","level":4,"score":0.5918943881988525},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.5772140026092529},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4848884046077728},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.48174265027046204},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43806740641593933},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3854734003543854},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.229514479637146},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1793350875377655},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1512688398361206},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":5,"locations":[{"id":"doi:10.1137/s0036142901396909","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142901396909","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:10.1.1.190.1351","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.1351","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-10-02361-6/S0025-5718-10-02361-6.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.490.5074","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.490.5074","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cc.ac.cn/05research_report/0522.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.503.3279","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.503.3279","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://icmsec.cc.ac.cn/2008research_report/0812.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.536.6289","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.536.6289","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://icmsec.cc.ac.cn/2008research_report/0802.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W68577408","https://openalex.org/W1542243431","https://openalex.org/W1674659126","https://openalex.org/W1966937669","https://openalex.org/W1969732357","https://openalex.org/W1973835324","https://openalex.org/W1978324465","https://openalex.org/W1979964674","https://openalex.org/W1985506636","https://openalex.org/W1988570599","https://openalex.org/W1994934002","https://openalex.org/W2001104413","https://openalex.org/W2006895912","https://openalex.org/W2017085690","https://openalex.org/W2029243375","https://openalex.org/W2039371973","https://openalex.org/W2042248875","https://openalex.org/W2042732056","https://openalex.org/W2047861338","https://openalex.org/W2049754743","https://openalex.org/W2059687237","https://openalex.org/W2062618977","https://openalex.org/W2071704402","https://openalex.org/W2075896209","https://openalex.org/W2078783107","https://openalex.org/W2091221772","https://openalex.org/W2101109206","https://openalex.org/W2107119443","https://openalex.org/W3042562017","https://openalex.org/W4210970781","https://openalex.org/W4252104256","https://openalex.org/W4285719527","https://openalex.org/W4297789110"],"related_works":["https://openalex.org/W2277328098","https://openalex.org/W110394199","https://openalex.org/W1964968800","https://openalex.org/W1607555627","https://openalex.org/W1987832651","https://openalex.org/W68723791","https://openalex.org/W4229577910","https://openalex.org/W2007633113","https://openalex.org/W2042239304","https://openalex.org/W2088438462"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,30],"propose":[4],"a":[5],"nonoverlapping":[6,44],"domain":[7],"decomposition":[8],"method":[9],"for":[10],"solving":[11],"the":[12,18,23,28,43,50,54,61,64,68,77,80],"three-dimensional":[13],"Maxwell":[14],"equations,":[15],"based":[16],"on":[17,27,42,76],"edge":[19],"element":[20,70],"discretization.":[21],"For":[22],"Schur":[24],"complement":[25],"system":[26,56],"interface,":[29],"construct":[31],"an":[32],"efficient":[33],"preconditioner":[34],"by":[35],"introducing":[36],"two":[37],"special":[38],"coarse":[39],"subspaces":[40],"defined":[41],"subdomains.":[45],"It":[46],"is":[47],"shown":[48],"that":[49],"condition":[51],"number":[52],"of":[53,79],"preconditioned":[55],"grows":[57],"only":[58],"polylogarithmically":[59],"with":[60],"ratio":[62],"between":[63],"subdomain":[65],"diameter":[66],"and":[67],"finite":[69],"mesh":[71],"size":[72],"but":[73],"possibly":[74],"depends":[75],"jumps":[78],"coefficients.":[81]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":12}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
