{"id":"https://openalex.org/W2806681367","doi":"https://doi.org/10.1109/access.2018.2841005","title":"An Efficient Matrix Equation Parallel Direct Solver for Higher-Order Method of Moments in Solution of Complex Electromagnetic Problems","display_name":"An Efficient Matrix Equation Parallel Direct Solver for Higher-Order Method of Moments in Solution of Complex Electromagnetic Problems","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2806681367","doi":"https://doi.org/10.1109/access.2018.2841005","mag":"2806681367"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2841005","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2841005","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2841005","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100752518","display_name":"Zhongchao Lin","orcid":"https://orcid.org/0000-0002-9219-7992"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongchao Lin","raw_affiliation_strings":["Xidian University, Xian, Shaanxi, CN","Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi&#x2019;an, China","ORCiD"],"affiliations":[{"raw_affiliation_string":"Xidian University, Xian, Shaanxi, CN","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103078650","display_name":"Zongjing Gu","orcid":"https://orcid.org/0000-0001-9532-6078"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongjing Gu","raw_affiliation_strings":["Xidian University, Xian, Shaanxi, CN","Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"Xidian University, Xian, Shaanxi, CN","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066446904","display_name":"Xunwang Zhao","orcid":"https://orcid.org/0000-0001-6560-6781"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xunwang Zhao","raw_affiliation_strings":["Xidian University, Xian, Shaanxi, CN","ORCiD","Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"Xidian University, Xian, Shaanxi, CN","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100433662","display_name":"Yu Zhang","orcid":"https://orcid.org/0000-0003-0060-2661"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Zhang","raw_affiliation_strings":["Xidian University, Xian, Shaanxi, CN","Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"Xidian University, Xian, Shaanxi, CN","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100411968","display_name":"Hongwei Liu","orcid":"https://orcid.org/0000-0003-4046-163X"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwei Liu","raw_affiliation_strings":["Xidian University, Xian, Shaanxi, CN","National Laboratory of Radar Signal Processing, Xidian University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"Xidian University, Xian, Shaanxi, CN","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"National Laboratory of Radar Signal Processing, Xidian University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100752518"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.1588,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.52712842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"29784","last_page":"29792"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994999766349792,"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/T11383","display_name":"Advanced Antenna and Metasurface Technologies","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/solver","display_name":"Solver","score":0.8734866976737976},{"id":"https://openalex.org/keywords/lu-decomposition","display_name":"LU decomposition","score":0.7457863688468933},{"id":"https://openalex.org/keywords/impedance-parameters","display_name":"Impedance parameters","score":0.6704078912734985},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"Method of moments (probability theory)","score":0.6046326160430908},{"id":"https://openalex.org/keywords/computational-electromagnetics","display_name":"Computational electromagnetics","score":0.5415030717849731},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5262472033500671},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5145706534385681},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.49404624104499817},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4596109390258789},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4572891294956207},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45410287380218506},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.45353057980537415},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4031163454055786},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38019293546676636},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.3639526069164276},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3403894901275635},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3138560354709625},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.30028432607650757},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24048548936843872},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.21337461471557617},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1902441680431366},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1459006369113922}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.8734866976737976},{"id":"https://openalex.org/C123213974","wikidata":"https://www.wikidata.org/wiki/Q833089","display_name":"LU decomposition","level":4,"score":0.7457863688468933},{"id":"https://openalex.org/C113805353","wikidata":"https://www.wikidata.org/wiki/Q13424600","display_name":"Impedance parameters","level":3,"score":0.6704078912734985},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.6046326160430908},{"id":"https://openalex.org/C206844423","wikidata":"https://www.wikidata.org/wiki/Q5157313","display_name":"Computational electromagnetics","level":3,"score":0.5415030717849731},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5262472033500671},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5145706534385681},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.49404624104499817},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4596109390258789},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4572891294956207},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45410287380218506},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.45353057980537415},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4031163454055786},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38019293546676636},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.3639526069164276},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3403894901275635},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3138560354709625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30028432607650757},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24048548936843872},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.21337461471557617},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1902441680431366},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1459006369113922},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2841005","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2841005","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a9d7ee462d0946568ebf6e3c846969f9","is_oa":true,"landing_page_url":"https://doaj.org/article/a9d7ee462d0946568ebf6e3c846969f9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 29784-29792 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2841005","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2841005","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1171687744","display_name":null,"funder_award_id":"2017M613068","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2621072898","display_name":null,"funder_award_id":"2015GGX101028","funder_id":"https://openalex.org/F4320338074","funder_display_name":"Government of Shandong Province"},{"id":"https://openalex.org/G3425676958","display_name":null,"funder_award_id":"2016YFE0121600","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5844342392","display_name":null,"funder_award_id":"U1501501","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320323230","display_name":"Xidian University","ror":"https://ror.org/05s92vm98"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320338074","display_name":"Government of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1515302430","https://openalex.org/W1893630050","https://openalex.org/W1921681872","https://openalex.org/W2012309011","https://openalex.org/W2021370706","https://openalex.org/W2033130314","https://openalex.org/W2047459755","https://openalex.org/W2049387919","https://openalex.org/W2104760562","https://openalex.org/W2117293168","https://openalex.org/W2163068304","https://openalex.org/W2163688235","https://openalex.org/W2497908328","https://openalex.org/W2624244002","https://openalex.org/W3202150774","https://openalex.org/W3203206031","https://openalex.org/W3216003845","https://openalex.org/W6801302578","https://openalex.org/W6801766956"],"related_works":["https://openalex.org/W2090423254","https://openalex.org/W1861966332","https://openalex.org/W1783143885","https://openalex.org/W1965917633","https://openalex.org/W2369832376","https://openalex.org/W2082212692","https://openalex.org/W2011793230","https://openalex.org/W3015215742","https://openalex.org/W2030401105","https://openalex.org/W1971733699"],"abstract_inverted_index":{"An":[0],"efficient":[1],"parallel":[2,42],"direct":[3],"solver":[4,121],"with":[5],"a":[6,39],"new":[7],"pivoting":[8,70],"scheme":[9],"is":[10,46,122],"presented":[11],"for":[12],"solving":[13,115],"impedance":[14,37],"matrix":[15],"equations":[16],"generated":[17],"by":[18],"the":[19,29,34,49,57,63,69,77,81,86,114,118],"higher-order":[20],"method":[21],"of":[22,33,76,85,117],"moments":[23],"in":[24,48,73],"high-frequency":[25],"electromagnetic":[26,88],"computation.":[27],"Given":[28],"diagonal":[30],"dominance":[31],"characteristic":[32],"dense":[35],"complex":[36,93],"matrices,":[38],"local-block":[40],"pivoted":[41],"LU":[43,66,120],"decomposition":[44],"algorithm":[45],"developed":[47],"solver,":[50,67],"which":[51],"requires":[52],"less":[53],"communication":[54,64],"time":[55,116],"than":[56],"Intel":[58],"math":[59],"kernel":[60],"library":[61],"and":[62,83,90,97],"avoiding":[65],"because":[68],"operations":[71],"execute":[72],"local":[74],"blocks":[75],"processes.":[78],"To":[79],"demonstrate":[80],"stability":[82],"performance":[84],"algorithm,":[87],"radiation":[89],"scattering":[91],"from":[92],"models":[94],"containing":[95],"metallic":[96],"dielectric":[98],"structures":[99],"are":[100,108],"computed.":[101],"When":[102],"up":[103],"to":[104],"1200":[105],"CPU":[106],"cores":[107],"used,":[109],"numerical":[110],"results":[111],"show":[112],"that":[113],"proposed":[119],"significantly":[123],"reduced.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}
