{"id":"https://openalex.org/W2016557146","doi":"https://doi.org/10.1137/09076101x","title":"Iterative Near-Field Preconditioner for the Multilevel Fast Multipole Algorithm","display_name":"Iterative Near-Field Preconditioner for the Multilevel Fast Multipole Algorithm","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2016557146","doi":"https://doi.org/10.1137/09076101x","mag":"2016557146"},"language":"en","primary_location":{"id":"doi:10.1137/09076101x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/09076101x","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":true,"oa_status":"green","oa_url":"https://repository.bilkent.edu.tr/bitstreams/3846fd4a-9f2f-47b9-aa9d-929f2ac3ba7f/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044832250","display_name":"Levent G\u00fcrel","orcid":"https://orcid.org/0000-0001-7289-3723"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Levent G\u00fcrel","raw_affiliation_strings":["lgurel@bilkent.edu.tr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"lgurel@bilkent.edu.tr#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110026826","display_name":"T. Malas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tahr Malas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0915,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.76305717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"4","first_page":"1929","last_page":"1949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":1.0,"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":1.0,"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":0.9991999864578247,"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/T11851","display_name":"Electromagnetic Compatibility and Measurements","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.9514912962913513},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.792865514755249},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7821227312088013},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6816698312759399},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5053473114967346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5024268627166748},{"id":"https://openalex.org/keywords/incomplete-lu-factorization","display_name":"Incomplete LU factorization","score":0.4990668296813965},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4965103268623352},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.4945480525493622},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.48281368613243103},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4683733880519867},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4209863543510437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3764972984790802},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.35149168968200684},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.22891142964363098}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9514912962913513},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.792865514755249},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7821227312088013},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6816698312759399},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5053473114967346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5024268627166748},{"id":"https://openalex.org/C134978465","wikidata":"https://www.wikidata.org/wiki/Q1654069","display_name":"Incomplete LU factorization","level":4,"score":0.4990668296813965},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4965103268623352},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.4945480525493622},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.48281368613243103},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4683733880519867},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4209863543510437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3764972984790802},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.35149168968200684},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.22891142964363098},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/09076101x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/09076101x","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"},{"id":"pmh:oai:repository.bilkent.edu.tr:11693/22253","is_oa":true,"landing_page_url":"http://hdl.handle.net/11693/22253","pdf_url":"https://repository.bilkent.edu.tr/bitstreams/3846fd4a-9f2f-47b9-aa9d-929f2ac3ba7f/download","source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:repository.bilkent.edu.tr:11693/22253","is_oa":true,"landing_page_url":"http://hdl.handle.net/11693/22253","pdf_url":"https://repository.bilkent.edu.tr/bitstreams/3846fd4a-9f2f-47b9-aa9d-929f2ac3ba7f/download","source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5719271182","display_name":"Paralel elektromanyetik hesaplamalarla nano-optik g\u00f6r\u00fcnt\u00fcleme sistemlerinin modellenmesi (PEMNOS)","funder_award_id":"105E172","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"}],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"},{"id":"https://openalex.org/F4320322628","display_name":"T\u00fcrkiye Bilimler Akademisi","ror":"https://ror.org/00aqt9352"},{"id":"https://openalex.org/F4320324280","display_name":"ASELSAN","ror":"https://ror.org/04knh8e66"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2016557146.pdf","grobid_xml":"https://content.openalex.org/works/W2016557146.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1492230188","https://openalex.org/W1563154332","https://openalex.org/W1613455162","https://openalex.org/W1964757393","https://openalex.org/W1977553864","https://openalex.org/W1980627823","https://openalex.org/W1981220107","https://openalex.org/W1994099279","https://openalex.org/W1995194190","https://openalex.org/W2040258809","https://openalex.org/W2040665936","https://openalex.org/W2050662062","https://openalex.org/W2054380687","https://openalex.org/W2065121047","https://openalex.org/W2068758216","https://openalex.org/W2080623156","https://openalex.org/W2083206954","https://openalex.org/W2089210221","https://openalex.org/W2117088022","https://openalex.org/W2125322382","https://openalex.org/W2128556617","https://openalex.org/W2128644421","https://openalex.org/W2129814364","https://openalex.org/W2133397108","https://openalex.org/W2135486210","https://openalex.org/W2135837798","https://openalex.org/W2142196052","https://openalex.org/W2150190025","https://openalex.org/W2152335492","https://openalex.org/W2154089789","https://openalex.org/W2156588317","https://openalex.org/W2159190344","https://openalex.org/W2164374667","https://openalex.org/W2167193748","https://openalex.org/W2169541168","https://openalex.org/W4247031385"],"related_works":["https://openalex.org/W2042846224","https://openalex.org/W2358905935","https://openalex.org/W2942315554","https://openalex.org/W2804461272","https://openalex.org/W2040391781","https://openalex.org/W2382988560","https://openalex.org/W2024149451","https://openalex.org/W4322732133","https://openalex.org/W2561347830","https://openalex.org/W2474876208"],"abstract_inverted_index":{"For":[0],"iterative":[1,95,132,155,190,205],"solutions":[2,193],"of":[3,32,73,157,194,201,215,226],"large":[4],"and":[5,107,117,217,224],"difficult":[6,222],"integral-equation":[7,219],"problems":[8,197,220],"in":[9,78,93,135],"computational":[10],"electromagnetics":[11],"using":[12,153],"the":[13,24,33,37,43,50,65,71,79,86,118,124,136,141,154,158,165,181,188,199,202,212],"multilevel":[14],"fast":[15],"multipole":[16],"algorithm":[17],"(MLFMA),":[18],"preconditioners":[19],"are":[20],"usually":[21],"built":[22],"from":[23,180],"available":[25],"sparse":[26],"near-field":[27,34,80,88,119,159,182,206],"matrix.":[28,81],"The":[29],"exact":[30],"solution":[31,126,156,214],"system":[35,160],"for":[36,97,164],"preconditioning":[38,98,125],"operation":[39],"is":[40,67,121,146,169],"infeasible":[41],"because":[42],"LU":[44],"factors":[45,56],"lose":[46],"their":[47],"sparsity":[48,66],"during":[49],"factorization.":[51],"To":[52],"prevent":[53],"this,":[54],"incomplete":[55],"or":[57],"approximate":[58],"inverses":[59],"can":[60,90,101,127],"be":[61,91,102,128],"generated":[62],"so":[63],"that":[64,140],"preserved,":[68],"but":[69],"at":[70],"expense":[72],"losing":[74],"some":[75],"information":[76],"stored":[77],"As":[82],"an":[83,94],"alternative":[84],"strategy,":[85,150],"entire":[87],"matrix":[89,120,183],"used":[92],"solver":[96,145],"purposes.":[99],"This":[100],"accomplished":[103],"with":[104],"low":[105],"cost":[106],"complexity":[108],"since":[109],"Krylov":[110,143],"subspace":[111,144],"solvers":[112],"merely":[113],"require":[114],"matrix-vector":[115],"multiplications":[116],"sparse.":[122],"Therefore,":[123],"obtained":[129,179],"by":[130],"another":[131],"process,":[133],"nested":[134,204],"outer":[137,142],"solver,":[138],"provided":[139],"flexible.":[147],"With":[148],"this":[149],"we":[151,174],"propose":[152],"as":[161,184],"a":[162,176,185],"preconditioner":[163,178,186],"original":[166],"system,":[167],"which":[168],"also":[170],"solved":[171],"iteratively.":[172],"Furthermore,":[173],"use":[175],"fixed":[177],"to":[187,210],"inner":[189],"solver.":[191],"MLFMA":[192],"several":[195],"model":[196],"establish":[198],"effectiveness":[200],"proposed":[203],"preconditioner,":[207],"allowing":[208],"us":[209],"report":[211],"efficient":[213],"electric-field":[216],"combined-field":[218],"involving":[221],"geometries":[223],"millions":[225],"unknowns.":[227]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
