{"id":"https://openalex.org/W2052247014","doi":"https://doi.org/10.1137/050634943","title":"A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems","display_name":"A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2052247014","doi":"https://doi.org/10.1137/050634943","mag":"2052247014"},"language":"en","primary_location":{"id":"doi:10.1137/050634943","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050634943","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/A5002273642","display_name":"Francesco P. Andriulli","orcid":"https://orcid.org/0000-0001-8359-7348"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"F. P. Andriulli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024869323","display_name":"Anita Tabacco","orcid":"https://orcid.org/0000-0001-5731-4885"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Tabacco","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5034612630","display_name":"G. Vecchi","orcid":"https://orcid.org/0000-0003-0798-5431"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Vecchi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002273642"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5242,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.94920733,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"29","issue":"1","first_page":"1","last_page":"21"},"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":0.9998999834060669,"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":0.9995999932289124,"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/mathematics","display_name":"Mathematics","score":0.7907335162162781},{"id":"https://openalex.org/keywords/solenoidal-vector-field","display_name":"Solenoidal vector field","score":0.7137514352798462},{"id":"https://openalex.org/keywords/electric-field-integral-equation","display_name":"Electric-field integral equation","score":0.6135773658752441},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6104686260223389},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.554206132888794},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5321143269538879},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.5136496424674988},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5080232620239258},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4729801416397095},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.42892518639564514},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.36169230937957764},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35282063484191895},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.34715554118156433},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.3035959005355835},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2649392783641815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10148009657859802},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.0984908938407898}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7907335162162781},{"id":"https://openalex.org/C7451433","wikidata":"https://www.wikidata.org/wiki/Q1265039","display_name":"Solenoidal vector field","level":3,"score":0.7137514352798462},{"id":"https://openalex.org/C3537527","wikidata":"https://www.wikidata.org/wiki/Q5357276","display_name":"Electric-field integral equation","level":3,"score":0.6135773658752441},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6104686260223389},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.554206132888794},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5321143269538879},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.5136496424674988},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5080232620239258},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4729801416397095},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.42892518639564514},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.36169230937957764},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35282063484191895},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.34715554118156433},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.3035959005355835},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2649392783641815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10148009657859802},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.0984908938407898},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/050634943","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050634943","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:CiteSeerX.psu:10.1.1.486.6233","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.486.6233","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://calvino.polito.it/ricerca/2004/pdf/30_2004/art_30_2004.pdf","raw_type":"text"},{"id":"pmh:oai:porto.polito.it:1406791","is_oa":false,"landing_page_url":"http://porto.polito.it/1406791/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:1064-8275","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W53227348","https://openalex.org/W315413564","https://openalex.org/W600139552","https://openalex.org/W1509975853","https://openalex.org/W1517670975","https://openalex.org/W1569698457","https://openalex.org/W1583049648","https://openalex.org/W1827406637","https://openalex.org/W1984999240","https://openalex.org/W2019099900","https://openalex.org/W2020919250","https://openalex.org/W2021810545","https://openalex.org/W2024866895","https://openalex.org/W2037925816","https://openalex.org/W2049287824","https://openalex.org/W2054380687","https://openalex.org/W2062024414","https://openalex.org/W2064909895","https://openalex.org/W2078200357","https://openalex.org/W2101939470","https://openalex.org/W2112931026","https://openalex.org/W2123779970","https://openalex.org/W2125944488","https://openalex.org/W2128184568","https://openalex.org/W2128993300","https://openalex.org/W2131434502","https://openalex.org/W2136275087","https://openalex.org/W2139513162","https://openalex.org/W2156828310","https://openalex.org/W2160398038","https://openalex.org/W2168388227","https://openalex.org/W2172300519"],"related_works":["https://openalex.org/W2091615010","https://openalex.org/W1967171153","https://openalex.org/W2149614748","https://openalex.org/W2035581427","https://openalex.org/W3105595721","https://openalex.org/W2091761309","https://openalex.org/W2999867175","https://openalex.org/W2804997972","https://openalex.org/W2761837816","https://openalex.org/W2009600037"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,54],"a":[4,29,55],"multiresolution":[5,30,88],"approach":[6],"to":[7,61,71,84,99,109],"the":[8,12,20,76,86,101,105,111],"finite\u2010element":[9,80],"solution":[10],"of":[11,19,32,36,49,104,115],"electric":[13],"field":[14],"integral":[15],"equation":[16],"(EFIE)":[17],"formulation":[18],"boundary":[21],"value":[22],"problem":[23],"for":[24,93],"Maxwell":[25],"equations.":[26],"After":[27],"defining":[28],"set":[31],"discretized":[33],"spaces,":[34],"each":[35],"them":[37,73],"is":[38,59],"first":[39,63],"separated":[40],"into":[41,75],"solenoidal":[42],"and":[43,69,108],"nonsolenoidal":[44],"complementary":[45],"spaces.":[46],"The":[47],"possibility":[48],"obtaining":[50],"these":[51],"two":[52,64,77],"spaces":[53],"scalar\u2010to\u2010vector":[56],"space":[57],"mapping":[58],"used":[60],"consider":[62],"separate":[65],"scalar":[66],"wavelet":[67],"decompositions,":[68],"then":[70],"transform":[72],"properly":[74],"desired":[78],"vector":[79],"sets,":[81],"finally":[82],"joined":[83],"obtain":[85],"complete":[87],"basis.":[89],"Numerical":[90],"results,":[91],"obtained":[92],"real":[94],"life":[95],"antennas,":[96],"are":[97],"presented":[98],"verify":[100],"actual":[102],"sparsity":[103],"system":[106],"matrix":[107],"show":[110],"fast":[112],"convergence":[113],"behavior":[114],"iterative":[116],"solvers.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}