{"id":"https://openalex.org/W1991009599","doi":"https://doi.org/10.1137/110848268","title":"Certified Reduced Basis Method for the Electric Field Integral Equation","display_name":"Certified Reduced Basis Method for the Electric Field Integral Equation","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1991009599","doi":"https://doi.org/10.1137/110848268","mag":"1991009599"},"language":"en","primary_location":{"id":"doi:10.1137/110848268","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110848268","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":"http://infoscience.epfl.ch/record/190445","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037681511","display_name":"Jan S. Hesthaven","orcid":"https://orcid.org/0000-0001-8074-1586"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. S. Hesthaven","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036554395","display_name":"Benjamin Stamm","orcid":"https://orcid.org/0000-0003-3375-483X"},"institutions":[{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Stamm","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions","institution_ids":["https://openalex.org/I4210158291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089603817","display_name":"Su-Jiang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"S. Zhang","raw_affiliation_strings":["Dalian Univ of Tech"],"affiliations":[{"raw_affiliation_string":"Dalian Univ of Tech","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037681511"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4898,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.89557163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"34","issue":"3","first_page":"A1777","last_page":"A1799"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9997000098228455,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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/estimator","display_name":"Estimator","score":0.6758205890655518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6190552711486816},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5891703367233276},{"id":"https://openalex.org/keywords/electric-field-integral-equation","display_name":"Electric-field integral equation","score":0.574404776096344},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5393075942993164},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.48490291833877563},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4808943271636963},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.4731800854206085},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43293577432632446},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.427801251411438},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3739262819290161},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17551282048225403}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6758205890655518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6190552711486816},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5891703367233276},{"id":"https://openalex.org/C3537527","wikidata":"https://www.wikidata.org/wiki/Q5357276","display_name":"Electric-field integral equation","level":3,"score":0.574404776096344},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5393075942993164},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.48490291833877563},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4808943271636963},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.4731800854206085},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43293577432632446},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.427801251411438},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3739262819290161},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17551282048225403},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/110848268","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110848268","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:HAL:hal-01090932v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01090932","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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, 2012, 34 (3), pp.A1777-A1799. &#x27E8;10.1137/110848268&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:infoscience.epfl.ch:190445","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/190445","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:publications.rwth-aachen.de:710128","is_oa":false,"landing_page_url":"http://publications.rwth-aachen.de/search?p=id:%22RWTH-CONV-220032%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"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 34(3), A1777-A1799 (2012). doi:10.1137/110848268","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:190445","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/190445","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1970402902","https://openalex.org/W1976653974","https://openalex.org/W2002985909","https://openalex.org/W2008193785","https://openalex.org/W2044178408","https://openalex.org/W2052690618","https://openalex.org/W2083705021","https://openalex.org/W2136174028","https://openalex.org/W2140970636"],"related_works":["https://openalex.org/W2096568474","https://openalex.org/W4389626794","https://openalex.org/W2910745395","https://openalex.org/W2909522479","https://openalex.org/W2526252530","https://openalex.org/W2894107135","https://openalex.org/W2766060137","https://openalex.org/W1522849463","https://openalex.org/W1555582805","https://openalex.org/W2097580102"],"abstract_inverted_index":{"In":[0,45],"[B.":[1],"Fares":[2],"et":[3],"al.,":[4],"J.":[5],"Comput.":[6],"Phys.,":[7],"230":[8],"(2011),":[9],"pp.":[10],"5532--5555],":[11],"a":[12,34,36,54,62,65,88,112],"reduced":[13,102],"basis":[14,103],"method":[15,28,74,158],"(RBM)":[16],"for":[17,40,57,160,170],"the":[18,25,41,58,72,77,82,93,98,101,106,115,123,138,149,152,171,175,179],"electric":[19],"field":[20],"integral":[21],"equation":[22],"(EFIE)":[23],"using":[24],"boundary":[26,107,117],"element":[27,108,118],"(BEM)":[29],"is":[30,75,84,111,142,163],"developed,":[31],"based":[32,60],"on":[33,61],"simplified":[35],"posteriori":[37,66],"error":[38,95,153],"estimator":[39],"greedy-based":[42],"snapshot":[43],"selection.":[44],"this":[46,50,135],"paper,":[47],"we":[48,120],"extend":[49],"work":[51,136],"and":[52,105,133,144,167,173],"propose":[53],"certified":[55,73,176],"RBM":[56,177],"EFIE":[59,83],"mathematically":[63],"rigorous":[64],"estimator.":[67,154],"A":[68,155],"central":[69],"difficulty":[70],"of":[71,81,97,114,151],"that":[76,122],"intrinsic":[78,124],"solution":[79,104],"space":[80],"${\\boldsymbol{H}^{-1/2}_{{\\rm":[85],"div}}(\\Gamma)}$,":[86],"inducing":[87],"relatively":[89],"complicated":[90],"norm.":[91],"Since":[92],"measured":[94],"consists":[96],"difference":[99],"between":[100],"solution,":[109],"which":[110,141],"member":[113],"discrete":[116],"space,":[119],"clarify":[121],"norm":[125,132],"can":[126],"be":[127],"replaced":[128],"by":[129],"an":[130],"alternative":[131],"in":[134,165],"use":[137],"$\\boldsymbol{H}({\\rm":[139],"div})$-norm,":[140],"computable":[143],"demonstrated":[145],"to":[146],"not":[147],"degrade":[148],"quality":[150],"successive":[156],"constraint":[157],"(SCM)":[159],"complex":[161],"matrices":[162],"discussed":[164],"detail,":[166],"numerical":[168],"tests":[169],"SCM":[172],"then":[174],"confirm":[178],"analysis.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
