{"id":"https://openalex.org/W2111303227","doi":"https://doi.org/10.1080/00207160802033335","title":"An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations","display_name":"An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations","publication_year":2008,"publication_date":"2008-08-15","ids":{"openalex":"https://openalex.org/W2111303227","doi":"https://doi.org/10.1080/00207160802033335","mag":"2111303227"},"language":"en","primary_location":{"id":"doi:10.1080/00207160802033335","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160802033335","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5062182120","display_name":"Xavier Antoine","orcid":"https://orcid.org/0000-0002-6501-7757"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I9769675","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Nancy","ror":"https://ror.org/02rzzjk74","country_code":"FR","type":"education","lineage":["https://openalex.org/I9769675"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"X. Antoine","raw_affiliation_strings":["D\u00e9partement de G\u00e9nie Industriel , Institut National Polytechnique de Lorraine (INPL), Ecole Nationale Sup\u00e9rieure des Mines de Nancy , Nancy, France ; Institut Elie Cartan Nancy (IECN), Institut Elie Cartan UMR 7502, Nancy-Universit\u00e9, CNRS, INRIA, Universit\u00e9 Henri Poincar\u00e9 Nancy 1 , Vandoeuvre-l\u00e8s-Nancy, France","Institut Elie Cartan Nancy (IECN), Institut Elie Cartan UMR 7502, Nancy-Universit\u00e9, CNRS, INRIA, Universit\u00e9 Henri Poincar\u00e9 Nancy 1 , Vandoeuvre-l\u00e8s-Nancy, France","D\u00e9partement de G\u00e9nie Industriel , Institut National Polytechnique de Lorraine (INPL), Ecole Nationale Sup\u00e9rieure des Mines de Nancy , Nancy, France"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de G\u00e9nie Industriel , Institut National Polytechnique de Lorraine (INPL), Ecole Nationale Sup\u00e9rieure des Mines de Nancy , Nancy, France ; Institut Elie Cartan Nancy (IECN), Institut Elie Cartan UMR 7502, Nancy-Universit\u00e9, CNRS, INRIA, Universit\u00e9 Henri Poincar\u00e9 Nancy 1 , Vandoeuvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut Elie Cartan Nancy (IECN), Institut Elie Cartan UMR 7502, Nancy-Universit\u00e9, CNRS, INRIA, Universit\u00e9 Henri Poincar\u00e9 Nancy 1 , Vandoeuvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"D\u00e9partement de G\u00e9nie Industriel , Institut National Polytechnique de Lorraine (INPL), Ecole Nationale Sup\u00e9rieure des Mines de Nancy , Nancy, France","institution_ids":["https://openalex.org/I9769675","https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067160592","display_name":"Yassine Boubendir","orcid":"https://orcid.org/0000-0001-5454-4976"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Boubendir","raw_affiliation_strings":["School of Mathematics, University of Minnesota , S. E. Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota , S. E. Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062182120"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I3017839442","https://openalex.org/I90183372","https://openalex.org/I9769675"],"apc_list":null,"apc_paid":null,"fwci":0.9376,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.7568013,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"85","issue":"10","first_page":"1473","last_page":"1490"},"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":0.9994000196456909,"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":0.9965000152587891,"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":0.9538074731826782},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.7820683121681213},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.72330641746521},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.7061864733695984},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.640483021736145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5421231389045715},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5122963190078735},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.45275306701660156},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42875024676322937},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.42493510246276855},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40100613236427307},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3199921250343323},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.17782676219940186},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1410469114780426},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08792704343795776}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9538074731826782},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.7820683121681213},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.72330641746521},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.7061864733695984},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.640483021736145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5421231389045715},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5122963190078735},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.45275306701660156},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42875024676322937},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.42493510246276855},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40100613236427307},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3199921250343323},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.17782676219940186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1410469114780426},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08792704343795776},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207160802033335","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160802033335","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00141045v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00141045","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":"International Journal of Computer Mathematics, 2008, 85 (10), pp.1473-1490. &#x27E8;10.1080/00207160802033335&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W75774804","https://openalex.org/W153270717","https://openalex.org/W207909860","https://openalex.org/W418832582","https://openalex.org/W606682214","https://openalex.org/W1506342804","https://openalex.org/W1507437630","https://openalex.org/W1523113578","https://openalex.org/W1574943236","https://openalex.org/W1602383637","https://openalex.org/W1607836799","https://openalex.org/W1668356818","https://openalex.org/W1950512716","https://openalex.org/W1966049298","https://openalex.org/W1966828807","https://openalex.org/W1983448544","https://openalex.org/W2010076994","https://openalex.org/W2021599631","https://openalex.org/W2039408750","https://openalex.org/W2047292749","https://openalex.org/W2048684642","https://openalex.org/W2050054841","https://openalex.org/W2050662062","https://openalex.org/W2061237976","https://openalex.org/W2068598289","https://openalex.org/W2070291256","https://openalex.org/W2089068939","https://openalex.org/W2129814364","https://openalex.org/W2182274314","https://openalex.org/W2500846120","https://openalex.org/W2795407492","https://openalex.org/W3093760728","https://openalex.org/W4237340195"],"related_works":["https://openalex.org/W2042846224","https://openalex.org/W3157581606","https://openalex.org/W2113830538","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"],"abstract_inverted_index":{"The":[0,17],"solution":[1],"of":[2,12,26,42,64,70],"the":[3,40,52,68],"two-dimensional":[4],"scattering":[5],"problem":[6],"for":[7,60],"an":[8,45],"homogeneous":[9],"dielectric":[10],"cylinder":[11],"arbitrary":[13],"shape":[14],"is":[15,20,55],"considered.":[16],"numerical":[18,58],"approach":[19],"based":[21,50],"on":[22,51],"a":[23,31,61],"two-field":[24],"system":[25],"integral":[27],"equations":[28],"solved":[29],"by":[30],"Krylov":[32],"subspace":[33],"method.":[34],"To":[35],"accelerate":[36],"and":[37,47],"to":[38],"improve":[39],"convergence":[41],"this":[43,71],"solver,":[44],"efficient":[46],"robust":[48],"preconditioner,":[49],"Calder\u00f3n":[53],"formulae,":[54],"developed.":[56],"Several":[57],"simulations,":[59],"wide":[62],"range":[63],"physical":[65],"parameters,":[66],"validating":[67],"choice":[69],"preconditioner":[72],"are":[73],"presented.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-22T08:09:32.410652","created_date":"2025-10-10T00:00:00"}
