{"id":"https://openalex.org/W2962467365","doi":"https://doi.org/10.1137/19m1274365","title":"A Higher Order Perturbation Approach for Electromagnetic Scattering Problems on Random Domains","display_name":"A Higher Order Perturbation Approach for Electromagnetic Scattering Problems on Random Domains","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2962467365","doi":"https://doi.org/10.1137/19m1274365","mag":"2962467365"},"language":"en","primary_location":{"id":"doi:10.1137/19m1274365","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1274365","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"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/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.05501","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012055655","display_name":"J\u00fcrgen D\u00f6lz","orcid":"https://orcid.org/0000-0003-3322-1187"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J\u00fcrgen D\u00f6lz","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012055655"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0031746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"2","first_page":"748","last_page":"774"},"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":0.9997000098228455,"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/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"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/discretization","display_name":"Discretization","score":0.6788299083709717},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6374399662017822},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6260194778442383},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.554298460483551},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5282819867134094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5170319676399231},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5086989998817444},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3599569499492645},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11822909116744995},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11711388826370239}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6788299083709717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6374399662017822},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6260194778442383},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.554298460483551},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5282819867134094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5170319676399231},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5086989998817444},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3599569499492645},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11822909116744995},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11711388826370239}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/19m1274365","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1274365","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"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/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},{"id":"mag:2962467365","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.05501","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1907.05501","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.05501","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"mag:2962467365","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.05501","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5253088208","display_name":null,"funder_award_id":"174987","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W49828199","https://openalex.org/W188211552","https://openalex.org/W1489096603","https://openalex.org/W1523113578","https://openalex.org/W1599063302","https://openalex.org/W1602383637","https://openalex.org/W1602760118","https://openalex.org/W1978501336","https://openalex.org/W1985681033","https://openalex.org/W1990384155","https://openalex.org/W1994351320","https://openalex.org/W1997321933","https://openalex.org/W1999439867","https://openalex.org/W2008193785","https://openalex.org/W2020981412","https://openalex.org/W2027832430","https://openalex.org/W2030930825","https://openalex.org/W2034736441","https://openalex.org/W2053576040","https://openalex.org/W2070126433","https://openalex.org/W2073486813","https://openalex.org/W2100863906","https://openalex.org/W2123196638","https://openalex.org/W2151084831","https://openalex.org/W2281964624","https://openalex.org/W2298381282","https://openalex.org/W2336649755","https://openalex.org/W2483420784","https://openalex.org/W2614469751","https://openalex.org/W2735105826","https://openalex.org/W2769366842","https://openalex.org/W2773416920","https://openalex.org/W2798461040","https://openalex.org/W2807009011","https://openalex.org/W2826330567","https://openalex.org/W2884290129","https://openalex.org/W2887235653","https://openalex.org/W2889338203","https://openalex.org/W2913616453","https://openalex.org/W2963164483","https://openalex.org/W2977923489","https://openalex.org/W2982431646","https://openalex.org/W3018481336","https://openalex.org/W3024325199","https://openalex.org/W4255975175"],"related_works":["https://openalex.org/W1964239095","https://openalex.org/W2810430258","https://openalex.org/W2937874491","https://openalex.org/W1994624929","https://openalex.org/W2021402065","https://openalex.org/W2906724744","https://openalex.org/W2068964505","https://openalex.org/W2330790566","https://openalex.org/W2973820656","https://openalex.org/W1965099215","https://openalex.org/W3083192266","https://openalex.org/W1973755791","https://openalex.org/W2010818986","https://openalex.org/W3192377237","https://openalex.org/W3081799276","https://openalex.org/W2981506941","https://openalex.org/W2208061819","https://openalex.org/W2946823615","https://openalex.org/W2568489671","https://openalex.org/W2120760360"],"abstract_inverted_index":{"We":[0,108],"consider":[1],"time-harmonic":[2],"electromagnetic":[3],"scattering":[4,59],"problems":[5],"on":[6,22,100],"perfectly":[7],"conducting":[8],"scatterers":[9],"with":[10,78],"uncertain":[11],"shape.":[12],"Thus,":[13],"the":[14,23,26,30,44,47,53,58,66,81,85,90,101],"scattered":[15,48],"field":[16],"will":[17],"also":[18],"be":[19,106],"uncertain.":[20],"Based":[21],"knowledge":[24],"of":[25,29,46,57,84],"two-point":[27],"correlation":[28],"domain":[31,86,102],"boundary":[32,103,116],"variations":[33],"around":[34],"a":[35,40,62,96],"reference":[36],"domain,":[37],"we":[38,51],"derive":[39],"perturbation":[41,82],"analysis":[42],"for":[43,61],"mean":[45],"field.":[49],"Therefore,":[50],"compute":[52,89],"second":[54,92],"shape":[55],"derivative":[56],"problem":[60],"single":[63],"perturbation.":[64],"Taking":[65],"mean,":[67],"this":[68],"leads":[69],"to":[70,80,105],"an":[71],"at":[72],"least":[73],"third":[74],"order":[75,93],"accurate":[76],"approximation":[77],"respect":[79],"amplitude":[83],"variations.":[87],"To":[88],"required":[91],"correction":[94],"term,":[95],"tensor":[97],"product":[98],"equation":[99],"has":[104],"solved.":[107],"discuss":[109],"its":[110],"discretization":[111],"and":[112],"efficient":[113],"solution":[114],"using":[115],"integral":[117],"equations.":[118],"Numerical":[119],"experiments":[120],"in":[121],"three":[122],"dimensions":[123],"are":[124],"presented.":[125]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
