{"id":"https://openalex.org/W4377087994","doi":"https://doi.org/10.1137/22m1485425","title":"A Spectral Decomposition Method to Approximate Dirichlet-to-Neumann Maps in Complicated Waveguides","display_name":"A Spectral Decomposition Method to Approximate Dirichlet-to-Neumann Maps in Complicated Waveguides","publication_year":2023,"publication_date":"2023-05-19","ids":{"openalex":"https://openalex.org/W4377087994","doi":"https://doi.org/10.1137/22m1485425"},"language":"en","primary_location":{"id":"doi:10.1137/22m1485425","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1485425","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5065643575","display_name":"Ruming Zhang","orcid":"https://orcid.org/0000-0003-2336-1020"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ruming Zhang","raw_affiliation_strings":["Institute of Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Karlsruhe, 76131, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2336-1020","affiliations":[{"raw_affiliation_string":"Institute of Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Karlsruhe, 76131, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065643575"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0400717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"61","issue":"3","first_page":"1195","last_page":"1217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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"}},"topics":[{"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9994999766349792,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.7781673669815063},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.689568817615509},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6612846851348877},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5972679853439331},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5932169556617737},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5379268527030945},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5330411791801453},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5134933590888977},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.41878628730773926},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3566195070743561},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.2672118842601776}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7781673669815063},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.689568817615509},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6612846851348877},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5972679853439331},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5932169556617737},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5379268527030945},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5330411791801453},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5134933590888977},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.41878628730773926},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3566195070743561},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2672118842601776},{"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/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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1485425","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1485425","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3049763903","display_name":null,"funder_award_id":"258734477 - SFB 1173","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W388841314","https://openalex.org/W580567146","https://openalex.org/W803542422","https://openalex.org/W1969309300","https://openalex.org/W1986119538","https://openalex.org/W1990535704","https://openalex.org/W2015877425","https://openalex.org/W2019466406","https://openalex.org/W2038993381","https://openalex.org/W2047377882","https://openalex.org/W2102384232","https://openalex.org/W2103806319","https://openalex.org/W2126950425","https://openalex.org/W2143932135","https://openalex.org/W2155193887","https://openalex.org/W2256669603","https://openalex.org/W2566228990","https://openalex.org/W2726615376","https://openalex.org/W2749314581","https://openalex.org/W2795744704","https://openalex.org/W3104884639","https://openalex.org/W3111536438","https://openalex.org/W3129322472","https://openalex.org/W4245698330","https://openalex.org/W4245719435","https://openalex.org/W4292166829","https://openalex.org/W4300293005"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W138907054","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2044869171","https://openalex.org/W2036329708"],"abstract_inverted_index":{"In":[0],"this":[1,116],"paper,":[2],"we":[3,53,71],"propose":[4],"a":[5,46,77,102,106,126],"new":[6],"spectral":[7],"decomposition":[8],"method":[9],"to":[10,29,85,145],"simulate":[11],"waves":[12],"propagating":[13],"in":[14,115],"complicated":[15],"waveguides.":[16],"For":[17],"the":[18,31,39,56,64,68,73,81,89,92,96,110,137,147,150],"numerical":[19,138,141],"solutions":[20],"of":[21,48,67,91,149],"waveguide":[22],"scattering":[23],"problems,":[24],"an":[25],"important":[26],"task":[27],"is":[28,83,99,112,122,133],"approximate":[30,72],"Dirichlet-to-Neumann":[32],"(DtN)":[33],"map":[34,58,75],"efficiently.":[35],"From":[36,63],"previous":[37],"results,":[38],"physical":[40],"solution":[41],"can":[42,54],"be":[43],"decomposed":[44],"into":[45,101],"family":[47],"generalized":[49,69],"eigenfunctions,":[50,70],"and":[51,80,105,140],"thus":[52],"write":[55],"DtN":[57,74,94],"explicitly":[59],"by":[60,76,125],"these":[61],"functions.":[62],"exponential":[65],"decay":[66],"finite":[78,127],"truncation":[79],"approximation":[82],"proved":[84],"converge":[86],"exponentially.":[87],"With":[88],"help":[90],"truncated":[93,100,120],"map,":[95],"unbounded":[97],"domain":[98],"bounded":[103,117],"one,":[104],"variational":[107],"formulation":[108],"for":[109,136],"problem":[111,121],"set":[113],"up":[114],"domain.":[118],"The":[119,130],"then":[123],"solved":[124],"element":[128],"method.":[129],"error":[131],"estimation":[132],"also":[134],"provided":[135],"algorithm,":[139],"examples":[142],"are":[143],"shown":[144],"illustrate":[146],"efficiency":[148],"algorithm.":[151]},"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
