{"id":"https://openalex.org/W3182374780","doi":"https://doi.org/10.1137/21m1460776","title":"On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems","display_name":"On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems","publication_year":2022,"publication_date":"2022-08-01","ids":{"openalex":"https://openalex.org/W3182374780","doi":"https://doi.org/10.1137/21m1460776","mag":"3182374780"},"language":"en","primary_location":{"id":"doi:10.1137/21m1460776","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1460776","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/A5031079811","display_name":"Luca Desiderio","orcid":"https://orcid.org/0000-0002-3924-0939"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Luca Desiderio","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3924-0939","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066550758","display_name":"Silvia Falletta","orcid":"https://orcid.org/0000-0002-4957-3972"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Silvia Falletta","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4957-3972","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022247002","display_name":"Matteo Ferrari","orcid":"https://orcid.org/0000-0002-2577-1421"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matteo Ferrari","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2577-1421","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5009425730","display_name":"L. Scuderi","orcid":"https://orcid.org/0000-0002-1685-9608"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Letizia Scuderi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031079811"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9936,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.83517884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"60","issue":"4","first_page":"2099","last_page":"2124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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":0.9997000098228455,"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":0.8017736673355103},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.7414883375167847},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.690956711769104},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.6090519428253174},{"id":"https://openalex.org/keywords/robin-boundary-condition","display_name":"Robin boundary condition","score":0.6077602505683899},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5580083131790161},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.5554510354995728},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5378974676132202},{"id":"https://openalex.org/keywords/boundary-knot-method","display_name":"Boundary knot method","score":0.5263092517852783},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5241734981536865},{"id":"https://openalex.org/keywords/method-of-fundamental-solutions","display_name":"Method of fundamental solutions","score":0.5207517147064209},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4875178039073944},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.48277154564857483},{"id":"https://openalex.org/keywords/poincar\u00e9\u2013steklov-operator","display_name":"Poincar\u00e9\u2013Steklov operator","score":0.4654366075992584},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4511040449142456},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.4309495687484741},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.4274100363254547},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.4175180196762085},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0743948221206665}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8017736673355103},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.7414883375167847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.690956711769104},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.6090519428253174},{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.6077602505683899},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5580083131790161},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.5554510354995728},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5378974676132202},{"id":"https://openalex.org/C52890695","wikidata":"https://www.wikidata.org/wiki/Q4949966","display_name":"Boundary knot method","level":4,"score":0.5263092517852783},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5241734981536865},{"id":"https://openalex.org/C48395688","wikidata":"https://www.wikidata.org/wiki/Q6823714","display_name":"Method of fundamental solutions","level":5,"score":0.5207517147064209},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4875178039073944},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.48277154564857483},{"id":"https://openalex.org/C65826597","wikidata":"https://www.wikidata.org/wiki/Q17099589","display_name":"Poincar\u00e9\u2013Steklov operator","level":5,"score":0.4654366075992584},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4511040449142456},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.4309495687484741},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.4274100363254547},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.4175180196762085},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0743948221206665},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1460776","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1460776","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":[{"display_name":"Affordable and clean energy","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G5190598130","display_name":null,"funder_award_id":"CUP E11G18000350001","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W79277417","https://openalex.org/W156564344","https://openalex.org/W1537183504","https://openalex.org/W1585842086","https://openalex.org/W1589236075","https://openalex.org/W1903695761","https://openalex.org/W2001067676","https://openalex.org/W2006000775","https://openalex.org/W2010549570","https://openalex.org/W2012343452","https://openalex.org/W2019517543","https://openalex.org/W2029140879","https://openalex.org/W2047049848","https://openalex.org/W2049945147","https://openalex.org/W2051254766","https://openalex.org/W2054471368","https://openalex.org/W2065286616","https://openalex.org/W2066240717","https://openalex.org/W2111086304","https://openalex.org/W2112311198","https://openalex.org/W2119306252","https://openalex.org/W2119639769","https://openalex.org/W2168914934","https://openalex.org/W2300243767","https://openalex.org/W2496081756","https://openalex.org/W2534431241","https://openalex.org/W2582539516","https://openalex.org/W2684097608","https://openalex.org/W2759757821","https://openalex.org/W2803854261","https://openalex.org/W2807550694","https://openalex.org/W2870055748","https://openalex.org/W2905881062","https://openalex.org/W2912098171","https://openalex.org/W2963762466","https://openalex.org/W2964307594","https://openalex.org/W2965742233","https://openalex.org/W2971940860","https://openalex.org/W2977056420","https://openalex.org/W2977727713","https://openalex.org/W2984446512","https://openalex.org/W2988047443","https://openalex.org/W3033930912","https://openalex.org/W3034994174","https://openalex.org/W3039260798","https://openalex.org/W3039720747","https://openalex.org/W3044496412","https://openalex.org/W3099563576","https://openalex.org/W3121583880","https://openalex.org/W3157978375","https://openalex.org/W3161161912","https://openalex.org/W3166757847","https://openalex.org/W3204708751","https://openalex.org/W4288652121","https://openalex.org/W4292079189","https://openalex.org/W4292079583"],"related_works":["https://openalex.org/W2103389035","https://openalex.org/W1548901099","https://openalex.org/W3023872989","https://openalex.org/W4246256881","https://openalex.org/W2035513589","https://openalex.org/W1966928055","https://openalex.org/W3144902110","https://openalex.org/W1974382392","https://openalex.org/W2164242665","https://openalex.org/W1499757726"],"abstract_inverted_index":{"We":[0,96],"consider":[1],"the":[2,24,27,38,43,75,81,87,93,98,102,114,121,126,129],"Helmholtz":[3],"equation":[4],"with":[5,19,86],"a":[6,20,48,54,65],"nonconstant":[7],"coefficient,":[8],"defined":[9],"in":[10,41,80,113],"unbounded":[11],"domains":[12],"external":[13],"to":[14,47],"2D":[15],"bounded":[16,49],"ones,":[17],"endowed":[18],"Dirichlet":[21],"condition":[22,30,67],"on":[23,62,92],"boundary":[25,69,89],"and":[26,59,105,124],"Sommerfeld":[28],"radiation":[29],"at":[31],"infinity.":[32],"To":[33],"solve":[34],"it,":[35],"we":[36,60,73,106],"reduce":[37],"infinite":[39],"region,":[40],"which":[42],"solution":[44],"is":[45],"defined,":[46],"computational":[50,83],"one,":[51],"delimited":[52],"by":[53],"curved":[55,76],"smooth":[56],"artificial":[57,94],"boundary,":[58],"impose":[61],"this":[63],"latter":[64],"nonreflecting":[66],"of":[68,101,128],"integral":[70],"type.":[71],"Then,":[72],"apply":[74],"virtual":[77],"element":[78,90],"method":[79,91],"finite":[82],"domain,":[84],"combined":[85],"one-equation":[88],"boundary.":[95],"present":[97],"theoretical":[99,122],"analysis":[100],"proposed":[103,131],"approach,":[104],"provide":[107],"an":[108],"optimal":[109],"convergence":[110],"error":[111],"estimate":[112],"energy":[115],"norm.":[116],"The":[117],"numerical":[118],"tests":[119],"confirm":[120],"results":[123],"show":[125],"effectiveness":[127],"new":[130],"approach.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
