{"id":"https://openalex.org/W3047106357","doi":"https://doi.org/10.1137/20m1357524","title":"Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis","display_name":"Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis","publication_year":2022,"publication_date":"2022-03-07","ids":{"openalex":"https://openalex.org/W3047106357","doi":"https://doi.org/10.1137/20m1357524","mag":"3047106357"},"language":"en","primary_location":{"id":"doi:10.1137/20m1357524","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1357524","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-02909750","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112637460","display_name":"Patrick Joly","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Patrick Joly","raw_affiliation_strings":["POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91762 Palaiseau CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91762 Palaiseau CEDEX - France)","institution_ids":["https://openalex.org/I4210146116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088625802","display_name":"Maryna Kachanovska","orcid":"https://orcid.org/0000-0001-9991-9874"},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Maryna Kachanovska","raw_affiliation_strings":["POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91762 Palaiseau CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91762 Palaiseau CEDEX - France)","institution_ids":["https://openalex.org/I4210146116"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112637460"],"corresponding_institution_ids":["https://openalex.org/I4210146116"],"apc_list":null,"apc_paid":null,"fwci":0.7667,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58659218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"60","issue":"2","first_page":"529","last_page":"557"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8569015860557556},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.6862234473228455},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6217846870422363},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5787994861602783},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.574333906173706},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5714998841285706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5300689935684204},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.5105699300765991},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.45981842279434204},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.4313364624977112},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.41808775067329407},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36372876167297363}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8569015860557556},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.6862234473228455},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6217846870422363},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5787994861602783},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.574333906173706},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5714998841285706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5300689935684204},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5105699300765991},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45981842279434204},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.4313364624977112},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.41808775067329407},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36372876167297363},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1357524","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1357524","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"},{"id":"pmh:oai:HAL:hal-02909750v2","is_oa":true,"landing_page_url":"https://hal.science/hal-02909750","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2022, 60 (2), ⟨10.1137/20M1357524⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02909750v2","is_oa":true,"landing_page_url":"https://hal.science/hal-02909750","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2022, 60 (2), ⟨10.1137/20M1357524⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1707697129","https://openalex.org/W1967531259","https://openalex.org/W1967601850","https://openalex.org/W1992478204","https://openalex.org/W2014561238","https://openalex.org/W2015783408","https://openalex.org/W2017962487","https://openalex.org/W2035410751","https://openalex.org/W2080452583","https://openalex.org/W2113949199","https://openalex.org/W2161108761","https://openalex.org/W2603120649","https://openalex.org/W2611167445","https://openalex.org/W2767242682","https://openalex.org/W2805604763","https://openalex.org/W3046399358","https://openalex.org/W3046979878","https://openalex.org/W3102806553","https://openalex.org/W3103165721","https://openalex.org/W3103932815","https://openalex.org/W3104142137"],"related_works":["https://openalex.org/W4302419125","https://openalex.org/W2766128145","https://openalex.org/W4300623652","https://openalex.org/W121031341","https://openalex.org/W2038878154","https://openalex.org/W4290982745","https://openalex.org/W2464780829","https://openalex.org/W2963746646","https://openalex.org/W3217737408","https://openalex.org/W4285669519"],"abstract_inverted_index":{"This":[0],"work":[1,28,89],"is":[2],"dedicated":[3],"to":[4],"a":[5,21,83,117],"refined":[6],"error":[7,63,93],"analysis":[8],"of":[9,44,58,72,78,97,105,112,119],"the":[10,16,26,51,56,59,66,70,73,76,79,98,106,110,113],"high-order":[11],"transparent":[12],"boundary":[13,46],"conditions":[14,47],"for":[15,102,116],"weighted":[17,80],"wave":[18],"equation":[19],"on":[20,49,69,82],"fractal":[22],"tree,":[23],"introduced":[24],"in":[25],"companion":[27],"[P.":[29],"Joly":[30],"and":[31,75,100],"M.":[32],"Kachanovska,":[33],"SIAM":[34],"J.":[35],"Sci.":[36],"Comput.,":[37],"43":[38],"(2021),":[39],"pp.":[40],"A3760--A3788].":[41],"The":[42,62],"construction":[43],"such":[45],"relies":[48],"truncating":[50],"meromorphic":[52],"series":[53],"that":[54],"represents":[55],"symbol":[57],"Dirichlet-to-Neumann":[60],"operator.":[61],"induced":[64],"by":[65,94],"truncation":[67],"depends":[68],"behavior":[71],"eigenvalues":[74,99],"eigenfunctions":[77],"Laplacian":[81],"self-similar":[84,120],"metric":[85],"tree.":[86],"In":[87],"this":[88,92],"we":[90],"quantify":[91],"computing":[95],"asymptotics":[96],"bounds":[101,115],"Neumann":[103],"traces":[104],"eigenfunctions.":[107],"We":[108],"prove":[109],"sharpness":[111],"obtained":[114],"class":[118],"trees.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}