{"id":"https://openalex.org/W2963745149","doi":"https://doi.org/10.1137/17m1128010","title":"Discretizations of the Spectral Fractional Laplacian on General Domains with Dirichlet, Neumann, and Robin Boundary Conditions","display_name":"Discretizations of the Spectral Fractional Laplacian on General Domains with Dirichlet, Neumann, and Robin Boundary Conditions","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2963745149","doi":"https://doi.org/10.1137/17m1128010","mag":"2963745149"},"language":"en","primary_location":{"id":"doi:10.1137/17m1128010","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1128010","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":"http://hdl.handle.net/20.500.11824/718","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084710724","display_name":"Nicole Cusimano","orcid":"https://orcid.org/0000-0002-1373-1334"},"institutions":[{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Nicole Cusimano","raw_affiliation_strings":["Basque Centre for Applied Mathematics (BCAM), Bilbao, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basque Centre for Applied Mathematics (BCAM), Bilbao, Spain","institution_ids":["https://openalex.org/I2802176441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003056469","display_name":"F\u00e9lix del Teso","orcid":"https://orcid.org/0000-0001-9621-7826"},"institutions":[{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F\u00e9lix del Teso","raw_affiliation_strings":["Basque Centre for Applied Mathematics (BCAM), Bilbao, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basque Centre for Applied Mathematics (BCAM), Bilbao, Spain","institution_ids":["https://openalex.org/I2802176441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075961905","display_name":"Luca Gerardo\u2010Giorda","orcid":"https://orcid.org/0000-0001-8467-1247"},"institutions":[{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Luca Gerardo-Giorda","raw_affiliation_strings":["Basque Centre for Applied Mathematics (BCAM), Bilbao, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basque Centre for Applied Mathematics (BCAM), Bilbao, Spain","institution_ids":["https://openalex.org/I2802176441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015221131","display_name":"Gianni Pagnini","orcid":"https://orcid.org/0000-0001-9917-4614"},"institutions":[{"id":"https://openalex.org/I2802176441","display_name":"Basque Center for Applied Mathematics","ror":"https://ror.org/03b21sh32","country_code":"ES","type":"education","lineage":["https://openalex.org/I2802176441"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Gianni Pagnini","raw_affiliation_strings":["Basque Centre for Applied Mathematics (BCAM), Bilbao, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basque Centre for Applied Mathematics (BCAM), Bilbao, Spain","institution_ids":["https://openalex.org/I2802176441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015221131"],"corresponding_institution_ids":["https://openalex.org/I2802176441"],"apc_list":null,"apc_paid":null,"fwci":7.4135,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.97788561,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"56","issue":"3","first_page":"1243","last_page":"1272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.8478789925575256},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6718026399612427},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5946401953697205},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.4411333501338959},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.42319124937057495},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41903120279312134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3934687674045563}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8478789925575256},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6718026399612427},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5946401953697205},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4411333501338959},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.42319124937057495},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41903120279312134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3934687674045563}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1128010","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1128010","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:bird.bcamath.org:20.500.11824/718","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/718","pdf_url":null,"source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:bird.bcamath.org:20.500.11824/718","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/718","pdf_url":null,"source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6938446705","display_name":null,"funder_award_id":"MTM2016-76016-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G6939876626","display_name":null,"funder_award_id":"SEV-2013-0323","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G7529331022","display_name":null,"funder_award_id":"BERC 2014-2017","funder_id":"https://openalex.org/F4320321705","funder_display_name":"Eusko Jaurlaritza"},{"id":"https://openalex.org/G942534728","display_name":null,"funder_award_id":"250070","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G950384545","display_name":null,"funder_award_id":"MTM2015-69992-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320320885","display_name":"European Research Consortium for Informatics and Mathematics","ror":"https://ror.org/055zrhj18"},{"id":"https://openalex.org/F4320321705","display_name":"Eusko Jaurlaritza","ror":"https://ror.org/00pz2fp31"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1963952659","https://openalex.org/W1964820376","https://openalex.org/W1973254840","https://openalex.org/W1979042371","https://openalex.org/W1984898295","https://openalex.org/W1998904894","https://openalex.org/W2010625224","https://openalex.org/W2011095781","https://openalex.org/W2016375459","https://openalex.org/W2016533177","https://openalex.org/W2016823491","https://openalex.org/W2020178181","https://openalex.org/W2021510322","https://openalex.org/W2029529153","https://openalex.org/W2037310801","https://openalex.org/W2039427414","https://openalex.org/W2047319386","https://openalex.org/W2055360045","https://openalex.org/W2059975982","https://openalex.org/W2064694631","https://openalex.org/W2065254635","https://openalex.org/W2079514759","https://openalex.org/W2080296395","https://openalex.org/W2128632420","https://openalex.org/W2135438092","https://openalex.org/W2136052812","https://openalex.org/W2140620666","https://openalex.org/W2158845426","https://openalex.org/W2172034033","https://openalex.org/W2264624310","https://openalex.org/W2268968240","https://openalex.org/W2301924123","https://openalex.org/W2395085125","https://openalex.org/W2537991196","https://openalex.org/W2566141738","https://openalex.org/W2740918329","https://openalex.org/W2950061507","https://openalex.org/W2952555653","https://openalex.org/W2962743801","https://openalex.org/W2963436898","https://openalex.org/W2963492698","https://openalex.org/W2963645054","https://openalex.org/W2963763304","https://openalex.org/W2964265535","https://openalex.org/W3022058771","https://openalex.org/W3099709074","https://openalex.org/W3122525509","https://openalex.org/W3123275897"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2991991550","https://openalex.org/W64182352","https://openalex.org/W2033441375"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,28],"propose":[4],"novel":[5],"discretizations":[6,57],"of":[7,20,33,44,47,56,60,66,87,90,111,122],"the":[8,17,21,24,34,42,45,48,64,67,70,74,85,88,91,94,123],"spectral":[9,75],"fractional":[10,76],"Laplacian":[11,77,92],"on":[12,16,63,72,93,100],"bounded":[13,103],"domains":[14],"based":[15],"integral":[18,35],"formulation":[19],"operator":[22],"via":[23],"heat-semigroup":[25],"formalism.":[26],"Specifically,":[27],"combine":[29],"suitable":[30],"quadrature":[31],"formulas":[32],"with":[36,58],"a":[37],"finite":[38],"element":[39],"method":[40,81,125],"for":[41],"approximation":[43],"solution":[46],"corresponding":[49],"heat":[50],"equation.":[51],"We":[52],"derive":[53],"two":[54],"families":[55],"order":[59],"convergence":[61],"depending":[62],"regularity":[65],"domain":[68],"and":[69,105,126],"function":[71],"which":[73],"is":[78],"acting.":[79],"Our":[80],"does":[82],"not":[83],"require":[84],"computation":[86],"eigenpairs":[89],"considered":[95],"domain,":[96],"can":[97,106],"be":[98],"implemented":[99],"possibly":[101],"irregular":[102],"domains,":[104],"naturally":[107],"handle":[108],"different":[109],"types":[110],"boundary":[112],"constraints.":[113],"Various":[114],"numerical":[115],"simulations":[116],"are":[117],"provided":[118],"to":[119],"illustrate":[120],"performance":[121],"proposed":[124],"support":[127],"our":[128],"theoretical":[129],"results.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
