{"id":"https://openalex.org/W2943930481","doi":"https://doi.org/10.1515/cmam-2018-0208","title":"The Discrete Steklov\u2013Poincar\u00e9 Operator Using Algebraic Dual Polynomials","display_name":"The Discrete Steklov\u2013Poincar\u00e9 Operator Using Algebraic Dual Polynomials","publication_year":2019,"publication_date":"2019-05-07","ids":{"openalex":"https://openalex.org/W2943930481","doi":"https://doi.org/10.1515/cmam-2018-0208","mag":"2943930481"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2018-0208","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0208","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","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/A5101826161","display_name":"Yi Zhang","orcid":"https://orcid.org/0000-0003-4208-716X"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Yi Zhang","raw_affiliation_strings":["Department of Aerodynamics, Wind Energy, Flight Performance and Propulsion , Delft University of Technology , P.O. Box 5058, 2600 GB Delft , The Netherlands"],"raw_orcid":"https://orcid.org/0000-0003-4208-716X","affiliations":[{"raw_affiliation_string":"Department of Aerodynamics, Wind Energy, Flight Performance and Propulsion , Delft University of Technology , P.O. Box 5058, 2600 GB Delft , The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071221773","display_name":"Varun Jain","orcid":"https://orcid.org/0000-0003-4720-9875"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Varun Jain","raw_affiliation_strings":["Department of Aerodynamics, Wind Energy, Flight Performance and Propulsion , Delft University of Technology , P.O. Box 5058, 2600 GB Delft , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerodynamics, Wind Energy, Flight Performance and Propulsion , Delft University of Technology , P.O. Box 5058, 2600 GB Delft , The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066967170","display_name":"Artur Palha","orcid":"https://orcid.org/0000-0002-3217-0747"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Artur Palha","raw_affiliation_strings":["Department of Mechanical Engineering , Eindhoven University of Technology , P.O. Box 513, 5600 MB Eindhoven , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , Eindhoven University of Technology , P.O. Box 513, 5600 MB Eindhoven , The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017322298","display_name":"Marc Gerritsma","orcid":"https://orcid.org/0000-0003-2539-642X"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Marc Gerritsma","raw_affiliation_strings":["Department of Aerodynamics, Wind Energy, Flight Performance and Propulsion , Delft University of Technology , P.O. Box 5058, 2600 GB Delft , The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerodynamics, Wind Energy, Flight Performance and Propulsion , Delft University of Technology , P.O. Box 5058, 2600 GB Delft , The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101826161"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":0.9706,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72638339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"3","first_page":"645","last_page":"661"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.6806027293205261},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.568120539188385},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5433626174926758},{"id":"https://openalex.org/keywords/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.46109238266944885},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4542040526866913},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4388427436351776},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27480268478393555},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07587531208992004}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6806027293205261},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.568120539188385},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5433626174926758},{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.46109238266944885},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4542040526866913},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4388427436351776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27480268478393555},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07587531208992004},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2018-0208","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0208","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W111618586","https://openalex.org/W592911714","https://openalex.org/W611226371","https://openalex.org/W1529325699","https://openalex.org/W1568938378","https://openalex.org/W1955273710","https://openalex.org/W1963659668","https://openalex.org/W1967011851","https://openalex.org/W1967862076","https://openalex.org/W1976385614","https://openalex.org/W1992543686","https://openalex.org/W1998894128","https://openalex.org/W2034626863","https://openalex.org/W2060365416","https://openalex.org/W2064857459","https://openalex.org/W2068155564","https://openalex.org/W2081624895","https://openalex.org/W2082452417","https://openalex.org/W2082613770","https://openalex.org/W2086298877","https://openalex.org/W2120362522","https://openalex.org/W2130350269","https://openalex.org/W2151938016","https://openalex.org/W2155718237","https://openalex.org/W2573993005","https://openalex.org/W2778574121","https://openalex.org/W4292079189","https://openalex.org/W6600994665"],"related_works":["https://openalex.org/W1639593894","https://openalex.org/W63200814","https://openalex.org/W2367601375","https://openalex.org/W2371750680","https://openalex.org/W2360227361","https://openalex.org/W1999171692","https://openalex.org/W1600077717","https://openalex.org/W2017712750","https://openalex.org/W2382222323","https://openalex.org/W2091797280"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"will":[5,27,62],"use":[6],"algebraic":[7],"dual":[8],"polynomials":[9],"to":[10,34],"set":[11],"up":[12],"a":[13,35,40],"discrete":[14],"Steklov\u2013Poincar\u00e9":[15],"operator":[16],"for":[17],"the":[18,22,45],"mixed":[19],"formulation":[20],"of":[21,44],"Poisson":[23],"problem.":[24],"The":[25],"method":[26],"be":[28,63],"applied":[29],"in":[30,48],"curvilinear":[31],"coordinates":[32],"and":[33],"test":[36],"problem":[37],"which":[38],"contains":[39],"singularity.":[41],"Exponential":[42],"convergence":[43],"trace":[46],"variable":[47],"<m:math":[49],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[50],"<m:msup>":[51],"<m:mi>H</m:mi>":[52],"<m:mrow>":[53],"<m:mn>1</m:mn>":[54],"<m:mo>/</m:mo>":[55],"<m:mn>2</m:mn>":[56],"</m:mrow>":[57],"</m:msup>":[58],"</m:math>":[59],"{H^{1/2}}":[60],"-norm":[61],"shown.":[64]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}