{"id":"https://openalex.org/W3150123169","doi":"https://doi.org/10.1007/s10444-022-09924-8","title":"Convergence analysis of oversampled collocation boundary element methods in 2D","display_name":"Convergence analysis of oversampled collocation boundary element methods in 2D","publication_year":2022,"publication_date":"2022-02-28","ids":{"openalex":"https://openalex.org/W3150123169","doi":"https://doi.org/10.1007/s10444-022-09924-8","mag":"3150123169"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-022-09924-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-022-09924-8","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/20.500.12942/688576","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081769352","display_name":"Georg Maierhofer","orcid":"https://orcid.org/0000-0002-9764-8596"},"institutions":[{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Georg Maierhofer","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne University, Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Sorbonne University, Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022994939","display_name":"Daan Huybrechs","orcid":"https://orcid.org/0000-0002-0536-2647"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Daan Huybrechs","raw_affiliation_strings":["Department of Computer Science, KU Leuven, Leuven, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, KU Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081769352"],"corresponding_institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6083,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63875963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"48","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":1.0,"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/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/oversampling","display_name":"Oversampling","score":0.8140485882759094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7248493432998657},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.693353533744812},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.6388431787490845},{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.6209092140197754},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5560019612312317},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5542610287666321},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.5455852746963501},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5353904366493225},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5005676746368408},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.4822043180465698},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44576820731163025},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.42384108901023865},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.42032888531684875},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.30591416358947754},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.2785290479660034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15320318937301636},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.11634209752082825},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.07792726159095764}],"concepts":[{"id":"https://openalex.org/C197323446","wikidata":"https://www.wikidata.org/wiki/Q331222","display_name":"Oversampling","level":3,"score":0.8140485882759094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7248493432998657},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.693353533744812},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.6388431787490845},{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.6209092140197754},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5560019612312317},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5542610287666321},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.5455852746963501},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5353904366493225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5005676746368408},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.4822043180465698},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44576820731163025},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.42384108901023865},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.42032888531684875},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.30591416358947754},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2785290479660034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15320318937301636},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.11634209752082825},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.07792726159095764},{"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/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/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-022-09924-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-022-09924-8","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/688576","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/688576","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Advances In Computational Mathematics, vol. 48 (2), Art.No. ARTN 11","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/688576","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/688576","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Advances In Computational Mathematics, vol. 48 (2), Art.No. ARTN 11","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"No poverty","id":"https://metadata.un.org/sdg/1"}],"awards":[{"id":"https://openalex.org/G177624980","display_name":null,"funder_award_id":"IF project C14/15/055","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"},{"id":"https://openalex.org/G356165582","display_name":"EPSRC Centre for Doctoral Training in Analysis (Cambridge Centre for Analysis)","funder_award_id":"EP/L016516/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W158228514","https://openalex.org/W1517670975","https://openalex.org/W1602369757","https://openalex.org/W1984741461","https://openalex.org/W2011448430","https://openalex.org/W2012800328","https://openalex.org/W2020680798","https://openalex.org/W2021670188","https://openalex.org/W2032208959","https://openalex.org/W2032231305","https://openalex.org/W2038870672","https://openalex.org/W2046334963","https://openalex.org/W2062486712","https://openalex.org/W2084768760","https://openalex.org/W2085740870","https://openalex.org/W2094191750","https://openalex.org/W2113499611","https://openalex.org/W2152440746","https://openalex.org/W2153780713","https://openalex.org/W2160646778","https://openalex.org/W2287401681","https://openalex.org/W2329051191","https://openalex.org/W2775906316","https://openalex.org/W2934526567","https://openalex.org/W2962785136","https://openalex.org/W2965119362","https://openalex.org/W2995271172","https://openalex.org/W3035269810","https://openalex.org/W3047533189","https://openalex.org/W3105082494","https://openalex.org/W4205634890","https://openalex.org/W4211232263","https://openalex.org/W4230171394","https://openalex.org/W4255686355","https://openalex.org/W4308734102"],"related_works":["https://openalex.org/W2067027858","https://openalex.org/W2569604312","https://openalex.org/W2045953892","https://openalex.org/W2032662168","https://openalex.org/W3126297227","https://openalex.org/W2103887709","https://openalex.org/W2765372099","https://openalex.org/W2363361243","https://openalex.org/W2031484768","https://openalex.org/W2063652309"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}