{"id":"https://openalex.org/W2995796023","doi":"https://doi.org/10.1007/s00211-021-01188-6","title":"Functional a posteriori error estimates for boundary element methods","display_name":"Functional a posteriori error estimates for boundary element methods","publication_year":2021,"publication_date":"2021-03-18","ids":{"openalex":"https://openalex.org/W2995796023","doi":"https://doi.org/10.1007/s00211-021-01188-6","mag":"2995796023"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-021-01188-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-021-01188-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-021-01188-6.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-021-01188-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065332705","display_name":"Stefan Kurz","orcid":null},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Kurz","raw_affiliation_strings":["Centre for Computational Engineering, TU Darmstadt, Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Computational Engineering, TU Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041687955","display_name":"Dirk Pauly","orcid":"https://orcid.org/0000-0003-4155-7297"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dirk Pauly","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Duisburg-Essen, Essen, Germany","Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Duisburg\u2013Essen, Essen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Duisburg-Essen, Essen, Germany","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Duisburg\u2013Essen, Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022125095","display_name":"Dirk Praetorius","orcid":"https://orcid.org/0000-0002-1977-9830"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Dirk Praetorius","raw_affiliation_strings":["Institute of Analysis and Scientific Computing, TU Wien, Vienna, Austria","Institute of analysis and scientific computing, TU Wien,Vienna,Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Analysis and Scientific Computing, TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institute of analysis and scientific computing, TU Wien,Vienna,Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113979788","display_name":"Sergey Repin","orcid":null},"institutions":[{"id":"https://openalex.org/I2800906181","display_name":"St. Petersburg Department of Steklov Institute of Mathematics","ror":"https://ror.org/030h9s280","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2800906181","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI","RU"],"is_corresponding":false,"raw_author_name":"Sergey Repin","raw_affiliation_strings":["St. Petersburg Department of V.A., Steklov Institute of Mathematics, St Petersburg, Russia","University of Jyv\u00e4skyl\u00e4, MIT, Jyv\u00e4skyl\u00e4, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg Department of V.A., Steklov Institute of Mathematics, St Petersburg, Russia","institution_ids":["https://openalex.org/I2800906181"]},{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4, MIT, Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017625014","display_name":"Daniel Sebastian","orcid":"https://orcid.org/0000-0002-2214-9258"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Daniel Sebastian","raw_affiliation_strings":["Institute of Analysis and Scientific Computing, TU Wien, Vienna, Austria","Institute of analysis and scientific computing, TU Wien,Vienna,Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Analysis and Scientific Computing, TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institute of analysis and scientific computing, TU Wien,Vienna,Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0047884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"147","issue":"4","first_page":"937","last_page":"966"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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":0.9988999962806702,"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/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7047448754310608},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.6989023089408875},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.648867130279541},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6384270191192627},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.608461856842041},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6046002507209778},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5514460802078247},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5108980536460876},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4750259518623352},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4673987030982971},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.46385881304740906},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4322400987148285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4140820801258087},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.4125366508960724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3577476143836975},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35073667764663696},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17635884881019592}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7047448754310608},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6989023089408875},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.648867130279541},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6384270191192627},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.608461856842041},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6046002507209778},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5514460802078247},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5108980536460876},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4750259518623352},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4673987030982971},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.46385881304740906},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4322400987148285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4140820801258087},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.4125366508960724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3577476143836975},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35073667764663696},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17635884881019592},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00211-021-01188-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-021-01188-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-021-01188-6.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1912.05789","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.05789","pdf_url":"https://arxiv.org/pdf/1912.05789","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2995796023","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1912.05789v2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:jyx.jyu.fi:123456789/74737","is_oa":true,"landing_page_url":"http://urn.fi/URN:NBN:fi:jyu-202103242077","pdf_url":null,"source":{"id":"https://openalex.org/S4306400563","display_name":"Jyv\u00e4skyl\u00e4 University Digital Archive (University of Jyv\u00e4skyl\u00e4)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I94722563","host_organization_name":"University of Jyv\u00e4skyl\u00e4","host_organization_lineage":["https://openalex.org/I94722563"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"A1"},{"id":"pmh:oai:repositum.tuwien.at:20.500.12708/20273","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12708/20273","pdf_url":null,"source":{"id":"https://openalex.org/S4306400494","display_name":"reposiTUm (TU Wien)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145847075","host_organization_name":"TU Wien","host_organization_lineage":["https://openalex.org/I145847075"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.1912.05789","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1912.05789","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00211-021-01188-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-021-01188-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-021-01188-6.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5394959934","display_name":"Optimal adaptivity for BEM and FEM-BEM coupling","funder_award_id":"P27005","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322839","display_name":"Technische Universit\u00e4t Wien","ror":"https://ror.org/04d836q62"},{"id":"https://openalex.org/F4320323384","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2995796023.pdf","grobid_xml":"https://content.openalex.org/works/W2995796023.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W8052360","https://openalex.org/W408406386","https://openalex.org/W592911714","https://openalex.org/W1602383637","https://openalex.org/W1965398593","https://openalex.org/W1976205331","https://openalex.org/W1983910603","https://openalex.org/W1986975210","https://openalex.org/W1992814115","https://openalex.org/W2003277202","https://openalex.org/W2013806274","https://openalex.org/W2026409663","https://openalex.org/W2037836476","https://openalex.org/W2044959876","https://openalex.org/W2050144917","https://openalex.org/W2050871234","https://openalex.org/W2051560478","https://openalex.org/W2053482768","https://openalex.org/W2055496542","https://openalex.org/W2062111963","https://openalex.org/W2062261879","https://openalex.org/W2064019645","https://openalex.org/W2065524660","https://openalex.org/W2074236982","https://openalex.org/W2081762693","https://openalex.org/W2082027099","https://openalex.org/W2093622765","https://openalex.org/W2104960119","https://openalex.org/W2108534867","https://openalex.org/W2133044614","https://openalex.org/W2134169343","https://openalex.org/W2137757379","https://openalex.org/W2139899985","https://openalex.org/W2144098834","https://openalex.org/W2153851179","https://openalex.org/W2298381282","https://openalex.org/W2463821656","https://openalex.org/W2496081756","https://openalex.org/W2749003965","https://openalex.org/W2949694278","https://openalex.org/W2963390273","https://openalex.org/W2963534781","https://openalex.org/W2964024363","https://openalex.org/W2988229339","https://openalex.org/W3098012691","https://openalex.org/W3102639848","https://openalex.org/W3122997955","https://openalex.org/W4243875835"],"related_works":["https://openalex.org/W2380922954","https://openalex.org/W2053582703","https://openalex.org/W1971131185","https://openalex.org/W2808511068","https://openalex.org/W2528740671","https://openalex.org/W810589217","https://openalex.org/W2061682845","https://openalex.org/W2183824625","https://openalex.org/W2987201908","https://openalex.org/W2157121531","https://openalex.org/W175924753","https://openalex.org/W59356034","https://openalex.org/W3212332410","https://openalex.org/W3015467718","https://openalex.org/W2139613085","https://openalex.org/W3035181138","https://openalex.org/W2497559169","https://openalex.org/W51005650","https://openalex.org/W2182678530","https://openalex.org/W2059968209"],"abstract_inverted_index":{"Abstract":[0],"Functional":[1],"error":[2,10,29,44],"estimates":[3,45],"are":[4,46],"well-established":[5],"tools":[6],"for":[7,16,31,59,81,89],"a":[8,26],"posteriori":[9],"estimation":[11],"and":[12,52,56,70,84],"related":[13],"adaptive":[14],"mesh-refinement":[15],"the":[17,32,42,49,60,71,76,90,94],"finite":[18],"element":[19,34],"method":[20,35],"(FEM).":[21],"The":[22],"present":[23],"work":[24],"proposes":[25],"first":[27],"functional":[28],"estimate":[30],"boundary":[33],"(BEM).":[36],"One":[37],"key":[38],"feature":[39],"is":[40],"that":[41],"derived":[43],"independent":[47],"of":[48,78],"BEM":[50,69],"discretization":[51],"provide":[53],"guaranteed":[54],"lower":[55],"upper":[57],"bounds":[58],"unknown":[61],"error.":[62],"In":[63],"particular,":[64],"our":[65],"analysis":[66],"covers":[67],"Galerkin":[68],"collocation":[72],"method,":[73],"what":[74],"makes":[75],"approach":[77],"particular":[79],"interest":[80],"scientific":[82],"computations":[83],"engineering":[85],"applications.":[86],"Numerical":[87],"experiments":[88],"Laplace":[91],"problem":[92],"confirm":[93],"theoretical":[95],"results.":[96]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}