{"id":"https://openalex.org/W1994579954","doi":"https://doi.org/10.1137/s1064827599352999","title":"Adaptive Boundary Element Methods Based on Computational Schemes for Sobolev Norms","display_name":"Adaptive Boundary Element Methods Based on Computational Schemes for Sobolev Norms","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1994579954","doi":"https://doi.org/10.1137/s1064827599352999","mag":"1994579954"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827599352999","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599352999","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5037762950","display_name":"Olaf Steinbach","orcid":"https://orcid.org/0000-0002-2552-3022"},"institutions":[{"id":"https://openalex.org/I4210093841","display_name":"Institute of Applied Mathematics","ror":"https://ror.org/00h9jx107","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210093841","https://openalex.org/I4210124601","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"O. Steinbach","raw_affiliation_strings":["Institute of Applied Mathematics (5040)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics (5040)","institution_ids":["https://openalex.org/I4210093841"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037762950"],"corresponding_institution_ids":["https://openalex.org/I4210093841"],"apc_list":null,"apc_paid":null,"fwci":1.6311,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.81208431,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"2","first_page":"604","last_page":"616"},"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":0.9994999766349792,"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":0.9994999766349792,"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":0.9988999962806702,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9930999875068665,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7989934682846069},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7578449249267578},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5652586817741394},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.5588022470474243},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5564426183700562},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5393021702766418},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5074757933616638},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5070772171020508},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5043221712112427},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.49315589666366577},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45260918140411377},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34216034412384033},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3365371823310852},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2324092984199524}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7989934682846069},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7578449249267578},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5652586817741394},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5588022470474243},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5564426183700562},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5393021702766418},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5074757933616638},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5070772171020508},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5043221712112427},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.49315589666366577},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45260918140411377},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34216034412384033},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3365371823310852},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2324092984199524},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827599352999","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599352999","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W18063129","https://openalex.org/W136882936","https://openalex.org/W1565460255","https://openalex.org/W1997831216","https://openalex.org/W2010699939","https://openalex.org/W2026629306","https://openalex.org/W2031358199","https://openalex.org/W2032020253","https://openalex.org/W2034619514","https://openalex.org/W2043347951","https://openalex.org/W2044947739","https://openalex.org/W2044956345","https://openalex.org/W2050871234","https://openalex.org/W2055962135","https://openalex.org/W2093538658","https://openalex.org/W2093685663","https://openalex.org/W2104960119","https://openalex.org/W2158352376","https://openalex.org/W2163694039","https://openalex.org/W2747879971","https://openalex.org/W3042562017","https://openalex.org/W4244627485"],"related_works":["https://openalex.org/W4299978068","https://openalex.org/W4287880334","https://openalex.org/W2164189677","https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W2950745223","https://openalex.org/W3178812599","https://openalex.org/W4287083812","https://openalex.org/W2895293991","https://openalex.org/W2094137097"],"abstract_inverted_index":{"Multilevel":[0],"methods":[1],"are":[2],"applied":[3],"to":[4,43],"compute":[5],"local":[6],"and":[7,31],"global":[8],"Sobolev":[9],"norms":[10],"arising":[11],"in":[12],"adaptive":[13],"boundary":[14,39,49],"element":[15,40],"methods.":[16],"Combining":[17],"this":[18],"approach":[19],"with":[20],"an":[21,25],"approximate":[22],"computation":[23],"of":[24],"error":[26,35],"function":[27],"we":[28],"construct":[29],"efficient":[30],"reliable":[32],"a":[33,45],"posteriori":[34],"estimators":[36],"for":[37],"arbitrary":[38],"solutions":[41],"related":[42],"either":[44],"Dirichlet":[46],"or":[47],"Neumann":[48],"value":[50],"problem.":[51]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
