{"id":"https://openalex.org/W3033352716","doi":"https://doi.org/10.1007/s00211-021-01255-y","title":"Kernel-independent adaptive construction of $$\\mathcal {H}^2$$-matrix approximations","display_name":"Kernel-independent adaptive construction of $$\\mathcal {H}^2$$-matrix approximations","publication_year":2021,"publication_date":"2021-12-10","ids":{"openalex":"https://openalex.org/W3033352716","doi":"https://doi.org/10.1007/s00211-021-01255-y","mag":"3033352716"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-021-01255-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-021-01255-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-021-01255-y.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":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-021-01255-y.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107600478","display_name":"Michel Bauer","orcid":null},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Bauer","raw_affiliation_strings":["Faculty of Mathematics, Physics and Computer Science, Universit\u00e4t Bayreuth, 95447, Bayreuth, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Physics and Computer Science, Universit\u00e4t Bayreuth, 95447, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064337181","display_name":"Mario Bebendorf","orcid":null},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"M. Bebendorf","raw_affiliation_strings":["Faculty of Mathematics, Physics and Computer Science, Universit\u00e4t Bayreuth, 95447, Bayreuth, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Physics and Computer Science, Universit\u00e4t Bayreuth, 95447, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066404254","display_name":"Bernd Feist","orcid":null},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"B. Feist","raw_affiliation_strings":["Faculty of Mathematics, Physics and Computer Science, Universit\u00e4t Bayreuth, 95447, Bayreuth, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Physics and Computer Science, Universit\u00e4t Bayreuth, 95447, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064337181"],"corresponding_institution_ids":["https://openalex.org/I54009628"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":{"value":2780,"currency":"USD","value_usd":2780},"fwci":0.8949,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.70857727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"150","issue":"1","first_page":"1","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6780117750167847},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5255557298660278},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5005793571472168},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.4843648374080658},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4625489115715027},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43975040316581726},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42717689275741577},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36522430181503296},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2578851580619812},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19584691524505615},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.15581238269805908}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6780117750167847},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5255557298660278},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5005793571472168},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.4843648374080658},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4625489115715027},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43975040316581726},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42717689275741577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36522430181503296},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2578851580619812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19584691524505615},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.15581238269805908},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-021-01255-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-021-01255-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-021-01255-y.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"}],"best_oa_location":{"id":"doi:10.1007/s00211-021-01255-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-021-01255-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-021-01255-y.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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3033352716.pdf","grobid_xml":"https://content.openalex.org/works/W3033352716.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W87368160","https://openalex.org/W96075793","https://openalex.org/W261426550","https://openalex.org/W973993968","https://openalex.org/W1425400007","https://openalex.org/W1524137286","https://openalex.org/W1569304948","https://openalex.org/W1602383637","https://openalex.org/W1602760118","https://openalex.org/W1968376936","https://openalex.org/W1982115588","https://openalex.org/W2018419001","https://openalex.org/W2042112576","https://openalex.org/W2062897648","https://openalex.org/W2069883496","https://openalex.org/W2077543318","https://openalex.org/W2079598795","https://openalex.org/W2083206954","https://openalex.org/W2083434718","https://openalex.org/W2115135558","https://openalex.org/W2117926105","https://openalex.org/W2132740649","https://openalex.org/W2132820941","https://openalex.org/W2169351022","https://openalex.org/W2220451813","https://openalex.org/W2298381282","https://openalex.org/W2395085125","https://openalex.org/W2427881153","https://openalex.org/W2744610720","https://openalex.org/W3123275897","https://openalex.org/W4251512373"],"related_works":["https://openalex.org/W2340031096","https://openalex.org/W3112053320","https://openalex.org/W1493568480","https://openalex.org/W2995727521","https://openalex.org/W4385967523","https://openalex.org/W2750921783","https://openalex.org/W1989354217","https://openalex.org/W2380708104","https://openalex.org/W2294970809","https://openalex.org/W4285308861"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"method":[2],"for":[3,37],"the":[4,24,48],"kernel-independent":[5],"construction":[6,26],"of":[7,27,51],"$$\\mathcal":[8],"{H}^2$$":[9],"H":[10],"2":[11],"-matrix":[12],"approximations":[13],"to":[14,23],"non-local":[15],"operators":[16],"is":[17,21],"proposed.":[18],"Special":[19],"attention":[20],"paid":[22],"adaptive":[25,38],"nested":[28],"bases.":[29],"As":[30],"a":[31],"side":[32],"result,":[33],"new":[34],"error":[35],"estimates":[36],"cross":[39],"approximation":[40],"(ACA)":[41],"are":[42],"presented":[43],"which":[44],"have":[45],"implications":[46],"on":[47],"pivoting":[49],"strategy":[50],"ACA.":[52]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
