{"id":"https://openalex.org/W2132740649","doi":"https://doi.org/10.1007/s00211-014-0656-7","title":"Wideband nested cross approximation for Helmholtz problems","display_name":"Wideband nested cross approximation for Helmholtz problems","publication_year":2014,"publication_date":"2014-07-08","ids":{"openalex":"https://openalex.org/W2132740649","doi":"https://doi.org/10.1007/s00211-014-0656-7","mag":"2132740649"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0656-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0656-7","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064337181","display_name":"Mario Bebendorf","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"M. Bebendorf","raw_affiliation_strings":["Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Wegelerstr. 6, 53115\u00a0, Bonn, Germany","Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Bonn, Germany 53115#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Wegelerstr. 6, 53115\u00a0, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Bonn, Germany 53115#TAB#","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050126450","display_name":"C. Kuske","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"C. Kuske","raw_affiliation_strings":["Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Wegelerstr. 6, 53115\u00a0, Bonn, Germany","Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Bonn, Germany 53115#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Wegelerstr. 6, 53115\u00a0, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Bonn, Germany 53115#TAB#","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023194327","display_name":"Rachel Venn","orcid":"https://orcid.org/0000-0001-6009-8909"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Venn","raw_affiliation_strings":["Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Wegelerstr. 6, 53115\u00a0, Bonn, Germany","Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Bonn, Germany 53115#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Wegelerstr. 6, 53115\u00a0, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Bonn, Germany 53115#TAB#","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064337181"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.2719,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.96196033,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"130","issue":"1","first_page":"1","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9983000159263611,"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/T10514","display_name":"Numerical methods in engineering","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7786147594451904},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.637811005115509},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5868220925331116},{"id":"https://openalex.org/keywords/wideband","display_name":"Wideband","score":0.48414286971092224},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.47190314531326294},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4488714337348938},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3958980143070221},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38867467641830444},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07326963543891907}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7786147594451904},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.637811005115509},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5868220925331116},{"id":"https://openalex.org/C2780202535","wikidata":"https://www.wikidata.org/wiki/Q4524457","display_name":"Wideband","level":2,"score":0.48414286971092224},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.47190314531326294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4488714337348938},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3958980143070221},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38867467641830444},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07326963543891907},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0656-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0656-7","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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":41,"referenced_works":["https://openalex.org/W1425400007","https://openalex.org/W1524137286","https://openalex.org/W1569304948","https://openalex.org/W1584657480","https://openalex.org/W1963750172","https://openalex.org/W1968376936","https://openalex.org/W1971285640","https://openalex.org/W1977553864","https://openalex.org/W1977565841","https://openalex.org/W1982115588","https://openalex.org/W1987397719","https://openalex.org/W1987724179","https://openalex.org/W1989056711","https://openalex.org/W1993990018","https://openalex.org/W2002563415","https://openalex.org/W2005904620","https://openalex.org/W2017141126","https://openalex.org/W2017989668","https://openalex.org/W2018419001","https://openalex.org/W2038019732","https://openalex.org/W2038870672","https://openalex.org/W2042112576","https://openalex.org/W2045932400","https://openalex.org/W2054557822","https://openalex.org/W2068306188","https://openalex.org/W2069045162","https://openalex.org/W2074027203","https://openalex.org/W2076450467","https://openalex.org/W2083206954","https://openalex.org/W2088644550","https://openalex.org/W2089210221","https://openalex.org/W2117762537","https://openalex.org/W2117926105","https://openalex.org/W2122137889","https://openalex.org/W2128601600","https://openalex.org/W2132820941","https://openalex.org/W2135594087","https://openalex.org/W2143962756","https://openalex.org/W2348703335","https://openalex.org/W3046545066","https://openalex.org/W4236478587"],"related_works":["https://openalex.org/W4365420316","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3120022531","https://openalex.org/W1997932535","https://openalex.org/W2010049312","https://openalex.org/W2963771406","https://openalex.org/W2169403347","https://openalex.org/W2152819099","https://openalex.org/W2162623007"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}