{"id":"https://openalex.org/W4240299029","doi":"https://doi.org/10.1007/s00211-017-0899-1","title":"Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions","display_name":"Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions","publication_year":2017,"publication_date":"2017-07-08","ids":{"openalex":"https://openalex.org/W4240299029","doi":"https://doi.org/10.1007/s00211-017-0899-1"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-017-0899-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0899-1","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/A5052672968","display_name":"Vladimir Kazeev","orcid":"https://orcid.org/0000-0002-9445-3267"},"institutions":[{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"education","lineage":["https://openalex.org/I114457229"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Vladimir Kazeev","raw_affiliation_strings":["Section of Mathematics, University of Geneva, 2\u20134 rue du Li\u00e8vre, case postale 64, 1211, Geneva, Switzerland"],"affiliations":[{"raw_affiliation_string":"Section of Mathematics, University of Geneva, 2\u20134 rue du Li\u00e8vre, case postale 64, 1211, Geneva, Switzerland","institution_ids":["https://openalex.org/I114457229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110448103","display_name":"Christoph Schwab","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Christoph Schwab","raw_affiliation_strings":["Seminar for Applied Mathematics, ETH Zurich, R\u00e4mistrasse 101, 8092, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Seminar for Applied Mathematics, ETH Zurich, R\u00e4mistrasse 101, 8092, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052672968"],"corresponding_institution_ids":["https://openalex.org/I114457229"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4776,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.81538225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"138","issue":"1","first_page":"133","last_page":"190"},"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":0.9987999796867371,"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":0.9987999796867371,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9948999881744385,"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":0.8421933054924011},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.6158667206764221},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.6037482023239136},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5502179861068726},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5216786861419678},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.48879119753837585},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.48304539918899536},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.45508909225463867},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4194967746734619},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4110743999481201},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25527530908584595},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07225322723388672}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8421933054924011},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6158667206764221},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.6037482023239136},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5502179861068726},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5216786861419678},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.48879119753837585},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.48304539918899536},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.45508909225463867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4194967746734619},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4110743999481201},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25527530908584595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07225322723388672},{"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/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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-017-0899-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0899-1","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W50417968","https://openalex.org/W1490180844","https://openalex.org/W1490602343","https://openalex.org/W1504748373","https://openalex.org/W1515678755","https://openalex.org/W1586623601","https://openalex.org/W1963973528","https://openalex.org/W1967077133","https://openalex.org/W1967859589","https://openalex.org/W1968119930","https://openalex.org/W1972883869","https://openalex.org/W1977851468","https://openalex.org/W1979098872","https://openalex.org/W1993482030","https://openalex.org/W1995406764","https://openalex.org/W2008931657","https://openalex.org/W2009674606","https://openalex.org/W2011481224","https://openalex.org/W2015148405","https://openalex.org/W2015219711","https://openalex.org/W2025267249","https://openalex.org/W2028526482","https://openalex.org/W2031216664","https://openalex.org/W2038198231","https://openalex.org/W2040532927","https://openalex.org/W2042035749","https://openalex.org/W2045050233","https://openalex.org/W2060662954","https://openalex.org/W2088025933","https://openalex.org/W2090239385","https://openalex.org/W2091861914","https://openalex.org/W2094695561","https://openalex.org/W2101402782","https://openalex.org/W2112160616","https://openalex.org/W2122710352","https://openalex.org/W2125667158","https://openalex.org/W2126566496","https://openalex.org/W2140835714","https://openalex.org/W2143321743","https://openalex.org/W2171630320","https://openalex.org/W2181385834","https://openalex.org/W2269850907","https://openalex.org/W2312543728","https://openalex.org/W2549636337","https://openalex.org/W2555826189","https://openalex.org/W2963273517","https://openalex.org/W3130571686","https://openalex.org/W3204708751","https://openalex.org/W4298356938","https://openalex.org/W4403206515","https://openalex.org/W6680966031"],"related_works":["https://openalex.org/W4245687327","https://openalex.org/W2112549839","https://openalex.org/W4254637135","https://openalex.org/W2905483137","https://openalex.org/W3034896902","https://openalex.org/W3207307312","https://openalex.org/W2282634062","https://openalex.org/W4385775167","https://openalex.org/W4386687603","https://openalex.org/W4307007469"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
