{"id":"https://openalex.org/W1498180328","doi":"https://doi.org/10.1007/978-3-540-31852-1_23","title":"The Strengthened Cauchy-Bunyakowski-Schwarz Inequality for n-Simplicial Linear Finite Elements","display_name":"The Strengthened Cauchy-Bunyakowski-Schwarz Inequality for n-Simplicial Linear Finite Elements","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1498180328","doi":"https://doi.org/10.1007/978-3-540-31852-1_23","mag":"1498180328"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-31852-1_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-31852-1_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5110200419","display_name":"Jan Brandts","orcid":null},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jan Brandts","raw_affiliation_strings":["Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Netherlands","institution_ids":["https://openalex.org/I865915315","https://openalex.org/I887064364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061709350","display_name":"Sergey Korotov","orcid":"https://orcid.org/0000-0003-1995-2450"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"Sergey Korotov","raw_affiliation_strings":["Dept. of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103036562","display_name":"Michal K\u0159\u0131\u0301\u017eek","orcid":"https://orcid.org/0000-0002-5271-5038"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michal K\u0159\u00ed\u017eek","raw_affiliation_strings":["Mathematical Institute, Academy of Sciences, Prague, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences, Prague, Czech Republic","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.261,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.88225256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"203","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9990000128746033,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983000159263611,"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/cauchy-distribution","display_name":"Cauchy distribution","score":0.646119236946106},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.628592848777771},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5877016186714172},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.564948558807373},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5584177374839783},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.47246551513671875},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4301973879337311},{"id":"https://openalex.org/keywords/cauchy\u2013schwarz-inequality","display_name":"Cauchy\u2013Schwarz inequality","score":0.42932212352752686},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4169962406158447},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36641061305999756},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3652273714542389},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3573366701602936},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.2245877981185913},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21913281083106995},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2181524932384491},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11926883459091187}],"concepts":[{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.646119236946106},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.628592848777771},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5877016186714172},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.564948558807373},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5584177374839783},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.47246551513671875},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4301973879337311},{"id":"https://openalex.org/C184701930","wikidata":"https://www.wikidata.org/wiki/Q190546","display_name":"Cauchy\u2013Schwarz inequality","level":3,"score":0.42932212352752686},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4169962406158447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36641061305999756},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3652273714542389},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3573366701602936},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.2245877981185913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21913281083106995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2181524932384491},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11926883459091187},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-31852-1_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-31852-1_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W88931730","https://openalex.org/W595984191","https://openalex.org/W1503503090","https://openalex.org/W2040022789","https://openalex.org/W2046564444","https://openalex.org/W2050984357","https://openalex.org/W2072357077","https://openalex.org/W2083054768","https://openalex.org/W2131479138","https://openalex.org/W2151327799","https://openalex.org/W2325955172","https://openalex.org/W4243472923"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W1973978937","https://openalex.org/W4287023968","https://openalex.org/W4288279572","https://openalex.org/W4286909116","https://openalex.org/W2378743128"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
