{"id":"https://openalex.org/W1994388915","doi":"https://doi.org/10.1007/s00211-011-0431-y","title":"Fast simplicial quadrature-based finite element operators using Bernstein polynomials","display_name":"Fast simplicial quadrature-based finite element operators using Bernstein polynomials","publication_year":2011,"publication_date":"2011-11-24","ids":{"openalex":"https://openalex.org/W1994388915","doi":"https://doi.org/10.1007/s00211-011-0431-y","mag":"1994388915"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-011-0431-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-011-0431-y","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/A5018380170","display_name":"Robert C. Kirby","orcid":"https://orcid.org/0009-0009-9663-8394"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert C. Kirby","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas Tech University, PO Box 1042, Lubbock, TX, 79409-1042, USA","Texas Tech University, Department of Mathematics and Statistics, PO Box 1042, 79409-1042, Lubbock, TX, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, PO Box 1042, Lubbock, TX, 79409-1042, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Texas Tech University, Department of Mathematics and Statistics, PO Box 1042, 79409-1042, Lubbock, TX, USA#TAB#","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065368794","display_name":"Kieu Tri Thinh","orcid":null},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kieu Tri Thinh","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas Tech University, PO Box 1042, Lubbock, TX, 79409-1042, USA","Texas Tech University, Department of Mathematics and Statistics, PO Box 1042, 79409-1042, Lubbock, TX, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, PO Box 1042, Lubbock, TX, 79409-1042, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Texas Tech University, Department of Mathematics and Statistics, PO Box 1042, 79409-1042, Lubbock, TX, USA#TAB#","institution_ids":["https://openalex.org/I12315562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018380170"],"corresponding_institution_ids":["https://openalex.org/I12315562"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7644,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.83453159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"121","issue":"2","first_page":"261","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991999864578247,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9991999864578247,"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":0.9991000294685364,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9988999962806702,"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/mathematics","display_name":"Mathematics","score":0.8757063150405884},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5802925825119019},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5019736289978027},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4711046814918518},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.4425179362297058},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.4297822415828705},{"id":"https://openalex.org/keywords/constant-coefficients","display_name":"Constant coefficients","score":0.4293774962425232},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.4284195303916931},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4129282236099243},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3427068591117859},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33677610754966736},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.308961421251297},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.09578484296798706},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.07058808207511902}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8757063150405884},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5802925825119019},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5019736289978027},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4711046814918518},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.4425179362297058},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.4297822415828705},{"id":"https://openalex.org/C110342517","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Constant coefficients","level":2,"score":0.4293774962425232},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.4284195303916931},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4129282236099243},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3427068591117859},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33677610754966736},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.308961421251297},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.09578484296798706},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.07058808207511902},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/s00211-011-0431-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-011-0431-y","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W51269470","https://openalex.org/W434478127","https://openalex.org/W629836974","https://openalex.org/W1492326914","https://openalex.org/W1669439817","https://openalex.org/W1971589961","https://openalex.org/W1975977317","https://openalex.org/W1994388915","https://openalex.org/W2014753166","https://openalex.org/W2022916138","https://openalex.org/W2131778920","https://openalex.org/W2138486270","https://openalex.org/W2153731524","https://openalex.org/W2158200065","https://openalex.org/W2169266183","https://openalex.org/W2330548796","https://openalex.org/W2408478130","https://openalex.org/W2592897865","https://openalex.org/W3204708751","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W2070537393","https://openalex.org/W2030322846","https://openalex.org/W2132314122","https://openalex.org/W1997096699","https://openalex.org/W2954649588","https://openalex.org/W2168893271","https://openalex.org/W4235724856","https://openalex.org/W3098355148","https://openalex.org/W2610967408","https://openalex.org/W2060308028"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}