{"id":"https://openalex.org/W1966171361","doi":"https://doi.org/10.1007/s10915-011-9566-3","title":"Influence of Reference-to-Physical Frame Mappings on Approximation Properties of Discontinuous Piecewise Polynomial Spaces","display_name":"Influence of Reference-to-Physical Frame Mappings on Approximation Properties of Discontinuous Piecewise Polynomial Spaces","publication_year":2011,"publication_date":"2011-12-16","ids":{"openalex":"https://openalex.org/W1966171361","doi":"https://doi.org/10.1007/s10915-011-9566-3","mag":"1966171361"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-011-9566-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-011-9566-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5083119836","display_name":"Lorenzo Botti","orcid":"https://orcid.org/0000-0002-0511-9022"},"institutions":[{"id":"https://openalex.org/I11039511","display_name":"University of Bergamo","ror":"https://ror.org/02mbd5571","country_code":"IT","type":"education","lineage":["https://openalex.org/I11039511"]},{"id":"https://openalex.org/I19630809","display_name":"Mario Negri Institute for Pharmacological Research","ror":"https://ror.org/05aspc753","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I19630809","https://openalex.org/I4210110338","https://openalex.org/I4210153126"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Lorenzo Botti","raw_affiliation_strings":["Biomedical Engineering Department, Mario Negri Institute for Pharmacological Research, Ranica, Italy","Dipartimento di Ingegneria Industriale, Universit\u00e0 degli Studi Di Bergamo, Via Marconi 5, 24044, Dalmine, BG, Italy","Universit\u00e0 degli Studi Di Bergamo","Mario Negri Institute for Pharmacological Research"],"affiliations":[{"raw_affiliation_string":"Biomedical Engineering Department, Mario Negri Institute for Pharmacological Research, Ranica, Italy","institution_ids":["https://openalex.org/I19630809"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 degli Studi Di Bergamo, Via Marconi 5, 24044, Dalmine, BG, Italy","institution_ids":["https://openalex.org/I11039511"]},{"raw_affiliation_string":"Universit\u00e0 degli Studi Di Bergamo","institution_ids":["https://openalex.org/I11039511"]},{"raw_affiliation_string":"Mario Negri Institute for Pharmacological Research","institution_ids":["https://openalex.org/I19630809"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083119836"],"corresponding_institution_ids":["https://openalex.org/I11039511","https://openalex.org/I19630809"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1173,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.85694132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"52","issue":"3","first_page":"675","last_page":"703"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.744512677192688},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5392059683799744},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5260229706764221},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.5148186087608337},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4955083131790161},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.49004995822906494},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4503190219402313},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44163185358047485},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4166049361228943},{"id":"https://openalex.org/keywords/reference-frame","display_name":"Reference frame","score":0.4147277772426605},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3392181396484375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3291385769844055},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23682016134262085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18918296694755554}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.744512677192688},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5392059683799744},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5260229706764221},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5148186087608337},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4955083131790161},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.49004995822906494},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4503190219402313},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44163185358047485},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4166049361228943},{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.4147277772426605},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3392181396484375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3291385769844055},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23682016134262085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18918296694755554},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-011-9566-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-011-9566-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:aisberg.unibg.it:10446/31100","is_oa":false,"landing_page_url":"http://hdl.handle.net/10446/31100","pdf_url":null,"source":{"id":"https://openalex.org/S4377196347","display_name":"Aisberg (University of Bergamo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11039511","host_organization_name":"University of Bergamo","host_organization_lineage":["https://openalex.org/I11039511"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W321261355","https://openalex.org/W611401021","https://openalex.org/W628726389","https://openalex.org/W1492326914","https://openalex.org/W1964903759","https://openalex.org/W1968946064","https://openalex.org/W2013811797","https://openalex.org/W2029725158","https://openalex.org/W2036908935","https://openalex.org/W2044270153","https://openalex.org/W2052894907","https://openalex.org/W2063884077","https://openalex.org/W2078197553","https://openalex.org/W2085982684","https://openalex.org/W2091183786","https://openalex.org/W2117639063","https://openalex.org/W2125779302","https://openalex.org/W2137747286","https://openalex.org/W2169030264","https://openalex.org/W2185249804","https://openalex.org/W3101224779","https://openalex.org/W3204708751"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2120874885","https://openalex.org/W2982093746","https://openalex.org/W3043435143","https://openalex.org/W4386352437","https://openalex.org/W1993443533","https://openalex.org/W2152352276","https://openalex.org/W2155146656","https://openalex.org/W3152905387","https://openalex.org/W2170158746"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
