{"id":"https://openalex.org/W2013202519","doi":"https://doi.org/10.1007/s00211-006-0681-2","title":"New shape functions for triangular p-FEM using integrated Jacobi polynomials","display_name":"New shape functions for triangular p-FEM using integrated Jacobi polynomials","publication_year":2006,"publication_date":"2006-04-10","ids":{"openalex":"https://openalex.org/W2013202519","doi":"https://doi.org/10.1007/s00211-006-0681-2","mag":"2013202519"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-006-0681-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-006-0681-2","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/A5047752883","display_name":"Sven Beuchler","orcid":"https://orcid.org/0000-0001-9411-8701"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"S. Beuchler","raw_affiliation_strings":["Institute f. Computational Mathematics, Johannes-Kepler-University, Altenbergerstrasse 69, 4040, Linz, Austria","Institute f. Computational Mathematics, Johannes-Kepler-University, Linz, Austria","Institute f. Computational Mathematics, Johannes-Kepler-University, Altenbergerstrasse 69, 4040, Linz, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute f. Computational Mathematics, Johannes-Kepler-University, Altenbergerstrasse 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute f. Computational Mathematics, Johannes-Kepler-University, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute f. Computational Mathematics, Johannes-Kepler-University, Altenbergerstrasse 69, 4040, Linz, Austria#TAB#","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021823634","display_name":"Joachim Sch\u00f6berl","orcid":"https://orcid.org/0000-0002-1250-5087"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"J. Sch\u00f6berl","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstrasse 69, 4040, Linz, Austria","Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria","Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstrasse 69, 4040, Linz, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstrasse 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstrasse 69, 4040, Linz, Austria#TAB#","institution_ids":["https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021823634","https://openalex.org/A5047752883"],"corresponding_institution_ids":["https://openalex.org/I121883995","https://openalex.org/I138211613","https://openalex.org/I4210158379"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.5634,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.90806535,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"103","issue":"3","first_page":"339","last_page":"366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991000294685364,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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":0.8755229711532593},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6558422446250916},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6413056254386902},{"id":"https://openalex.org/keywords/jacobi-polynomials","display_name":"Jacobi polynomials","score":0.6109014749526978},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5344215035438538},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5245183706283569},{"id":"https://openalex.org/keywords/ansatz","display_name":"Ansatz","score":0.5216803550720215},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.49695971608161926},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.47337573766708374},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.4733410179615021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47123727202415466},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45983049273490906},{"id":"https://openalex.org/keywords/stiffness-matrix","display_name":"Stiffness matrix","score":0.4571608603000641},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4351981580257416},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.4310588240623474},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4195357859134674},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2588968575000763},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.2078143060207367},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.07237961888313293}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8755229711532593},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6558422446250916},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6413056254386902},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.6109014749526978},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5344215035438538},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5245183706283569},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.5216803550720215},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.49695971608161926},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.47337573766708374},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.4733410179615021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47123727202415466},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45983049273490906},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.4571608603000641},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4351981580257416},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.4310588240623474},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4195357859134674},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2588968575000763},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.2078143060207367},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.07237961888313293},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-006-0681-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-006-0681-2","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.69.9062","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.9062","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ricam.oeaw.ac.at/publications/reports/04/rep04-18.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W396760590","https://openalex.org/W1493181950","https://openalex.org/W1563431618","https://openalex.org/W1967345544","https://openalex.org/W1967411565","https://openalex.org/W1969923739","https://openalex.org/W1976584147","https://openalex.org/W1980005758","https://openalex.org/W1981885118","https://openalex.org/W1982316836","https://openalex.org/W1985144286","https://openalex.org/W1995613081","https://openalex.org/W1997317549","https://openalex.org/W2013473030","https://openalex.org/W2052716016","https://openalex.org/W2062201198","https://openalex.org/W2070689862","https://openalex.org/W2088438462","https://openalex.org/W2093840123","https://openalex.org/W2099314930","https://openalex.org/W2113679823","https://openalex.org/W2120062331","https://openalex.org/W2124405500","https://openalex.org/W2126897161","https://openalex.org/W2137541800","https://openalex.org/W2151163324","https://openalex.org/W2494779131","https://openalex.org/W2919730905","https://openalex.org/W3023870838","https://openalex.org/W4206037245","https://openalex.org/W4211228115","https://openalex.org/W4234174879","https://openalex.org/W4235208008","https://openalex.org/W4237153682","https://openalex.org/W4248616409","https://openalex.org/W6775794996"],"related_works":["https://openalex.org/W2353026275","https://openalex.org/W2077876398","https://openalex.org/W2804976034","https://openalex.org/W2150479521","https://openalex.org/W2419123442","https://openalex.org/W2182378258","https://openalex.org/W4285773735","https://openalex.org/W2042125339","https://openalex.org/W2303705376","https://openalex.org/W4210534097"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
