{"id":"https://openalex.org/W1968609617","doi":"https://doi.org/10.1007/s00366-012-0305-7","title":"Geometrical validity of high-order triangular finite elements","display_name":"Geometrical validity of high-order triangular finite elements","publication_year":2012,"publication_date":"2012-12-06","ids":{"openalex":"https://openalex.org/W1968609617","doi":"https://doi.org/10.1007/s00366-012-0305-7","mag":"1968609617"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-012-0305-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-012-0305-7","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"Engineering with Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbi.uliege.be/handle/2268/129806","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029008091","display_name":"Amaury Johnen","orcid":null},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"A. Johnen","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Montefiore Institute B28, Universit\u00e9 de Li\u00e8ge, Grande Traverse 10, 4000, Li\u00e8ge, Belgium","Department of Electrical Engineering and Computer Science, Montefiore Institute B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium 4000#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Montefiore Institute B28, Universit\u00e9 de Li\u00e8ge, Grande Traverse 10, 4000, Li\u00e8ge, Belgium","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Montefiore Institute B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium 4000#TAB#","institution_ids":["https://openalex.org/I157674565"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008196958","display_name":"Jean\u2010Fran\u00e7ois Remacle","orcid":"https://orcid.org/0000-0002-4798-6458"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"J.-F. Remacle","raw_affiliation_strings":["Institute of Mechanics, Materials and Civil Engineering, Universit\u00e9 catholique de Louvain, Avenue Georges-Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","Institute of Mechanics, Materials and Civil Engineering, Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium 1348#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Mechanics, Materials and Civil Engineering, Universit\u00e9 catholique de Louvain, Avenue Georges-Lema\u00eetre 4, 1348, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Institute of Mechanics, Materials and Civil Engineering, Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium 1348#TAB#","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037121552","display_name":"Christophe Geuzaine","orcid":"https://orcid.org/0000-0001-9970-358X"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"C. Geuzaine","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Montefiore Institute B28, Universit\u00e9 de Li\u00e8ge, Grande Traverse 10, 4000, Li\u00e8ge, Belgium","Department of Electrical Engineering and Computer Science, Montefiore Institute B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium 4000#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Montefiore Institute B28, Universit\u00e9 de Li\u00e8ge, Grande Traverse 10, 4000, Li\u00e8ge, Belgium","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Montefiore Institute B28, Universit\u00e9 de Li\u00e8ge, Li\u00e8ge, Belgium 4000#TAB#","institution_ids":["https://openalex.org/I157674565"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029008091"],"corresponding_institution_ids":["https://openalex.org/I157674565"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0479,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.75203434,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"3","first_page":"375","last_page":"382"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis 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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis 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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9939000010490417,"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":0.9922000169754028,"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/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.9305723905563354},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.9140759706497192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6926968097686768},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5091227889060974},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.47278428077697754},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.45104101300239563},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4146956205368042},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4141272008419037},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38735419511795044},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35743391513824463},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29216164350509644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20266038179397583},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.0548228919506073}],"concepts":[{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.9305723905563354},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.9140759706497192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6926968097686768},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5091227889060974},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.47278428077697754},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.45104101300239563},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4146956205368042},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4141272008419037},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38735419511795044},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35743391513824463},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29216164350509644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20266038179397583},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0548228919506073},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00366-012-0305-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-012-0305-7","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:152274","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/152274","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Engineering with Computers : an international journal of simulation-based engineering, Vol. 30, no.3, p. 375-382 (2012)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:orbi.ulg.ac.be:2268/129806","is_oa":true,"landing_page_url":"https://orbi.uliege.be/handle/2268/129806","pdf_url":null,"source":{"id":"https://openalex.org/S4306400651","display_name":"Open Repository and Bibliography (University of Li\u00e8ge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157674565","host_organization_name":"University of Li\u00e8ge","host_organization_lineage":["https://openalex.org/I157674565"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Engineering with Computers, 30 (3), 375-382 (2014)","raw_type":"peer reviewed"}],"best_oa_location":{"id":"pmh:oai:orbi.ulg.ac.be:2268/129806","is_oa":true,"landing_page_url":"https://orbi.uliege.be/handle/2268/129806","pdf_url":null,"source":{"id":"https://openalex.org/S4306400651","display_name":"Open Repository and Bibliography (University of Li\u00e8ge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157674565","host_organization_name":"University of Li\u00e8ge","host_organization_lineage":["https://openalex.org/I157674565"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Engineering with Computers, 30 (3), 375-382 (2014)","raw_type":"peer reviewed"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W206337890","https://openalex.org/W1587477963","https://openalex.org/W1975323734","https://openalex.org/W1985871045","https://openalex.org/W1988426486","https://openalex.org/W2003173111","https://openalex.org/W2017677093","https://openalex.org/W2032408602","https://openalex.org/W2037315770","https://openalex.org/W2063091706","https://openalex.org/W2084504874","https://openalex.org/W2085473169","https://openalex.org/W2090905095","https://openalex.org/W2112311198","https://openalex.org/W3132178687"],"related_works":["https://openalex.org/W2006953814","https://openalex.org/W2542637001","https://openalex.org/W2160914958","https://openalex.org/W4322576596","https://openalex.org/W2131355234","https://openalex.org/W1972782945","https://openalex.org/W3212981098","https://openalex.org/W4221090543","https://openalex.org/W2136751449","https://openalex.org/W2130622405"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
