{"id":"https://openalex.org/W2069828644","doi":"https://doi.org/10.1007/bf02113891","title":"Degenerate polynomial patches of degree 11 for almostGC 2 interpolation over triangles","display_name":"Degenerate polynomial patches of degree 11 for almostGC 2 interpolation over triangles","publication_year":1993,"publication_date":"1993-11-01","ids":{"openalex":"https://openalex.org/W2069828644","doi":"https://doi.org/10.1007/bf02113891","mag":"2069828644"},"language":"en","primary_location":{"id":"doi:10.1007/bf02113891","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02113891","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ris.utwente.nl/ws/files/6708267/Hogervorst_10.1007_BF02113891.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030176800","display_name":"B.J. Hogervorst","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Bas J. Hogervorst","raw_affiliation_strings":["Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500, AE Enschede, The Netherlands","[Department of Applied Mathematics, University of Twente, AE Enschede, The Netherlands]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500, AE Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"[Department of Applied Mathematics, University of Twente, AE Enschede, The Netherlands]","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065962307","display_name":"Ruud van Damme","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ruud van Damme","raw_affiliation_strings":["Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500, AE Enschede, The Netherlands","[Department of Applied Mathematics, University of Twente, AE Enschede, The Netherlands]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500, AE Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"[Department of Applied Mathematics, University of Twente, AE Enschede, The Netherlands]","institution_ids":["https://openalex.org/I94624287"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0541,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7623228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":"11","first_page":"557","last_page":"568"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9440000057220459,"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":0.8513922691345215},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.8033132553100586},{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.6882515549659729},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.656134307384491},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.6495408415794373},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.6277147531509399},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5836687684059143},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5308961272239685},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.486956924200058},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.48034656047821045},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.4761671721935272},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4069176912307739},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4050734043121338},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.27361345291137695}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8513922691345215},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8033132553100586},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.6882515549659729},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.656134307384491},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.6495408415794373},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.6277147531509399},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5836687684059143},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5308961272239685},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.486956924200058},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.48034656047821045},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.4761671721935272},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4069176912307739},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4050734043121338},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.27361345291137695},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02113891","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02113891","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:publications/dbdde6aa-155d-4047-a42e-27080f91051d","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/dbdde6aa-155d-4047-a42e-27080f91051d","pdf_url":"https://ris.utwente.nl/ws/files/6708267/Hogervorst_10.1007_BF02113891.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hogervorst, B J, Hogervorst, B J & van Damme, R M J 1993, 'Degenerate polynomial patches of degree II for almost GC2 interpolation over triangles', Numerical algorithms, vol. 5, no. 11, pp. 557-568. https://doi.org/10.1007/BF02113891","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ris.utwente.nl:publications/dbdde6aa-155d-4047-a42e-27080f91051d","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/dbdde6aa-155d-4047-a42e-27080f91051d","pdf_url":"https://ris.utwente.nl/ws/files/6708267/Hogervorst_10.1007_BF02113891.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hogervorst, B J, Hogervorst, B J & van Damme, R M J 1993, 'Degenerate polynomial patches of degree II for almost GC2 interpolation over triangles', Numerical algorithms, vol. 5, no. 11, pp. 557-568. https://doi.org/10.1007/BF02113891","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2069828644.pdf","grobid_xml":"https://content.openalex.org/works/W2069828644.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1483448158","https://openalex.org/W1523555932","https://openalex.org/W1551207461","https://openalex.org/W1961201749","https://openalex.org/W1973783117","https://openalex.org/W1975865545","https://openalex.org/W2034966370","https://openalex.org/W2077553158","https://openalex.org/W2101468456","https://openalex.org/W2114716229","https://openalex.org/W2138517065","https://openalex.org/W2162870748","https://openalex.org/W2314421467","https://openalex.org/W4285719527","https://openalex.org/W4301911764"],"related_works":["https://openalex.org/W2348936417","https://openalex.org/W2358657468","https://openalex.org/W2078578864","https://openalex.org/W3045175454","https://openalex.org/W2053133731","https://openalex.org/W2354544900","https://openalex.org/W2271507767","https://openalex.org/W2366457893","https://openalex.org/W2237493750","https://openalex.org/W2149479196"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}