{"id":"https://openalex.org/W1992365901","doi":"https://doi.org/10.1007/s00366-010-0176-8","title":"A mesh optimization algorithm to decrease the maximum interpolation error of linear triangular finite elements","display_name":"A mesh optimization algorithm to decrease the maximum interpolation error of linear triangular finite elements","publication_year":2010,"publication_date":"2010-02-23","ids":{"openalex":"https://openalex.org/W1992365901","doi":"https://doi.org/10.1007/s00366-010-0176-8","mag":"1992365901"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-010-0176-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-010-0176-8","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049981295","display_name":"Ulrich Hetmaniuk","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I4210138199","display_name":"University of Washington Applied Physics Laboratory","ror":"https://ror.org/03d17d270","country_code":"US","type":"facility","lineage":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"U. Hetmaniuk","raw_affiliation_strings":["Department of Applied Mathematics, University of Washington, P.O. Box 352420, Seattle, WA, 98195-2420, USA","University of Washington, Department of Applied Mathematics, P.O. Box 352420, 98195-2420, Seattle, WA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Washington, P.O. Box 352420, Seattle, WA, 98195-2420, USA","institution_ids":["https://openalex.org/I4210138199","https://openalex.org/I201448701"]},{"raw_affiliation_string":"University of Washington, Department of Applied Mathematics, P.O. Box 352420, 98195-2420, Seattle, WA, USA#TAB#","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085988232","display_name":"Patrick Knupp","orcid":"https://orcid.org/0000-0003-4217-6787"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Knupp","raw_affiliation_strings":["Sandia National Laboratories, P.O. Box 5800, MS 1318, Albuquerque, NM, 87185-1318, USA","Sandia National Laboratories, P.O. Box 5800, MS 1318, 87185-1318, Albuquerque, NM, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, P.O. Box 5800, MS 1318, Albuquerque, NM, 87185-1318, USA","institution_ids":["https://openalex.org/I192454743"]},{"raw_affiliation_string":"Sandia National Laboratories, P.O. Box 5800, MS 1318, 87185-1318, Albuquerque, NM, USA#TAB#","institution_ids":["https://openalex.org/I192454743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049981295"],"corresponding_institution_ids":["https://openalex.org/I201448701","https://openalex.org/I4210138199"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.346,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62091831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"1","first_page":"3","last_page":"15"},"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":0.9957000017166138,"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":0.9957000017166138,"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":0.9912999868392944,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9853000044822693,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7008578181266785},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6913919448852539},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6294514536857605},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.624962568283081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5891802310943604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4951423704624176},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.45743611454963684},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4437611997127533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31862592697143555},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1444142460823059},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08067625761032104},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.06294891238212585}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7008578181266785},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6913919448852539},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6294514536857605},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.624962568283081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5891802310943604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4951423704624176},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.45743611454963684},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4437611997127533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31862592697143555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1444142460823059},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08067625761032104},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.06294891238212585},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00366-010-0176-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-010-0176-8","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W50634792","https://openalex.org/W50718196","https://openalex.org/W588957213","https://openalex.org/W1480098164","https://openalex.org/W1494920804","https://openalex.org/W1573835018","https://openalex.org/W1973071447","https://openalex.org/W1986319660","https://openalex.org/W2012229545","https://openalex.org/W2015400797","https://openalex.org/W2016518303","https://openalex.org/W2019138202","https://openalex.org/W2030982479","https://openalex.org/W2032088676","https://openalex.org/W2043742248","https://openalex.org/W2048248082","https://openalex.org/W2071415238","https://openalex.org/W2077658674","https://openalex.org/W2083891755","https://openalex.org/W2091206953","https://openalex.org/W2101577814","https://openalex.org/W2117377495","https://openalex.org/W2123194316","https://openalex.org/W2123260480","https://openalex.org/W2127098673","https://openalex.org/W2168032419","https://openalex.org/W2171737318","https://openalex.org/W2283787148","https://openalex.org/W3012317737","https://openalex.org/W4233241017","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2291214609","https://openalex.org/W2985206855","https://openalex.org/W3183609115","https://openalex.org/W2387056800","https://openalex.org/W2389908107","https://openalex.org/W2354295809","https://openalex.org/W2108850688","https://openalex.org/W2532653122","https://openalex.org/W2359833404","https://openalex.org/W2378343395"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}