{"id":"https://openalex.org/W4244553133","doi":"https://doi.org/10.1137/s0036141000377134","title":"Quadrilateral Macroelements","display_name":"Quadrilateral Macroelements","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W4244553133","doi":"https://doi.org/10.1137/s0036141000377134"},"language":"en","primary_location":{"id":"doi:10.1137/s0036141000377134","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141000377134","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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/A5057710396","display_name":"Ming\u2010Jun Lai","orcid":"https://orcid.org/0000-0003-0274-2545"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ming-Jun Lai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044984323","display_name":"Larry L. Schumaker","orcid":"https://orcid.org/0000-0002-8537-548X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Larry L. Schumaker","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3237,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88571002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"33","issue":"5","first_page":"1107","last_page":"1116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","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/T11245","display_name":"Advanced Numerical Analysis Techniques","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/T10688","display_name":"Image and Signal Denoising Methods","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10264","display_name":"Asphalt Pavement Performance Evaluation","score":0.972000002861023,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/quadrilateral","display_name":"Quadrilateral","score":0.8857142925262451},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8297290205955505},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6840971112251282},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6634349822998047},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.523510754108429},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4647471308708191},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3895041346549988},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.08611413836479187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08324739336967468},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06317222118377686},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06187447905540466},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05071404576301575}],"concepts":[{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.8857142925262451},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8297290205955505},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6840971112251282},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6634349822998047},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.523510754108429},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4647471308708191},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3895041346549988},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.08611413836479187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08324739336967468},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06317222118377686},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06187447905540466},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05071404576301575},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036141000377134","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036141000377134","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1488258091","https://openalex.org/W1997725056","https://openalex.org/W2011951279","https://openalex.org/W2021868517","https://openalex.org/W2022469549","https://openalex.org/W2039362544","https://openalex.org/W2060210188","https://openalex.org/W2063881518","https://openalex.org/W2335241462"],"related_works":["https://openalex.org/W4225381306","https://openalex.org/W1968844089","https://openalex.org/W2953041517","https://openalex.org/W2898882437","https://openalex.org/W2164512662","https://openalex.org/W2077820952","https://openalex.org/W2352017532","https://openalex.org/W2027181523","https://openalex.org/W4231998818","https://openalex.org/W4306155867"],"abstract_inverted_index":{"Macroelements":[0],"of":[1],"smoothness":[2],"Cr":[3],"depending":[4],"only":[5],"on":[6,12],"natural":[7],"derivative":[8],"information":[9],"are":[10],"constructed":[11],"triangulated":[13],"quadrilaterals":[14],"for":[15],"all":[16],"$r":[17],"\\ge":[18],"1$.":[19],"%}MSC":[20],"codes41A1541A6341A2565D10Keywordsbivariate":[21],"splinesapproximation":[22],"orderquadrangulationscattered":[23],"data":[24],"interpolation":[25]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
