{"id":"https://openalex.org/W1976939085","doi":"https://doi.org/10.1137/s0036142900375438","title":"Postprocessing the Linear Finite Element Method","display_name":"Postprocessing the Linear Finite Element Method","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1976939085","doi":"https://doi.org/10.1137/s0036142900375438","mag":"1976939085"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142900375438","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900375438","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical 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/A5041081477","display_name":"Javier de Frutos","orcid":"https://orcid.org/0000-0002-5012-6061"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Javier de Frutos","raw_affiliation_strings":["University of Valladolid"],"affiliations":[{"raw_affiliation_string":"University of Valladolid","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071288352","display_name":"Julia Novo","orcid":"https://orcid.org/0000-0001-6667-5666"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Julia Novo","raw_affiliation_strings":["University of Valladolid"],"affiliations":[{"raw_affiliation_string":"University of Valladolid","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041081477"],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":null,"apc_paid":null,"fwci":1.8004,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.82763178,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":"3","first_page":"805","last_page":"819"},"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":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.8249799013137817},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.8173186182975769},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7228671908378601},{"id":"https://openalex.org/keywords/spectral-element-method","display_name":"Spectral element method","score":0.7127329111099243},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6484663486480713},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6316393613815308},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6181275844573975},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.6028724312782288},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.5763323903083801},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.5362346172332764},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5065919160842896},{"id":"https://openalex.org/keywords/smoothed-finite-element-method","display_name":"Smoothed finite element method","score":0.49939703941345215},{"id":"https://openalex.org/keywords/hp-fem","display_name":"hp-FEM","score":0.4986891746520996},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.48295801877975464},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47308212518692017},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46254345774650574},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4240758419036865},{"id":"https://openalex.org/keywords/finite-element-limit-analysis","display_name":"Finite element limit analysis","score":0.4126547574996948},{"id":"https://openalex.org/keywords/boundary-knot-method","display_name":"Boundary knot method","score":0.2833038568496704},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.04948216676712036}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8249799013137817},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.8173186182975769},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7228671908378601},{"id":"https://openalex.org/C38961997","wikidata":"https://www.wikidata.org/wiki/Q7575186","display_name":"Spectral element method","level":4,"score":0.7127329111099243},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6484663486480713},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6316393613815308},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6181275844573975},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.6028724312782288},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.5763323903083801},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.5362346172332764},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5065919160842896},{"id":"https://openalex.org/C177605945","wikidata":"https://www.wikidata.org/wiki/Q11007230","display_name":"Smoothed finite element method","level":5,"score":0.49939703941345215},{"id":"https://openalex.org/C4349628","wikidata":"https://www.wikidata.org/wiki/Q17027720","display_name":"hp-FEM","level":5,"score":0.4986891746520996},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.48295801877975464},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47308212518692017},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46254345774650574},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4240758419036865},{"id":"https://openalex.org/C93949632","wikidata":"https://www.wikidata.org/wiki/Q5450392","display_name":"Finite element limit analysis","level":4,"score":0.4126547574996948},{"id":"https://openalex.org/C52890695","wikidata":"https://www.wikidata.org/wiki/Q4949966","display_name":"Boundary knot method","level":4,"score":0.2833038568496704},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.04948216676712036},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142900375438","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900375438","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical 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":18,"referenced_works":["https://openalex.org/W560409768","https://openalex.org/W1559403043","https://openalex.org/W1594759473","https://openalex.org/W1595515622","https://openalex.org/W1955535265","https://openalex.org/W1980194259","https://openalex.org/W2005436751","https://openalex.org/W2022980663","https://openalex.org/W2023868969","https://openalex.org/W2041999024","https://openalex.org/W2059874690","https://openalex.org/W2059975982","https://openalex.org/W2156538787","https://openalex.org/W2408478130","https://openalex.org/W3148800415","https://openalex.org/W4253840677","https://openalex.org/W4292366025","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W2165887158","https://openalex.org/W1567939749","https://openalex.org/W1989473560","https://openalex.org/W1977906733","https://openalex.org/W2185206193","https://openalex.org/W3196813885","https://openalex.org/W2376732695","https://openalex.org/W2096199043","https://openalex.org/W2616764899","https://openalex.org/W2071835335"],"abstract_inverted_index":{"We":[0,62],"extend":[1],"the":[2,5,14,17,46,51,59,75,80],"idea":[3],"of":[4,16,48,50,66,77],"postprocessing":[6,23],"Galerkin":[7,54],"methods":[8,31],"for":[9,29,33],"dissipative":[10],"evolution":[11],"equations":[12],"to":[13],"case":[15],"linear":[18,53],"finite":[19,36,55],"element":[20,37,56],"method.":[21],"The":[22,39],"technique":[24],"has":[25],"been":[26],"developed":[27],"earlier":[28],"spectral":[30],"and":[32],"higher":[34],"order":[35,47,76],"methods.":[38],"analysis":[40],"shows":[41],"that":[42,69],"this":[43],"procedure":[44],"improves":[45],"convergence":[49,78],"piecewise":[52],"approximation":[57],"in":[58,74,79],"H1":[60],"norm.":[61,82],"show":[63],"by":[64],"means":[65],"numerical":[67],"experiments":[68],"there":[70],"is":[71],"no":[72],"improvement":[73],"L2":[81]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}