{"id":"https://openalex.org/W2114182193","doi":"https://doi.org/10.1090/s0025-5718-06-01819-9","title":"A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm","display_name":"A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm","publication_year":2006,"publication_date":"2006-06-07","ids":{"openalex":"https://openalex.org/W2114182193","doi":"https://doi.org/10.1090/s0025-5718-06-01819-9","mag":"2114182193"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-06-01819-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-06-01819-9","pdf_url":"https://www.ams.org/mcom/2006-75-256/S0025-5718-06-01819-9/S0025-5718-06-01819-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2006-75-256/S0025-5718-06-01819-9/S0025-5718-06-01819-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036808184","display_name":"Carsten Carstensen","orcid":null},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Carsten Carstensen","raw_affiliation_strings":["Humboldt-Universit\u00c3\u00a4t zu Berlin, Unter den Linden 6, 10099 Berlin, Germany","Humboldt Universit\u00e4t zu Berlin, Unter den Linden 6, 10099, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00c3\u00a4t zu Berlin, Unter den Linden 6, 10099 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Humboldt Universit\u00e4t zu Berlin, Unter den Linden 6, 10099, Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002864107","display_name":"William Liu","orcid":"https://orcid.org/0000-0002-1852-7703"},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"W. Liu","raw_affiliation_strings":["CBS & Institute of Mathematics and Statistics, University of Kent, Canterbury, CT2 7NF, England","CBS & Institute of Mathematics and Statistics, University of Kent, Canterbury, CT2 7NF, England#TAB#"],"affiliations":[{"raw_affiliation_string":"CBS & Institute of Mathematics and Statistics, University of Kent, Canterbury, CT2 7NF, England","institution_ids":["https://openalex.org/I20581793"]},{"raw_affiliation_string":"CBS & Institute of Mathematics and Statistics, University of Kent, Canterbury, CT2 7NF, England#TAB#","institution_ids":["https://openalex.org/I20581793"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103039970","display_name":"N. Yan","orcid":"https://orcid.org/0009-0009-4070-2457"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"N. Yan","raw_affiliation_strings":["Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, People\u00e2\u0080\u0099s Republic of China","Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036808184"],"corresponding_institution_ids":["https://openalex.org/I39343248"],"apc_list":null,"apc_paid":null,"fwci":0.849,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.76092056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"75","issue":"256","first_page":"1599","last_page":"1616"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8222775459289551},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.8001627326011658},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6896864175796509},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6753647327423096},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6673120260238647},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.554006040096283},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.5472901463508606},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5438341498374939},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4865337908267975},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4583432674407959},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.4451340138912201},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4393320083618164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29519182443618774},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.103626549243927},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09777829051017761}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8222775459289551},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8001627326011658},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6896864175796509},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6753647327423096},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6673120260238647},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.554006040096283},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.5472901463508606},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5438341498374939},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4865337908267975},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4583432674407959},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.4451340138912201},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4393320083618164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29519182443618774},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.103626549243927},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09777829051017761},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-06-01819-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-06-01819-9","pdf_url":"https://www.ams.org/mcom/2006-75-256/S0025-5718-06-01819-9/S0025-5718-06-01819-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.153.8334","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.8334","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2006-75-256/S0025-5718-06-01819-9/S0025-5718-06-01819-9.pdf","raw_type":"text"},{"id":"pmh:oai:kar.kent.ac.uk:8486","is_oa":false,"landing_page_url":"https://kar.kent.ac.uk/8486/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196264","display_name":"Kent Academic Repository (University of Kent)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20581793","host_organization_name":"University of Kent","host_organization_lineage":["https://openalex.org/I20581793"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-06-01819-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-06-01819-9","pdf_url":"https://www.ams.org/mcom/2006-75-256/S0025-5718-06-01819-9/S0025-5718-06-01819-9.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2114182193.pdf","grobid_xml":"https://content.openalex.org/works/W2114182193.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W96445923","https://openalex.org/W1492326914","https://openalex.org/W1575711003","https://openalex.org/W1964688360","https://openalex.org/W1976468712","https://openalex.org/W1981146595","https://openalex.org/W1985093954","https://openalex.org/W1995315828","https://openalex.org/W1995404822","https://openalex.org/W2003836934","https://openalex.org/W2020718081","https://openalex.org/W2026265640","https://openalex.org/W2026268490","https://openalex.org/W2038490905","https://openalex.org/W2041523977","https://openalex.org/W2051043245","https://openalex.org/W2072741826","https://openalex.org/W2076458295","https://openalex.org/W2084255816","https://openalex.org/W2147070069","https://openalex.org/W2153317684","https://openalex.org/W2244987555","https://openalex.org/W2281674677","https://openalex.org/W2505585705","https://openalex.org/W2584559602","https://openalex.org/W2746144888","https://openalex.org/W4240274811","https://openalex.org/W4285719527","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W2081330222","https://openalex.org/W2965585506","https://openalex.org/W2740115552","https://openalex.org/W4302068918","https://openalex.org/W2183824625","https://openalex.org/W2020718081","https://openalex.org/W1976468712","https://openalex.org/W1575711003","https://openalex.org/W1929029113","https://openalex.org/W2119544289"],"abstract_inverted_index":{"A":[0],"posteriori":[1,25],"error":[2,26,51],"estimators":[3,27],"based":[4],"on":[5,19],"quasi-norm":[6,36],"gradient":[7],"recovery":[8],"are":[9,49],"established":[10],"for":[11,37,44,53],"the":[12,17,35,38,45,59],"finite":[13],"element":[14],"approximation":[15,50,56],"of":[16,47],"p-Laplacian":[18],"unstructured":[20],"meshes.":[21],"The":[22,41],"new":[23],"a":[24,54],"provide":[28],"both":[29],"upper":[30],"and":[31],"lower":[32],"bounds":[33],"in":[34,58],"discretization":[39],"error.":[40],"main":[42],"tools":[43],"proofs":[46],"reliability":[48],"estimates":[52],"local":[55],"operator":[57],"quasi-norm.":[60]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
