{"id":"https://openalex.org/W1969928849","doi":"https://doi.org/10.1007/s10915-014-9937-7","title":"Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes","display_name":"Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes","publication_year":2014,"publication_date":"2014-11-01","ids":{"openalex":"https://openalex.org/W1969928849","doi":"https://doi.org/10.1007/s10915-014-9937-7","mag":"1969928849"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-014-9937-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-014-9937-7","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5073388641","display_name":"Jikun Zhao","orcid":"https://orcid.org/0000-0002-5236-2180"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jikun Zhao","raw_affiliation_strings":["School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People\u2019s Republic of China","School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People's Republic of China 450001#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People's Republic of China 450001#TAB#","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102881976","display_name":"Shaochun Chen","orcid":"https://orcid.org/0000-0003-4915-5962"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaochun Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People\u2019s Republic of China","School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People's Republic of China 450001#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People's Republic of China 450001#TAB#","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100446524","display_name":"Bei Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bei Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People\u2019s Republic of China","School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People's Republic of China 450001#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People's Republic of China 450001#TAB#","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042341009","display_name":"Shipeng Mao","orcid":"https://orcid.org/0000-0003-4115-6039"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shipeng Mao","raw_affiliation_strings":["LSEC and Institute of Computational Mathematics, Chinese Academy of Sciences, P.O. Box 2719, Beijing, 100190, People\u2019s Republic of China","LSEC and Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing, People's Republic of China 100190#TAB#"],"affiliations":[{"raw_affiliation_string":"LSEC and Institute of Computational Mathematics, Chinese Academy of Sciences, P.O. Box 2719, Beijing, 100190, People\u2019s Republic of China","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"LSEC and Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing, People's Republic of China 100190#TAB#","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073388641"],"corresponding_institution_ids":["https://openalex.org/I38877650"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05301304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"64","issue":"2","first_page":"368","last_page":"400"},"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":0.9973000288009644,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8572381734848022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6969401836395264},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.6910139322280884},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6641198396682739},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6485608816146851},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6348446607589722},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5952306389808655},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5634244084358215},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5483466386795044},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5311098694801331},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4519500434398651},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4294359087944031},{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.4119825065135956},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3445543646812439},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32717645168304443},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.32100754976272583},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0972212553024292},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09599149227142334}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8572381734848022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6969401836395264},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6910139322280884},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6641198396682739},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6485608816146851},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6348446607589722},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5952306389808655},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5634244084358215},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5483466386795044},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5311098694801331},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4519500434398651},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4294359087944031},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.4119825065135956},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3445543646812439},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32717645168304443},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32100754976272583},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0972212553024292},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09599149227142334},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-014-9937-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-014-9937-7","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8399999737739563,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W46603733","https://openalex.org/W46814297","https://openalex.org/W408406386","https://openalex.org/W1525525654","https://openalex.org/W1852082788","https://openalex.org/W1972684149","https://openalex.org/W1974265153","https://openalex.org/W1977490503","https://openalex.org/W1979972914","https://openalex.org/W1988871999","https://openalex.org/W1995404822","https://openalex.org/W2020220876","https://openalex.org/W2020854958","https://openalex.org/W2031182879","https://openalex.org/W2034290095","https://openalex.org/W2042224242","https://openalex.org/W2046300718","https://openalex.org/W2052848091","https://openalex.org/W2053162126","https://openalex.org/W2055792370","https://openalex.org/W2059500686","https://openalex.org/W2061174143","https://openalex.org/W2064701272","https://openalex.org/W2070623505","https://openalex.org/W2071036364","https://openalex.org/W2073395167","https://openalex.org/W2081954723","https://openalex.org/W2082952355","https://openalex.org/W2084373905","https://openalex.org/W2094892731","https://openalex.org/W2118041950","https://openalex.org/W2127271722","https://openalex.org/W2153299448","https://openalex.org/W2167365701","https://openalex.org/W2212555698","https://openalex.org/W2491027544","https://openalex.org/W2505585705","https://openalex.org/W2562668947","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W1495993365","https://openalex.org/W1990276724","https://openalex.org/W2740115552","https://openalex.org/W2915376398","https://openalex.org/W1807403118","https://openalex.org/W1984379032","https://openalex.org/W2019283653","https://openalex.org/W1976468712","https://openalex.org/W2148982133","https://openalex.org/W1993409040"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
