{"id":"https://openalex.org/W1966854677","doi":"https://doi.org/10.1090/s0025-5718-98-00942-9","title":"Derivative superconvergent points in finite element solutions of Poisson\u2019s equation for the serendipity and intermediate families - a theoretical justification","display_name":"Derivative superconvergent points in finite element solutions of Poisson\u2019s equation for the serendipity and intermediate families - a theoretical justification","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1966854677","doi":"https://doi.org/10.1090/s0025-5718-98-00942-9","mag":"1966854677"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-98-00942-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-98-00942-9","pdf_url":"https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00942-9/S0025-5718-98-00942-9.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/1998-67-222/S0025-5718-98-00942-9/S0025-5718-98-00942-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100406520","display_name":"Zhimin Zhang","orcid":"https://orcid.org/0000-0002-0531-9112"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhimin Zhang","raw_affiliation_strings":["Department of Mathematics, Texas Tech University, Lubbock, Texas 79409","Department of Mathematics , Texas Tech University , Lubbock, Texas, 79409"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas Tech University, Lubbock, Texas 79409","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics , Texas Tech University , Lubbock, Texas, 79409","institution_ids":["https://openalex.org/I12315562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100406520"],"corresponding_institution_ids":["https://openalex.org/I12315562"],"apc_list":null,"apc_paid":null,"fwci":0.5326,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.61571722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"67","issue":"222","first_page":"541","last_page":"552"},"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":0.9994999766349792,"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":0.9994999766349792,"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/T10514","display_name":"Numerical methods in engineering","score":0.9954000115394592,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.9852405786514282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8357367515563965},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6862881183624268},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5098785161972046},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49799013137817383},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.489053338766098},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44173675775527954},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4164186120033264},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3158761262893677},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0609566867351532},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.059646010398864746}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9852405786514282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8357367515563965},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6862881183624268},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5098785161972046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49799013137817383},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.489053338766098},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44173675775527954},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4164186120033264},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3158761262893677},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0609566867351532},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.059646010398864746},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-98-00942-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-98-00942-9","pdf_url":"https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00942-9/S0025-5718-98-00942-9.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:10.1.1.192.5223","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.5223","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/journals/mcom/2002-71-240/S0025-5718-01-01398-9/S0025-5718-01-01398-9.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-98-00942-9","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-98-00942-9","pdf_url":"https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00942-9/S0025-5718-98-00942-9.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":[{"display_name":"Sustainable cities and communities","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3233336813","display_name":"Mathematical Sciences:  Finite Element Superconvergence     in Computational Mechanics","funder_award_id":"9626193","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1966854677.pdf","grobid_xml":"https://content.openalex.org/works/W1966854677.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1595515622","https://openalex.org/W2005601391","https://openalex.org/W2028783611","https://openalex.org/W2122074662","https://openalex.org/W2324246481","https://openalex.org/W2586773500","https://openalex.org/W3023870838"],"related_works":["https://openalex.org/W2964478211","https://openalex.org/W4254088695","https://openalex.org/W2367880982","https://openalex.org/W111458089","https://openalex.org/W2005628797","https://openalex.org/W1996772794","https://openalex.org/W2502579552","https://openalex.org/W2011851063","https://openalex.org/W2360811052","https://openalex.org/W1964128728"],"abstract_inverted_index":{"Finite":[0],"element":[1,35,67,75],"derivative":[2],"superconvergent":[3,30,88],"points":[4,31,89],"for":[5,32,65],"the":[6,14,23,33,44,49,58,61,79,91],"Poisson":[7],"equation":[8],"under":[9],"local":[10,19],"rectangular":[11],"mesh":[12,21],"(in":[13,22],"two":[15],"dimensional":[16,25],"case)":[17],"and":[18,47],"brick":[20],"three":[24],"situation)":[26],"are":[27,63],"investigated.":[28],"All":[29],"finite":[34,66,74],"space":[36,46,76,82],"of":[37,57,69,90],"any":[38],"order":[39,70],"that":[40,77],"is":[41],"contained":[42],"in":[43],"tensor-product":[45],"contains":[48,78],"intermediate":[50],"family":[51],"can":[52],"be":[53],"predicted.":[54],"In":[55],"case":[56],"serendipity":[59,93],"family,":[60],"results":[62],"given":[64],"spaces":[68],"below":[71],"7.":[72],"Any":[73],"complete":[80],"polynomial":[81],"will":[83],"have":[84],"at":[85],"least":[86],"all":[87],"related":[92],"family.":[94]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}