{"id":"https://openalex.org/W1964262495","doi":"https://doi.org/10.1090/s0025-5718-97-00806-5","title":"A reduced constraint $hp$ finite element method for shell problems","display_name":"A reduced constraint $hp$ finite element method for shell problems","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1964262495","doi":"https://doi.org/10.1090/s0025-5718-97-00806-5","mag":"1964262495"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-97-00806-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-97-00806-5","pdf_url":"https://www.ams.org/mcom/1997-66-217/S0025-5718-97-00806-5/S0025-5718-97-00806-5.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/1997-66-217/S0025-5718-97-00806-5/S0025-5718-97-00806-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052530982","display_name":"Manil Suri","orcid":null},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Manil Suri","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, Maryland 21250","Department of Mathematics and Statistics , University of Maryland, Baltimore County , 1000 Hilltop Circle, Baltimore, Maryland, 21250"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, Maryland 21250","institution_ids":["https://openalex.org/I79272384"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Maryland, Baltimore County , 1000 Hilltop Circle, Baltimore, Maryland, 21250","institution_ids":["https://openalex.org/I79272384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052530982"],"corresponding_institution_ids":["https://openalex.org/I79272384"],"apc_list":null,"apc_paid":null,"fwci":3.4114,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.91199343,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"66","issue":"217","first_page":"15","last_page":"30"},"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":1.0,"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":1.0,"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":0.9995999932289124,"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":0.9979000091552734,"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":0.8287340998649597},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7649223208427429},{"id":"https://openalex.org/keywords/shell","display_name":"Shell (structure)","score":0.7493661642074585},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7145854234695435},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6193552613258362},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.573824405670166},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5131136178970337},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4822902977466583},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.47092026472091675},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.47009965777397156},{"id":"https://openalex.org/keywords/bending","display_name":"Bending","score":0.4677678942680359},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4195018708705902},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3865535855293274},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.16503095626831055}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8287340998649597},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7649223208427429},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.7493661642074585},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7145854234695435},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6193552613258362},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.573824405670166},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5131136178970337},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4822902977466583},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.47092026472091675},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.47009965777397156},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.4677678942680359},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4195018708705902},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3865535855293274},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.16503095626831055},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-97-00806-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-97-00806-5","pdf_url":"https://www.ams.org/mcom/1997-66-217/S0025-5718-97-00806-5/S0025-5718-97-00806-5.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:10.1.1.192.5112","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.5112","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/1997-66-217/S0025-5718-97-00806-5/S0025-5718-97-00806-5.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-97-00806-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-97-00806-5","pdf_url":"https://www.ams.org/mcom/1997-66-217/S0025-5718-97-00806-5/S0025-5718-97-00806-5.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":[{"id":"https://openalex.org/G177218894","display_name":null,"funder_award_id":"F49620","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1964262495.pdf","grobid_xml":"https://content.openalex.org/works/W1964262495.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W209576205","https://openalex.org/W235449542","https://openalex.org/W1565627164","https://openalex.org/W1602485028","https://openalex.org/W1666185111","https://openalex.org/W1976773674","https://openalex.org/W1995620712","https://openalex.org/W2049332222","https://openalex.org/W2071658908","https://openalex.org/W2071731034","https://openalex.org/W2088510211","https://openalex.org/W2089867244","https://openalex.org/W2149776106","https://openalex.org/W2525823748","https://openalex.org/W3149667697","https://openalex.org/W4244542537","https://openalex.org/W4255847471","https://openalex.org/W4256651668"],"related_works":["https://openalex.org/W4232993046","https://openalex.org/W2138419695","https://openalex.org/W2037289226","https://openalex.org/W2118653030","https://openalex.org/W4232176367","https://openalex.org/W2059867351","https://openalex.org/W3028663752","https://openalex.org/W2076074936","https://openalex.org/W1964262495","https://openalex.org/W2373024486"],"abstract_inverted_index":{"We":[0,18],"propose":[1],"and":[2,41],"analyze":[3],"an":[4],"$hp$":[5],"finite":[6],"element":[7],"method":[8,32],"for":[9,21],"the":[10,22,29,31,44,47,57,60,65],"Nagdhi":[11],"shell":[12,48],"model,":[13],"based":[14],"on":[15,28],"rectangular":[16],"elements.":[17],"show":[19],"that":[20,59],"bending-dominated":[23],"case,":[24],"assuming":[25],"sufficient":[26],"smoothness":[27],"solution,":[30],"is":[33],"locking":[34],"free":[35],"in":[36,64],"terms":[37],"of":[38,46],"both":[39],"$h$":[40],"$p$,":[42],"as":[43],"thickness":[45],"tends":[49],"to":[50],"zero.":[51],"Our":[52],"results":[53],"are":[54,67],"established":[55],"under":[56],"assumption":[58],"geometrical":[61],"coefficients":[62],"appearing":[63],"model":[66],"piecewise":[68],"polynomial":[69],"functions.":[70]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}