{"id":"https://openalex.org/W1975030793","doi":"https://doi.org/10.1137/s0036142999359189","title":"A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem","display_name":"A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1975030793","doi":"https://doi.org/10.1137/s0036142999359189","mag":"1975030793"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142999359189","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142999359189","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/A5080241084","display_name":"\u00c9liane B\u00e9cache","orcid":"https://orcid.org/0000-0003-4328-371X"},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"E. B\u00e9cache","raw_affiliation_strings":["Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation"],"affiliations":[{"raw_affiliation_string":"Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation","institution_ids":["https://openalex.org/I4210146116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112637460","display_name":"Patrick Joly","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Joly","raw_affiliation_strings":["Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation"],"affiliations":[{"raw_affiliation_string":"Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation","institution_ids":["https://openalex.org/I4210146116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050003174","display_name":"Chrysoula Tsogka","orcid":"https://orcid.org/0000-0002-5839-8889"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. Tsogka","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080241084"],"corresponding_institution_ids":["https://openalex.org/I4210146116"],"apc_list":null,"apc_paid":null,"fwci":6.0358,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.96388557,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"39","issue":"6","first_page":"2109","last_page":"2132"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9991999864578247,"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":0.9976000189781189,"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":0.8167316317558289},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.780250072479248},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6518729329109192},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5237503051757812},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4883808493614197},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.4722710847854614},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4617263376712799},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38486021757125854},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08199775218963623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05555269122123718}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8167316317558289},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.780250072479248},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6518729329109192},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5237503051757812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4883808493614197},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4722710847854614},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4617263376712799},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38486021757125854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08199775218963623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05555269122123718},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0036142999359189","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142999359189","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.15.8461","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.8461","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-rocq.inria.fr/%7Ebecache/elm-elast-siam-35918.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00990102v1","is_oa":false,"landing_page_url":"https://ensta.hal.science/hal-00990102","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2002, 39 (6), pp.2109-2132. &#x27E8;10.1137/S0036142999359189&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W155081664","https://openalex.org/W170527334","https://openalex.org/W376846423","https://openalex.org/W1674659126","https://openalex.org/W1708679080","https://openalex.org/W1852082788","https://openalex.org/W1987718326","https://openalex.org/W1990229001","https://openalex.org/W1992266483","https://openalex.org/W1992358193","https://openalex.org/W1998445432","https://openalex.org/W2003017040","https://openalex.org/W2008720207","https://openalex.org/W2011828708","https://openalex.org/W2012029480","https://openalex.org/W2039280894","https://openalex.org/W2041461406","https://openalex.org/W2042217043","https://openalex.org/W2062002217","https://openalex.org/W2064909895","https://openalex.org/W2070979601","https://openalex.org/W2073732659","https://openalex.org/W2073774784","https://openalex.org/W2082265254","https://openalex.org/W2082621526","https://openalex.org/W2112576941","https://openalex.org/W2314359380","https://openalex.org/W2463898732","https://openalex.org/W3149667697","https://openalex.org/W4231805235","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W4388145910","https://openalex.org/W1492103595","https://openalex.org/W1976205134","https://openalex.org/W2381570729","https://openalex.org/W1864774435","https://openalex.org/W4248336175","https://openalex.org/W946352265"],"abstract_inverted_index":{"We":[0],"construct":[1],"and":[2],"analyze":[3],"a":[4],"new":[5,52],"family":[6],"of":[7,23,43],"quadrangular":[8],"(in":[9,14],"two":[10],"dimensions)":[11,16],"or":[12],"cubic":[13],"three":[15],"mixed":[17],"finite":[18],"elements":[19,28],"for":[20,50],"the":[21,41],"approximation":[22],"elastic":[24],"wave":[25],"equations.":[26],"Our":[27],"lead":[29],"to":[30],"explicit":[31],"schemes":[32],"(via":[33],"mass":[34],"lumping),":[35],"after":[36],"time":[37],"discretization,":[38],"including":[39],"in":[40],"case":[42],"anisotropic":[44],"media.":[45],"Error":[46],"estimates":[47],"are":[48],"given":[49],"these":[51],"elements.":[53]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
