{"id":"https://openalex.org/W1984217711","doi":"https://doi.org/10.1090/s0025-5718-03-01473-x","title":"Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems","display_name":"Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems","publication_year":2003,"publication_date":"2003-04-28","ids":{"openalex":"https://openalex.org/W1984217711","doi":"https://doi.org/10.1090/s0025-5718-03-01473-x","mag":"1984217711"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-03-01473-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01473-x","pdf_url":"https://www.ams.org/mcom/2003-72-244/S0025-5718-03-01473-X/S0025-5718-03-01473-X.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/2003-72-244/S0025-5718-03-01473-X/S0025-5718-03-01473-X.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113125116","display_name":"Tianxiao Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tianxiao Zhou","raw_affiliation_strings":["Aeronautical Computing Technology Research Institute, Xi\u00e2\u0080\u0099an 710068, Peoples Republic of China","Aeronautical Computing Technology Research Institute, Xi'an 710068, Peoples Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aeronautical Computing Technology Research Institute, Xi\u00e2\u0080\u0099an 710068, Peoples Republic of China","institution_ids":[]},{"raw_affiliation_string":"Aeronautical Computing Technology Research Institute, Xi'an 710068, Peoples Republic of China#TAB#","institution_ids":["https://openalex.org/I4210090176"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113125116"],"corresponding_institution_ids":["https://openalex.org/I4210090176"],"apc_list":null,"apc_paid":null,"fwci":3.5793,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91685948,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"72","issue":"244","first_page":"1655","last_page":"1673"},"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9972000122070312,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.7907512187957764},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7200084924697876},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6103360056877136},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.524740993976593},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5198524594306946},{"id":"https://openalex.org/keywords/compatibility","display_name":"Compatibility (geochemistry)","score":0.4940803349018097},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.44489967823028564},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.41111665964126587},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4009940028190613},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.31516018509864807},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.12206324934959412}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7907512187957764},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7200084924697876},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6103360056877136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.524740993976593},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5198524594306946},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.4940803349018097},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.44489967823028564},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.41111665964126587},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4009940028190613},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.31516018509864807},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.12206324934959412},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C17409809","wikidata":"https://www.wikidata.org/wiki/Q161764","display_name":"Geochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-03-01473-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01473-x","pdf_url":"https://www.ams.org/mcom/2003-72-244/S0025-5718-03-01473-X/S0025-5718-03-01473-X.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:10.1.1.192.5151","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.5151","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/2003-72-244/S0025-5718-03-01473-X/S0025-5718-03-01473-X.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.96.8598","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.96.8598","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/2003-72-244/S0025-5718-03-01473-X/S0025-5718-03-01473-X.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-03-01473-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01473-x","pdf_url":"https://www.ams.org/mcom/2003-72-244/S0025-5718-03-01473-X/S0025-5718-03-01473-X.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":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984217711.pdf","grobid_xml":"https://content.openalex.org/works/W1984217711.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W657208324","https://openalex.org/W1852082788","https://openalex.org/W1967893872","https://openalex.org/W1986608219","https://openalex.org/W1997868723","https://openalex.org/W2000996932","https://openalex.org/W2003746952","https://openalex.org/W2007187208","https://openalex.org/W2013151778","https://openalex.org/W2041523977","https://openalex.org/W2044372353","https://openalex.org/W2061423965","https://openalex.org/W2066090268","https://openalex.org/W2070663975","https://openalex.org/W2081883080","https://openalex.org/W2082749983","https://openalex.org/W2091156165","https://openalex.org/W2094192767","https://openalex.org/W2099656682","https://openalex.org/W2154640771","https://openalex.org/W2351834716","https://openalex.org/W2512059946","https://openalex.org/W2591169133","https://openalex.org/W2624756654","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947"],"abstract_inverted_index":{"How,":[0],"in":[1,19,67],"a":[2,53,68],"discretized":[3],"model,":[4],"to":[5,42,80,85],"utilize":[6],"the":[7,20,30,36],"duality":[8],"and":[9],"complementarity":[10],"of":[11,25,35,45,75],"two":[12],"saddle":[13,32],"point":[14,33],"variational":[15],"principles":[16],"is":[17,40,57,83],"considered":[18],"paper.":[21],"A":[22],"homology":[23],"family":[24],"optimality":[26],"conditions,":[27],"different":[28],"from":[29],"conventional":[31],"conditions":[34],"domain-decomposed":[37],"Hellinger\u2013Reissner":[38],"principle,":[39],"derived":[41],"enhance":[43],"stability":[44],"hybrid":[46,55],"finite":[47],"element":[48],"schemes.":[49],"Based":[50],"on":[51],"this,":[52],"stabilized":[54],"method":[56],"presented":[58],"by":[59],"associating":[60],"element-interior":[61],"displacement":[62],"with":[63,78],"an":[64],"element-boundary":[65],"one":[66],"nonconforming":[69],"manner.":[70],"In":[71],"addition,":[72],"energy":[73],"compatibility":[74],"strain-enriched":[76],"displacements":[77],"respect":[79],"stress":[81],"terms":[82],"introduced":[84],"circumvent":[86],"Poisson-locking.":[87]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}