{"id":"https://openalex.org/W2064599532","doi":"https://doi.org/10.1137/s0036142998341301","title":"Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening","display_name":"Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2064599532","doi":"https://doi.org/10.1137/s0036142998341301","mag":"2064599532"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142998341301","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142998341301","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/A5050520362","display_name":"Jochen Alberty","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jochen Alberty","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036808184","display_name":"Carsten Carstensen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carsten Carstensen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050520362"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1446,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.86311425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"37","issue":"4","first_page":"1271","last_page":"1294"},"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":0.9991000294685364,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.853539764881134},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.8286467790603638},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7150242328643799},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6544958353042603},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5650484561920166},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.49272945523262024},{"id":"https://openalex.org/keywords/midpoint-method","display_name":"Midpoint method","score":0.46682044863700867},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41588035225868225},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4108677804470062}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.853539764881134},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.8286467790603638},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7150242328643799},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6544958353042603},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5650484561920166},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.49272945523262024},{"id":"https://openalex.org/C85807060","wikidata":"https://www.wikidata.org/wiki/Q17103851","display_name":"Midpoint method","level":2,"score":0.46682044863700867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41588035225868225},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4108677804470062},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142998341301","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142998341301","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W40844660","https://openalex.org/W1492326914","https://openalex.org/W1509697219","https://openalex.org/W1547403762","https://openalex.org/W1597209545","https://openalex.org/W1653619892","https://openalex.org/W1977838192","https://openalex.org/W1993247264","https://openalex.org/W2010431816","https://openalex.org/W2014382669","https://openalex.org/W2016818643","https://openalex.org/W2033287169","https://openalex.org/W2041523977","https://openalex.org/W2055929961","https://openalex.org/W2062250488","https://openalex.org/W2064940718","https://openalex.org/W2087647082","https://openalex.org/W2095993520","https://openalex.org/W3021964525","https://openalex.org/W4232082450","https://openalex.org/W4250077800","https://openalex.org/W4285719527","https://openalex.org/W4292166829","https://openalex.org/W4301021743"],"related_works":["https://openalex.org/W1596838019","https://openalex.org/W3182827720","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2064416388","https://openalex.org/W2056024094","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W1974163500"],"abstract_inverted_index":{"The":[0],"quasi-static":[1],"elastoplastic":[2],"evolution":[3],"problem":[4],"with":[5,13],"combined":[6],"isotropic":[7],"and":[8,78,105,119],"kinematic":[9],"hardening":[10],"is":[11,68,97,125],"considered":[12],"emphasis":[14],"on":[15,51,102,114],"optimal":[16],"convergence":[17,85,93,118],"of":[18,26,44,54,94],"the":[19,33,37,40,71,87,95,103,115,122,130],"lowest":[20],"order":[21],"scheme.":[22],"In":[23],"each":[24],"time-step":[25,106],"a":[27,46,52,64,79],"generalized":[28],"midpoint":[29],"scheme":[30,124,133],"such":[31],"as":[32,86],"implicit":[34,131],"Euler":[35,132],"or":[36],"Crank--Nicolson":[38,123],"scheme,":[39],"spatial":[41,117],"discretization":[42],"consists":[43],"minimizing":[45],"convex":[47],"but":[48],"nonsmooth":[49],"function":[50],"subspace":[53],"continuous":[55],"piecewise":[56,59],"linear,":[57],"resp.,":[58],"constant":[60],"trial":[61],"functions.":[62],"An":[63],"priori":[65],"error":[66],"estimate":[67],"established":[69,98],"for":[70,75],"fully-discrete":[72],"method":[73],"which,":[74],"smooth":[76,80],"data":[77],"exact":[81],"solution,":[82],"proves":[83],"linear":[84],"mesh-size":[88],"tends":[89],"to":[90],"zero.":[91],"Strong":[92],"time-derivatives":[96],"under":[99],"mild":[100],"conditions":[101],"mesh-":[104],"sizes.":[107],"Numerical":[108],"experiments":[109],"confirm":[110],"our":[111],"theoretical":[112],"predictions":[113],"improved":[116],"indicate":[120],"that":[121],"not":[126],"always":[127],"superior":[128],"over":[129],"in":[134],"practice.":[135]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}