{"id":"https://openalex.org/W2090959193","doi":"https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<223::aid-nla111>3.0.co;2-2","title":"Application of a parallel algebraic multigrid method for the solution of elastoplastic shell problems","display_name":"Application of a parallel algebraic multigrid method for the solution of elastoplastic shell problems","publication_year":1997,"publication_date":"1997-05-01","ids":{"openalex":"https://openalex.org/W2090959193","doi":"https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<223::aid-nla111>3.0.co;2-2","mag":"2090959193"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1099-1506(199705/06)4:3<223::aid-nla111>3.0.co;2-2","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<223::aid-nla111>3.0.co;2-2","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/A5028444542","display_name":"S. Meynen","orcid":null},"institutions":[{"id":"https://openalex.org/I107257983","display_name":"Darmstadt University of Applied Sciences","ror":"https://ror.org/047wbd030","country_code":"DE","type":"education","lineage":["https://openalex.org/I107257983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S. Meynen","raw_affiliation_strings":["Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D-64289 Darmstadt, Germany","Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D\u201064289 Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D-64289 Darmstadt, Germany","institution_ids":["https://openalex.org/I107257983"]},{"raw_affiliation_string":"Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D\u201064289 Darmstadt, Germany","institution_ids":["https://openalex.org/I107257983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034401374","display_name":"A. Boersma","orcid":null},"institutions":[{"id":"https://openalex.org/I107257983","display_name":"Darmstadt University of Applied Sciences","ror":"https://ror.org/047wbd030","country_code":"DE","type":"education","lineage":["https://openalex.org/I107257983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Boersma","raw_affiliation_strings":["Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D-64289 Darmstadt, Germany","Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D\u201064289 Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D-64289 Darmstadt, Germany","institution_ids":["https://openalex.org/I107257983"]},{"raw_affiliation_string":"Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D\u201064289 Darmstadt, Germany","institution_ids":["https://openalex.org/I107257983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016987095","display_name":"Peter Wriggers","orcid":"https://orcid.org/0000-0002-2676-1145"},"institutions":[{"id":"https://openalex.org/I107257983","display_name":"Darmstadt University of Applied Sciences","ror":"https://ror.org/047wbd030","country_code":"DE","type":"education","lineage":["https://openalex.org/I107257983"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"P. Wriggers","raw_affiliation_strings":["Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D-64289 Darmstadt, Germany","Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D\u201064289 Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D-64289 Darmstadt, Germany","institution_ids":["https://openalex.org/I107257983"]},{"raw_affiliation_string":"Technische Hochschule Darmstadt, Institute of Mechanics, Hochschulstrasse 1, D\u201064289 Darmstadt, Germany","institution_ids":["https://openalex.org/I107257983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016987095"],"corresponding_institution_ids":["https://openalex.org/I107257983"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18364071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"3","first_page":"223","last_page":"238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9987000226974487,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/multigrid-method","display_name":"Multigrid method","score":0.9050076007843018},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.758472204208374},{"id":"https://openalex.org/keywords/mimd","display_name":"MIMD","score":0.7073705196380615},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.7054660320281982},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.633507490158081},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.5843700766563416},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5097317099571228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4786209464073181},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44721320271492004},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4010661542415619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3537176847457886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30226194858551025},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2554720640182495},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.22199320793151855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20332244038581848},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20075026154518127},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.0793837308883667}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.9050076007843018},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.758472204208374},{"id":"https://openalex.org/C21032095","wikidata":"https://www.wikidata.org/wiki/Q1149237","display_name":"MIMD","level":2,"score":0.7073705196380615},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.7054660320281982},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.633507490158081},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5843700766563416},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5097317099571228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4786209464073181},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44721320271492004},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4010661542415619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3537176847457886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30226194858551025},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2554720640182495},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.22199320793151855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20332244038581848},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20075026154518127},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0793837308883667},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1099-1506(199705/06)4:3<223::aid-nla111>3.0.co;2-2","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<223::aid-nla111>3.0.co;2-2","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W70665148","https://openalex.org/W345088445","https://openalex.org/W1970501976","https://openalex.org/W1989201563","https://openalex.org/W2038310585","https://openalex.org/W2049508106","https://openalex.org/W2054911429","https://openalex.org/W2075536798","https://openalex.org/W2078657980","https://openalex.org/W2084585970","https://openalex.org/W2089344836","https://openalex.org/W2109911863","https://openalex.org/W2129971090","https://openalex.org/W2185386517","https://openalex.org/W2491185521"],"related_works":["https://openalex.org/W4389317411","https://openalex.org/W1492522302","https://openalex.org/W2159515580","https://openalex.org/W2096454229","https://openalex.org/W4229577910","https://openalex.org/W2042199958","https://openalex.org/W2081820376","https://openalex.org/W2103149966","https://openalex.org/W2177482563","https://openalex.org/W2120298265"],"abstract_inverted_index":{"The":[0,114],"algebraic":[1,94],"multigrid":[2,95],"method":[3,27,96],"(AMG)":[4],"can":[5],"be":[6,24],"applied":[7],"as":[8,127,129],"a":[9,36,48,53,66,92,100,108],"preconditioner":[10],"for":[11,32,44],"the":[12,33,45,60,105,117,130,133,137],"conjugate":[13],"gradient":[14],"method.":[15],"Since":[16],"no":[17],"special":[18],"hierarchical":[19],"mesh":[20],"structure":[21],"has":[22],"to":[23,52],"specified,":[25],"this":[26],"is":[28,63,70,88,97,119],"very":[29],"well":[30,128],"suited":[31],"implementation":[34],"into":[35],"standard":[37],"finite":[38,49],"element":[39,50],"program.":[40],"A":[41,72],"general":[42],"concept":[43],"parallelization":[46],"of":[47,59,80,107,116,132],"code":[51],"parallel":[54,93],"machine":[55],"with":[56,84],"distributed":[57],"memory":[58],"MIMD":[61],"class":[62],"presented.":[64],"Here,":[65],"non-overlapping":[67],"domain":[68],"decomposition":[69],"employed.":[71],"non-linear":[73],"shell":[74],"theory":[75],"involving":[76],"elastoplastic":[77,112],"material":[78],"behaviour":[79],"von":[81],"Mises":[82],"type":[83],"linear":[85],"isotropic":[86],"hardening":[87],"briefly":[89],"introduced":[90],"and":[91,124,136],"derivated.":[98],"As":[99],"numerical":[101],"example":[102],"we":[103],"discuss":[104],"pinching":[106],"cylinder":[109],"undergoing":[110],"large":[111],"deformations.":[113],"performance":[115],"solver":[118],"shown":[120],"by":[121],"using":[122],"speed-up":[123],"scale-up":[125],"investigation,":[126],"influence":[131],"problem":[134],"size":[135],"plasticity.":[138],"\u00a9":[139],"1997":[140],"John":[141],"Wiley":[142],"&":[143],"Sons,":[144],"Ltd.":[145]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}