{"id":"https://openalex.org/W2162018488","doi":"https://doi.org/10.1002/zamm.201400087","title":"Implicit co\u2010simulation methods: Stability and convergence analysis for solver coupling approaches with algebraic constraints","display_name":"Implicit co\u2010simulation methods: Stability and convergence analysis for solver coupling approaches with algebraic constraints","publication_year":2015,"publication_date":"2015-11-02","ids":{"openalex":"https://openalex.org/W2162018488","doi":"https://doi.org/10.1002/zamm.201400087","mag":"2162018488"},"language":"en","primary_location":{"id":"doi:10.1002/zamm.201400087","doi":"https://doi.org/10.1002/zamm.201400087","is_oa":false,"landing_page_url":"https://doi.org/10.1002/zamm.201400087","pdf_url":null,"source":{"id":"https://openalex.org/S67807940","display_name":"ZAMM \u2010 Journal of Applied Mathematics and Mechanics / Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik","issn_l":"0044-2267","issn":["0044-2267","1521-4001"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"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":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik","raw_type":"journal-article"},"volume":null,"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/A5019083941","display_name":"Bernhard Schweizer","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bernhard Schweizer","raw_affiliation_strings":["Department of Mechanical Engineering Institute of Applied Dynamics, Technical University Darmstadt Germany","Department of Mechanical Engineering, Institute of Applied Dynamics, Technical University Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering Institute of Applied Dynamics, Technical University Darmstadt Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Institute of Applied Dynamics, Technical University Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100457975","display_name":"Pu Li","orcid":"https://orcid.org/0000-0001-7771-5598","observed_orcids":["https://orcid.org/0000-0001-7771-5598"]},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Pu Li","raw_affiliation_strings":["Department of Mechanical Engineering Institute of Applied Dynamics, Technical University Darmstadt Germany","Department of Mechanical Engineering, Institute of Applied Dynamics, Technical University Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering Institute of Applied Dynamics, Technical University Darmstadt Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Institute of Applied Dynamics, Technical University Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007847292","display_name":"Daixing Lu","orcid":"https://orcid.org/0000-0002-4115-6859","observed_orcids":["https://orcid.org/0000-0002-4115-6859"]},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daixing Lu","raw_affiliation_strings":["Department of Mechanical Engineering Institute of Applied Dynamics, Technical University Darmstadt Germany","Department of Mechanical Engineering, Institute of Applied Dynamics, Technical University Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering Institute of Applied Dynamics, Technical University Darmstadt Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Institute of Applied Dynamics, Technical University Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019083941"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":1.9874,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.86746118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"96","issue":"8","first_page":"986","last_page":"1012"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.8148999810218811,"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"}},"topics":[{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.8148999810218811,"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/T11416","display_name":"Numerical methods for differential equations","score":0.09139999747276306,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.03920000046491623,"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/co-simulation","display_name":"co-simulation","score":0.8600000143051147},{"id":"https://openalex.org/keywords/algebraic-constraints","display_name":"algebraic constraints","score":0.9070000052452087},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.7300000190734863},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.949999988079071},{"id":"https://openalex.org/keywords/baumgarte-stabilization","display_name":"Baumgarte stabilization","score":0.9850000143051147},{"id":"https://openalex.org/keywords/projection-method","display_name":"projection method","score":0.8870000243186951},{"id":"https://openalex.org/keywords/eigenvalue-analysis","display_name":"eigenvalue analysis","score":0.7059999704360962},{"id":"https://openalex.org/keywords/solver-coupling","display_name":"solver coupling","score":0.4269999861717224}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5415942072868347},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5148581862449646},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5130466222763062},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5036281943321228},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4982879161834717},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4832056760787964},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4732570946216583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45858973264694214},{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.45158299803733826},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.439973384141922},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4287850260734558},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.428204208612442},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.41850823163986206},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4047962427139282},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3239838778972626},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3054112195968628},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23628762364387512},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22210097312927246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12807193398475647},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11779356002807617},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/zamm.201400087","doi":"https://doi.org/10.1002/zamm.201400087","is_oa":false,"landing_page_url":"https://doi.org/10.1002/zamm.201400087","pdf_url":null,"source":{"id":"https://openalex.org/S67807940","display_name":"ZAMM \u2010 Journal of Applied Mathematics and Mechanics / Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik","issn_l":"0044-2267","issn":["0044-2267","1521-4001"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"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":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik","raw_type":"journal-article"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:77667","doi":null,"is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/77667/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W177669065","https://openalex.org/W400107076","https://openalex.org/W590713729","https://openalex.org/W1116666713","https://openalex.org/W1509923322","https://openalex.org/W1564487342","https://openalex.org/W1915164686","https://openalex.org/W1967957321","https://openalex.org/W1972565548","https://openalex.org/W1974990824","https://openalex.org/W1975537977","https://openalex.org/W1980662228","https://openalex.org/W1982586910","https://openalex.org/W1997361400","https://openalex.org/W2007663981","https://openalex.org/W2009468778","https://openalex.org/W2012473770","https://openalex.org/W2025034283","https://openalex.org/W2028924086","https://openalex.org/W2030207545","https://openalex.org/W2035142260","https://openalex.org/W2035851348","https://openalex.org/W2042388195","https://openalex.org/W2048873581","https://openalex.org/W2066615944","https://openalex.org/W2069474411","https://openalex.org/W2089970152","https://openalex.org/W2092692232","https://openalex.org/W2093832227","https://openalex.org/W2121945344","https://openalex.org/W2125024402","https://openalex.org/W2141975864","https://openalex.org/W2165207929","https://openalex.org/W2166672530","https://openalex.org/W2261039555","https://openalex.org/W2333601811","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2901773673","https://openalex.org/W2133366228","https://openalex.org/W1970202043","https://openalex.org/W2102789413","https://openalex.org/W2096467061","https://openalex.org/W1532287630","https://openalex.org/W2940603871","https://openalex.org/W2052500721","https://openalex.org/W2082296130","https://openalex.org/W4299508867"],"abstract_inverted_index":{"The":[0,24,56,85,139,176],"analysis":[1,87],"of":[2,6,14,36,68,88,100,136,171,178,186],"the":[3,30,37,47,66,69,98,107,121,134,159,179,184,187],"numerical":[4,111],"stability":[5,86,108,117,135,177,185],"co\u2010simulation":[7,89,137,141,160,166],"methods":[8,58,90],"with":[9,91,163],"algebraic":[10,92,154],"constraints":[11,93],"is":[12,27,41,54,94,129,174],"subject":[13],"this":[15],"manuscript.":[16],"Three":[17],"different":[18,62],"implicit":[19],"coupling":[20,39,189],"schemes":[21],"are":[22,59],"investigated.":[23],"first":[25],"method":[26,40],"based":[28,119],"on":[29,120],"well\u2010known":[31],"Baumgarte":[32],"stabilization":[33],"technique.":[34],"Basis":[35],"second":[38],"a":[42,50,101,125,164,168],"weighted":[43],"multiplier":[44],"approach.":[45],"Within":[46],"third":[48],"method,":[49,190],"classical":[51],"projection":[52],"technique":[53],"applied.":[55],"three":[57,77],"discussed":[60],"for":[61,110,132],"approximation":[63],"orders.":[64],"Concerning":[65],"decomposition":[67],"overall":[70],"system":[71,170],"into":[72],"subsystems,":[73],"we":[74],"consider":[75],"all":[76],"possible":[78],"approaches,":[79],"i.e.":[80,115],"force/force\u2010,":[81],"force/displacement\u2010":[82],"and":[83],"displacement/displacement\u2010decomposition.":[84],"inherently":[95],"related":[96],"to":[97],"definition":[99,109],"test":[102,142,161],"model.":[103],"Bearing":[104],"in":[105],"mind":[106],"time":[112],"integration":[113],"schemes,":[114],"Dahlquist's":[116],"theory":[118],"linear":[122,126,165,169],"single\u2010mass":[123],"oscillator,":[124],"two\u2010mass":[127,140],"oscillator":[128],"used":[130],"here":[131],"analyzing":[133],"methods.":[138],"model":[143,162],"may":[144],"be":[145,193],"regarded":[146],"as":[147],"two":[148],"Dahlquist":[149],"equations,":[150],"coupled":[151],"by":[152,195],"an":[153,196],"constraint":[155],"equation.":[156],"By":[157],"discretizing":[158],"approach,":[167],"recurrence":[172,180],"equations":[173],"obtained.":[175],"system,":[181],"which":[182],"reflects":[183],"underlying":[188],"can":[191],"simply":[192],"determined":[194],"eigenvalue":[197],"analysis.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2025-10-10T00:00:00"}
