{"id":"https://openalex.org/W2016289167","doi":"https://doi.org/10.1002/zamm.200610286","title":"Time\u2010step adaptivity in variational integrators with application to contact problems","display_name":"Time\u2010step adaptivity in variational integrators with application to contact problems","publication_year":2006,"publication_date":"2006-10-05","ids":{"openalex":"https://openalex.org/W2016289167","doi":"https://doi.org/10.1002/zamm.200610286","mag":"2016289167"},"language":"en","primary_location":{"id":"doi:10.1002/zamm.200610286","doi":"https://doi.org/10.1002/zamm.200610286","is_oa":false,"landing_page_url":"https://doi.org/10.1002/zamm.200610286","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":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"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/A5052120629","display_name":"Klas Modin","orcid":"https://orcid.org/0000-0001-6900-1122","observed_orcids":["https://orcid.org/0000-0001-6900-1122"]},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"K. Modin","raw_affiliation_strings":["Phone: +46 31 337 3276","Centre for Mathematical Sciences Lund University Box 118 221 00 Lund Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Phone: +46 31 337 3276","institution_ids":[]},{"raw_affiliation_string":"Centre for Mathematical Sciences Lund University Box 118 221 00 Lund Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059173732","display_name":"Claus F\u00fchrer","orcid":"https://orcid.org/0000-0003-4852-3575","observed_orcids":["https://orcid.org/0000-0003-4852-3575"]},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"C. F\u00fchrer","raw_affiliation_strings":["Centre for Mathematical Sciences, Lund University, Box 118, 221 00 Lund, Sweden","Centre for Mathematical Sciences Lund University Box 118 221 00 Lund Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, Lund University, Box 118, 221 00 Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]},{"raw_affiliation_string":"Centre for Mathematical Sciences Lund University Box 118 221 00 Lund Sweden","institution_ids":["https://openalex.org/I187531555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052120629","https://openalex.org/A5059173732"],"corresponding_institution_ids":["https://openalex.org/I187531555"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":1.9933,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85398773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"86","issue":"10","first_page":"785","last_page":"794"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9487000107765198,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9487000107765198,"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":0.039799999445676804,"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"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.0026000000070780516,"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/variational-integrators","display_name":"variational integrators","score":0.9070000052452087},{"id":"https://openalex.org/keywords/step-size-selection","display_name":"step size selection","score":0.8730000257492065},{"id":"https://openalex.org/keywords/symplectic-integrators","display_name":"symplectic integrators","score":0.796999990940094},{"id":"https://openalex.org/keywords/momentum-conservation","display_name":"momentum conservation","score":0.9750000238418579},{"id":"https://openalex.org/keywords/contact-problems","display_name":"contact problems","score":0.675000011920929},{"id":"https://openalex.org/keywords/multibody-dynamics","display_name":"multibody dynamics","score":0.824999988079071},{"id":"https://openalex.org/keywords/scaling-functions","display_name":"scaling functions","score":0.7799999713897705}],"concepts":[{"id":"https://openalex.org/C52154503","wikidata":"https://www.wikidata.org/wiki/Q7915797","display_name":"Variational integrator","level":4,"score":0.9357953071594238},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.8205347061157227},{"id":"https://openalex.org/C207646825","wikidata":"https://www.wikidata.org/wiki/Q7661847","display_name":"Symplectic integrator","level":4,"score":0.6492307782173157},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5033871531486511},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.4482470154762268},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4361977279186249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43172621726989746},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41885778307914734},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40795010328292847},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.272199809551239},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19007542729377747},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0870460569858551},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/zamm.200610286","doi":"https://doi.org/10.1002/zamm.200610286","is_oa":false,"landing_page_url":"https://doi.org/10.1002/zamm.200610286","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":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"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:lup.lub.lu.se:a7786cec-58f8-4849-a043-c08b80c3c132","doi":null,"is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/378569","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0044-2267","raw_type":"info:eu-repo/semantics/article"}],"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":14,"referenced_works":["https://openalex.org/W1524590822","https://openalex.org/W1530404001","https://openalex.org/W1592552732","https://openalex.org/W1985795374","https://openalex.org/W2032982686","https://openalex.org/W2035289135","https://openalex.org/W2054015037","https://openalex.org/W2097873820","https://openalex.org/W2108371414","https://openalex.org/W2124969394","https://openalex.org/W2126479355","https://openalex.org/W2157745179","https://openalex.org/W2170039048","https://openalex.org/W2947056241"],"related_works":["https://openalex.org/W1800624622","https://openalex.org/W2064582061","https://openalex.org/W3011672241","https://openalex.org/W2127938851","https://openalex.org/W2006096639","https://openalex.org/W1974002951","https://openalex.org/W1994054117","https://openalex.org/W2035154805","https://openalex.org/W70023880","https://openalex.org/W2105700337"],"abstract_inverted_index":{"Abstract":[0],"Variable":[1],"time\u2010step":[2],"methods,":[3],"with":[4],"general":[5],"step\u2010size":[6,73],"control":[7,74],"objectives,":[8],"are":[9,46,56],"developed":[10],"within":[11],"the":[12,34,38,54,72],"framework":[13],"of":[14,41],"variational":[15,42],"integrators.":[16],"This":[17],"is":[18,76],"accomplished":[19],"by":[20,63],"introducing":[21],"discrete":[22],"transformations":[23],"similar":[24],"to":[25],"Poincar\u00e9s":[26],"time":[27],"transformation.":[28],"While":[29],"gaining":[30],"from":[31],"adaptive":[32],"time\u2010steps,":[33],"resulting":[35],"integrators":[36],"preserve":[37],"structural":[39],"advantages":[40],"integrators,":[43],"i.e.":[44],"they":[45],"symplectic":[47],"and":[48],"momentum":[49],"preserving.":[50],"As":[51],"an":[52],"application,":[53],"methods":[55],"utilized":[57],"for":[58],"dynamic":[59],"multibody":[60],"systems":[61],"governed":[62],"contact":[64],"force":[65],"laws.":[66],"A":[67],"suitable":[68],"scaling":[69],"function":[70],"defining":[71],"objective":[75],"derived.":[77]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}