{"id":"https://openalex.org/W4414715972","doi":"https://doi.org/10.1016/j.cma.2026.118790","title":"Port-Hamiltonian formulation and structure-preserving discretization of finite elasticity based on a mixed Hu-Washizu-type formulation","display_name":"Port-Hamiltonian formulation and structure-preserving discretization of finite elasticity based on a mixed Hu-Washizu-type formulation","publication_year":2026,"publication_date":"2026-04-29","ids":{"openalex":"https://openalex.org/W4414715972","doi":"https://doi.org/10.1016/j.cma.2026.118790"},"language":"en","primary_location":{"id":"doi:10.1016/j.cma.2026.118790","doi":"https://doi.org/10.1016/j.cma.2026.118790","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cma.2026.118790","pdf_url":null,"source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cma.2026.118790","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080245696","display_name":"Moritz Hille","orcid":"https://orcid.org/0009-0003-5720-0839","observed_orcids":["https://orcid.org/0009-0003-5720-0839"]},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Moritz Hille","raw_affiliation_strings":["Institute of Mechanics, Karlsruhe Institute of Technology (KIT), Germany"],"raw_orcid":"https://orcid.org/0009-0003-5720-0839","affiliations":[{"raw_affiliation_string":"Institute of Mechanics, Karlsruhe Institute of Technology (KIT), Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065225155","display_name":"Peter Betsch","orcid":"https://orcid.org/0000-0002-0596-2503","observed_orcids":["https://orcid.org/0000-0002-0596-2503"]},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Betsch","raw_affiliation_strings":["Institute of Mechanics, Karlsruhe Institute of Technology (KIT), Germany"],"raw_orcid":"https://orcid.org/0000-0002-0596-2503","affiliations":[{"raw_affiliation_string":"Institute of Mechanics, Karlsruhe Institute of Technology (KIT), Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005211017","display_name":"Marlon Franke","orcid":"https://orcid.org/0000-0002-6695-6289","observed_orcids":["https://orcid.org/0000-0002-6695-6289"]},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marlon Franke","raw_affiliation_strings":["Institute of Mechanics, Karlsruhe Institute of Technology (KIT), Germany"],"raw_orcid":"https://orcid.org/0000-0002-6695-6289","affiliations":[{"raw_affiliation_string":"Institute of Mechanics, Karlsruhe Institute of Technology (KIT), Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080245696"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":{"value":4830,"currency":"USD","value_usd":4830},"apc_paid":{"value":4830,"currency":"USD","value_usd":4830},"fwci":4.0309,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.89692386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"458","issue":null,"first_page":"118790","last_page":"118790"},"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":0.9477999806404114,"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":0.9477999806404114,"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.01759999990463257,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.008999999612569809,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-elasticity","display_name":"finite elasticity","score":0.8949999809265137},{"id":"https://openalex.org/keywords/structure-preserving-discretization","display_name":"structure-preserving discretization","score":0.8370000123977661},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"mixed finite element method","score":0.7829999923706055}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.907800018787384},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7552000284194946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.682200014591217},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6194000244140625},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5238000154495239},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49480000138282776},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.46630001068115234},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45879998803138733},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.4456999897956848},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4018000066280365},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.36149999499320984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34459999203681946},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3391999900341034},{"id":"https://openalex.org/C2778327290","wikidata":"https://www.wikidata.org/wiki/Q17146496","display_name":"Temporal discretization","level":3,"score":0.32589998841285706},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.3174000084400177},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.30239999294281006},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.2937000095844269},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.289000004529953},{"id":"https://openalex.org/C97985569","wikidata":"https://www.wikidata.org/wiki/Q216861","display_name":"Calculus of variations","level":2,"score":0.2581999897956848}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.cma.2026.118790","doi":"https://doi.org/10.1016/j.cma.2026.118790","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cma.2026.118790","pdf_url":null,"source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"},{"id":"doi:10.2139/ssrn.5551747","doi":"https://doi.org/10.2139/ssrn.5551747","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5551747","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"pmh:oai:EVASTAR-Karlsruhe.de:1000193473","doi":null,"is_oa":true,"landing_page_url":"https://publikationen.bibliothek.kit.edu/1000193473","pdf_url":"https://publikationen.bibliothek.kit.edu/1000193473/181651228","source":{"id":"https://openalex.org/S4306401992","display_name":"Repository KITopen (Karlsruhe Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0045-7825, 1879-2138","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.5445/ir/1000193473","doi":"https://doi.org/10.5445/ir/1000193473","is_oa":true,"landing_page_url":"https://doi.org/10.5445/ir/1000193473","pdf_url":null,"source":{"id":"https://openalex.org/S7407052948","display_name":"KITopen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1016/j.cma.2026.118790","doi":"https://doi.org/10.1016/j.cma.2026.118790","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cma.2026.118790","pdf_url":null,"source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G8047568357","display_name":"Thermodynamisch konsistente Diskretisierungsverfahren f\u00fcr thermomechanisch gekoppelte Probleme","funder_award_id":"388118188","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8594361751","display_name":"Entwicklung konsistenter Simulationsmethoden f\u00fcr elektrothermomechanisch gekoppelte Systeme","funder_award_id":"443238377","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414715972.pdf","grobid_xml":"https://content.openalex.org/works/W4414715972.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W185525249","https://openalex.org/W601713258","https://openalex.org/W1526120274","https://openalex.org/W1553823556","https://openalex.org/W1969824994","https://openalex.org/W1978620595","https://openalex.org/W1991725548","https://openalex.org/W1994671486","https://openalex.org/W2028736583","https://openalex.org/W2042231015","https://openalex.org/W2082826586","https://openalex.org/W2096484999","https://openalex.org/W2096876511","https://openalex.org/W2097555970","https://openalex.org/W2099035251","https://openalex.org/W2129261139","https://openalex.org/W2145781189","https://openalex.org/W2170448165","https://openalex.org/W2265706702","https://openalex.org/W2525143456","https://openalex.org/W2723364022","https://openalex.org/W2789334220","https://openalex.org/W2801613888","https://openalex.org/W2808720937","https://openalex.org/W2922851205","https://openalex.org/W2962118672","https://openalex.org/W3014592032","https://openalex.org/W3033236687","https://openalex.org/W3106604095","https://openalex.org/W3157853434","https://openalex.org/W3204618156","https://openalex.org/W4376137587","https://openalex.org/W4380682725","https://openalex.org/W4386490566","https://openalex.org/W4402836749","https://openalex.org/W4404144340","https://openalex.org/W4411347874","https://openalex.org/W4412469369","https://openalex.org/W4413815680","https://openalex.org/W4413944892","https://openalex.org/W6968898211"],"related_works":["https://openalex.org/W7077149182","https://openalex.org/W3033236687","https://openalex.org/W4312313558","https://openalex.org/W3204618156","https://openalex.org/W4386773992","https://openalex.org/W4416063090","https://openalex.org/W4413944892","https://openalex.org/W4407952037","https://openalex.org/W7160391637","https://openalex.org/W2114585419"],"abstract_inverted_index":{"We":[0,44],"propose":[1],"a":[2,19,47,70,90,104],"port-Hamiltonian":[3,42,64,92],"formulation":[4,65,88,102],"and":[5,26,66,146],"structure-preserving":[6,71],"discretization":[7,83,97],"of":[8,22,37,50,54,84,98,148],"finite":[9,81,112,122],"elasticity.":[10],"The":[11,115],"energy":[12,25,38],"functional":[13],"(or":[14],"Hamiltonian)":[15],"is":[16],"based":[17],"on":[18],"polyconvex":[20],"representation":[21],"the":[23,35,41,51,62,79,85,95,99,143,149],"stored":[24],"gives":[27],"rise":[28],"to":[29,60,68,128,141],"three":[30],"strain-type":[31],"fields,":[32],"which":[33,109],"play":[34],"role":[36],"variables":[39],"in":[40,118],"formulation.":[43],"show":[45,77],"that":[46,78,124],"Hu-Washizu-type":[48],"extension":[49],"variational":[52],"principle":[53],"Livens":[55],"can":[56],"be":[57,129],"used":[58],"(i)":[59],"derive":[61],"continuous":[63,101],"(ii)":[67],"perform":[69],"spatial":[72,80],"discretization.":[73],"In":[74],"particular,":[75,119],"we":[76],"element":[82,113],"underlying":[86,100],"mixed":[87,121],"yields":[89,103],"discrete":[91],"system.":[93],"Moreover,":[94],"temporal":[96],"new":[105,116],"energy-momentum":[106,152],"consistent":[107],"framework,":[108,117],"accommodates":[110],"alternative":[111],"formulations.":[114],"covers":[120],"elements":[123],"have":[125],"been":[126],"shown":[127],"well":[130],"suited":[131],"for":[132],"handling":[133],"quasi-incompressible":[134],"material":[135],"behavior.":[136],"Numerical":[137],"examples":[138],"are":[139],"provided":[140],"evaluate":[142],"numerical":[144],"performance":[145],"stability":[147],"newly":[150],"devised":[151],"schemes.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2025-10-10T00:00:00"}