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  <doc>
    <id>10286</id>
    <completedYear/>
    <publishedYear>2026</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>173</volume>
    <type>incollection</type>
    <publisherName>Springer Nature</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Identification of Stress in Heterogeneous Contact Models</title>
    <abstract language="eng">We develop a heterogeneous model of the lower limb system to simulate muscle forces and stresses acting on the knee joint. The modelling of the bone dynamics leads to an index-3 DAE, which we discretize by higher order collocation methods. Furthermore, we present an elastomechanical contact knee joint model of the articular cartilage. For the solution of the contact problem we develop an efficient multigrid solver, based on an Augmented-Lagrangian relaxation of the contact constraints. We formulate the identification of joint forces and resulting stresses with respect to different knee joint models as an inverse problem based on&#13;
medical gait data.</abstract>
    <parentTitle language="eng">Non-Smooth and Complementarity-Based Distributed Parameter Systems</parentTitle>
    <subTitle language="deu">Simulation and Hierarchical Optimization, Part II</subTitle>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="AcceptedDate">2024-03-07</enrichment>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="Series">International Series of Numerical Mathematics</enrichment>
    <author>Felix Baumann</author>
    <submitter>Martin Weiser</submitter>
    <editor>Michael Hintermüller</editor>
    <author>Georg Duda</author>
    <editor>Roland Herzog</editor>
    <author>Anton Schiela</author>
    <editor>Christian Kanzow</editor>
    <author>Martin Weiser</author>
    <editor>Michael Ulbrich</editor>
    <editor>Stefan Ulbrich</editor>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="weiser">Weiser, Martin</collection>
    <collection role="persons" number="felix.baumann">Baumann, Felix</collection>
    <collection role="projects" number="2020-SPP1962">2020-SPP1962</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
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