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  1. No Access

    Article

    A Numerical Investigation of High-Order Finite Elements for Problems of Elastoplasticity

    A high order finite element approach is applied to elastoplastic problems in two as well as in three dimensions. The element formulations are based on quadrilaterals and hexahedrals, taking advantage of the bl...

    A. Düster, A. Niggl, V. Nübel, E. Rank in Journal of Scientific Computing (2002)

  2. Article

    Open Access

    Numerical investigations of foam-like materials by nested high-order finite element methods

    In this paper we present a multiscale framework suited for geometrically nonlinear computations of foam-like materials applying high-order finite elements (p-FEM). This framework is based on a nested finite eleme...

    H. -G. Sehlhorst, R. Jänicke, A. Düster, E. Rank, H. Steeb… in Computational Mechanics (2009)

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  3. No Access

    Chapter and Conference Paper

    An Explicit Model for Three-Dimensional Fluid-Structure Interaction using LBM and p-FEM

    An explicit coupling model for the simulation of surface coupled fluid-structure interactions with large structural deflections is introduced. Specifically, the fluid modeled via the Lattice Boltzmann Method (...

    S. Geller, S. Kollmannsberger, M. El Bettah, M. Krafczyk… in Fluid Structure Interaction II (2010)

  4. No Access

    Article

    A comparison of the h-, p-, hp-, and rp-version of the FEM for the solution of the 2D Hertzian contact problem

    Even after more than three decades of intensive research in the field of contact mechanics, there is still a great need for improving the numerical methods. Recent investigations on the 2D Hertzian contact pro...

    David Franke, A. Düster, V. Nübel, E. Rank in Computational Mechanics (2010)

  5. Article

    Erratum to: A comparison of the h-, p-, hp-, and rp-version of the FEM for the solution of the 2D Hertzian contact problem

    David Franke, A. Düster, V. Nübel, E. Rank in Computational Mechanics (2010)

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  6. No Access

    Article

    Topology optimization using the finite cell method

    Huge effort has been spent over the past decades to develop efficient numerical methods for topology optimization of mechanical structures. Most recent investigations have focused on increasing the efficiency ...

    J. Parvizian, A. Düster, E. Rank in Optimization and Engineering (2012)

  7. No Access

    Article

    Finite cell method compared to h-version finite element method for elasto-plastic problems

    The finite cell method (FCM) combines the high-order finite element method (FEM) with the fictitious domain approach for the purpose of simple meshing. In the present study, the FCM is used to the Prandtl-Reus...

    A. Abedian, J. Parvizian, A. Düster, E. Rank in Applied Mathematics and Mechanics (2014)

  8. No Access

    Article

    Simulation der Fluid-Struktur-Interaktion in arteriellen Bypässen

    Partitionierte Lösungsansätze für Probleme der Fluid-Struktur-Interaktion (FSI) stellen eine flexible Alternative zu monolithischen Ansätzen dar. Die Möglichkeit einer Kombination des klassischen dreidimension...

    L. Radtke, A. Larena-Avellaneda, E. S. Debus, A. Düster in Gefässchirurgie (2017)

  9. No Access

    Article

    Adjoint shape optimization for fluid–structure interaction of ducted flows

    Based on the coupled problem of time-dependent fluid–structure interaction, equations for an appropriate adjoint problem are derived by the consequent use of the formal Lagrange calculus. Solutions of both pri...

    J. P. Heners, L. Radtke, M. Hinze, A. Düster in Computational Mechanics (2018)