Differential-Algebraic Systems Group

Prof. Dr. Bernd Simeon


Felix Klein Zentrum für Mathematik, Paul-Ehrlich Straße
Gebäude 31 , Raum 353
67663 Kaiserslautern

Postfach 3049
67653 Kaiserslautern


Tel.: +49 631 205 5310
Fax: +49 631 205 5308
E-Mail: simeon@mathematik.uni-kl.de


Curriculum vitae



seit 2010:      Professor (W3), FB Mathematik, TU Kaiserslautern
2002 - 2010: Professor (C3), Zentrum Mathematik, TU München
2000 - 2002: Akademischer Rat, Fakultät für Mathematik, Universität Karlsruhe
1999 - 2000: Vertretungsprofessur, Fakultät für Mathematik, Universität Ulm
2000:            Habilitation in Mathematik, Universität Karlsruhe
1994:            Dr.rer.nat. in Mathematik, TU München


  • Angewandte und numerische Mathematik, insbesondere gekoppelte Systeme differential-algebraischer und partieller Differentialgleichungen
  • Computational mechanics, speziell Mehrkörperdynamik
  • Interdisziplinäre Kooperationen in Materialwissenschaften und Strömungsmechanik
  • Isogeometrische finite Elemente
  • Biomechanische Anwendungen (Hämodynamik, Skelettmuskulatur)


  • M. H. Gfrerer,  B. Simeon: Fiber-based modeling and simulation of skeletal muscles. To appear in Multibody Systems Dynamics
  • A. Shamanskiy, B. Simeon: Mesh moving techniques in fluid-structure interaction: robustness, accumulated distortion and computational efficiency. Computation Mechanics 67,583-600 (2021)
  • J. Jahnke S. Steidel, M. Burger, B. Simeon - IToMM World Congress on....,2019 - Springer "Efficient Particle Simulation Using a Two-Phase DEM-Lookup Approach"

  • A. Shamanskiy, M.H. Gfrerer, J. Hinz, B. Simeon (submitted): Isogeometric Parametrization Inspired by Large Elastic Deformation. Available as arXiv:1810.12425

  • Steffen Plunder, Bernd Simeon (submitted) Coupled Systems of Differential-Algebraic and Kinetic Equations with Application to the Mathematical Modelling of Muscle Tissue. submitted preprint avialable at http.//arxiv.org/abs/1911.05468  Progress in Differential Algebraic Equations II, 357-395 (2020)

  • B. Bauer, C. Arioli, B. Simeon (2019): Generating Star-Shaped Blocks for Scaled Boundary Multipatch IGA.
    To appear in Lecture Notes CSE - Isogeometric Analysis and Applications 2018, Springer

  • C. Arioli, A. Shamanskiy, S. Klinkel, B. Simeon (2019): Scaled boundary parametrizations in isogeometric analysis. Comput. Methods Appl. Mech. Engrg., 349:576-594

  • Jan Kleinert, Bernd Simeon (submitted). Differential-Algebraic Equations and Beyond:
    From Smooth to Nonsmooth Constrained Dynamical Systems.
    arXiv:181107658.07658, to appear 

  • Alexander Leichner, Heiko Andrä, Bernd Simeon (2019):
    A Contact Algorithm for Voxel-based Meshes using an Implicit Boundary Representation. Computer Methods in Applied Mechanics and Engineering 352,276-299 (2019)
  • Fabio Schneider, Michael Burger, Martin Arnold, Bernd Simeon (to appear).
    A new approach for force-displacement co-simulation using kinematic coupling constraints.

  • Mané Harutyunyan and Bernd Simeon (2018).
    On a saddle point problem arising from magneto-elastic coupling.
    Applied Mathematics Letters. 83, 156-163.

  • Anmol Goyal, Bernd Simeon (2017).
    On Penalty-free Formulations for Multipatch Isogeometric Kirchhoff-Love Shells.
    Mathematics and Computers in Simulation. Volume 136, 78–103.

  • Bernd Simeon (2017).
    On the History of Differential-Algebraic Equations. A Retrospective with Personal Sidetrips.
    Surveys in Differential-Algebraic Equations IV. A. Ilchmann, T. Reis (eds.) pp. 1-39.

  • Jan Kleinert, Bernd Simeon and Klaus Dreßler (2016).
    Nonsmooth Contact Dynamics for the Large--Scale Simulation of Granular Material.
    Computational and Applied Mathematics.

  • Lin Chen, Bernd Simeon, Sven Klinkel (2016).
    A NURBS based Galerkin approach for the analysis of solids in boundary representation.
    Computer Methods in Applied Mechanics and Engineering. 305, 777-80.

  • Carlotta Giannelli, Bert Jüttler, Stefan K Kleiss, Angelos Mantzaflaris, Bernd Simeon, Jaka Špeh (2016).
    THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis..
    Computer Methods in Applied Mechanics and Engineering. 299, 337-365.

  • Oliver Weeger, Utz Wever and Bernd Simeon (2016).
    On the use of modal derivatives for nonlinear model order reduction.
    International Journal for Numerical Methods in Engineering.

  • (2015).
    Isogeometric Analysis and Applications 2014.
    Springer Lecture Notes Computational Science and Engineering. Jüttler, B., Simeon, B. (eds.)

  • Bernd Simeon (2015). Mechanical Systems.
    Encyclopedia of Applied and Computational Mathematics. pp. 865-874.

  • Daniela Fußeder and Bernd Simeon (2015). Algorithmic Aspects of Isogeometric Shape Optimization. Isogeometric Analysis and Applications 2014. Algorithmic Aspects of Isogeometric Shape Optimization Jüttler, Bert and Simeon, Bernd (eds.) Lecture Notes in Computational Science and Engineering 107, 183-207.

  • Daniela Fußeder, Bernd Simeon, Anh-Vu Vuong (2015). Fundamental Aspects of Shape Optimization in the Context of Isogeometric Analysis. Computer Methods in Applied Mechanics and Engineering. 286, 313-331.

  • Dennis Merkert, Heiko Andrä, Matthias Kabel, Matti Schneider, Bernd Simeon (2015).
    An Efficient Algorithm to Include Sub-Voxel Data in FFT-Based Homogenization for Heat Conductivity. Recent Trends in Computational Engineering-CE2014. 267-279.

  • Andreas Roth, Axel Klar, Bernd Simeon, Evgeniy Zharovsky (2014).
    A Semi-Lagrangian Method for 3-D Fokker Planck Equations for Stochastic Dynamical Systems on the Sphere. Journal of Scientific Computing. 61, 513-532.

  • Dennis Merkert, Heiko Andrä, Matthias Kabel, Matti Schneider, Bernd Simeon (2014).
    Voxel-based fast solution of the Lippmann-Schwinger equation with smooth material interfaces.
    Proceedings in Applied Mathematics and Mechanics. 14, (1), 579-580.

  • Jan Kleinert, Bernd Simeon, M. Obermayr (2014).
    An Inexact Interior Point Method for the Large-Scale Simulation of Granular Material.
    Computer Methods in Applied Mechanics and Engineering. 278, 567-598.

  • Julia Vuong, Bernd Simeon (2014).
    On Finite Element Method-Flux Corrected Transport Stabilization for Advection-Diffusion Problems in a Partial Differential-Algebraic Framework.
    Journal of Computation and Applied Mathematics. 262, 115-126.

  • Luis Blanchard, Regis Duvigneau, Anh-Vu Vuong, Bernd Simeon (2014).
    Shape Gradient for Isogeometric Structural Design.
    Journal of Optimization Theory and Applications. 161, (2), 361-367.

  • Mané Harutyunyan, Bernd Simeon (2014).
    Mathematical Modeling and Numerical Simulation of a Magnetostrictive Euler-Bernoulli Beam.
    Proceedings in Applied Mathematics and Mechanics. 14, (1), 517-518.

  • Oliver Weeger, Utz Wever, Bernd Simeon (2014).
    Nonlinear frequency response analysis of structural vibrations.
    Computational Mechanics. 54, (6), 1477-1495.

  • S. Gonzalez-Pinto, Domingo Hernandez-Abreu, Bernd Simeon (2014).
    Strongly A-Stable First Stage Explicit Collocation Methods with Stepsize Control for Stiff and Differential-Algebraic Systems.
    Journal of Computational and Applied Mathematics. 259, 138-152.

  • Urs Becker, Bernd Simeon, Martin Burger (2014).
    On Rosenbrock methods for the time integration of nearly incompressible materials and their usage for nonlinear model reduction.
    Journal of Computational and Applied Mathematics. 262, 333-345.

  • Anmol Goyal, Michael Dörfel, Bernd Simeon, Anh-Vu Vuong (2013).
    Isogeometric shell discretizations for flexible multibody dynamics.
    Multibody System Dynamics. 30, 139-151.

  • Bernd Simeon (2013).
    Computational Flexible Multibody Dynamics: A Differential-Algebraic Approach.
    Springer: Berlin Heidelberg
    978-3-642-35157-0  [doi][BibTex]

  • Wolfgang Dornisch, Sven Klinkel, Bernd Simeon (2013).
    Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors.
    Computer Methods in Applied Mechanics and Engineering. 253, 491-504.

  • Anh-Vu Vuong, Bernd Simeon (2012).
    On Isogeometric Analysis and Its Usage for Stress Calculation.
    H.G. Bock, X. P. Hoang, R. Rannacher and J. P. Schlöder (eds.) Modeling, Simulation and Optimization of Complex Processes, Proceedings of the Fourth International Conference on High Performance Scientific Computing, March 2-6, 2009, Hanoi, Vietnam. Springer: 305-314.

  • Christoph Heinrich, Bernd Simeon, Stefan Boschert (2012).
    A Finite Volume Method on NURBS Geometries and its Application in Isogeometric Fluid-Structure Interaction.
    Mathematics and Computers in Simulation. 82, (9), 1645-1666.

  • Evgeniy Zharovsky, A. Moosaie, A. Le Duc, M. Manhart, Bernd Simeon (2012).
    On the numerical solution of a convection-diffusion equation for particle orientation dynamics on geodesic grids.
    Applied Numerical Mathematics. 62, 1554-1566.

  • Anh-Vu Vuong, Carlotta Giannelli, Bert Jüttler, Bernd Simeon (2011).
    A Hierarchical Approach to Local Refinement in Isogeometric Analysis.
    Computer Methods in Applied Mechanics and Engineering. 200, 3554-3567.

  • Michael R. Dörfel, Bernd Simeon (2011).
    Fluid-Structure Interaction: Acceleration of Strong Coupling by Preconditioning of the Fixed-Point Iteration.
    Numerical Mathematics and Advanced Applications. Springer: 741-749.

  • Ahn-Vu Vuong, Christoph Heinrich, Bernd Simeon (2010).
    ISOGAT: A 2D Tutorial Matlab Code for Isogeometric Analysis.
    Computer Aided Geometric Design. 27, 644-655. (Link to corresponding software see [pdf])
  • Alexander Shamanskiy, Bernd Simeon (2018).
    Isogeometric Simulation of Thermal Expansion for Twin Screw Compressors.
    submitted. (arXiv Preprint #1805.08848).
    [www]  [BibTex]
  • Clarissa Arioli, Alexander Shamanskiy, Sven Klinkel, Bernd Simeon (2017).
    Scaled Boundary Parametrizations in Isogeometric Analysis.
    submitted. (arXiv Preprint #1711.05760).
Zum Seitenanfang