AG Differential-Algebraische Systeme

Prof. Dr. Bernd Simeon


Felix Klein Zentrum für Mathematik, Paul-Ehrlich Straße
Gebäude 31 , Raum 353 , 3
67663 Kaiserslautern

Postfach 3049
67653 Kaiserslautern


Tel.: +49 631 205 5310
Fax: +49 631 205 5308
E-Mail: simeon[at]


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
  • 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)


  • S. Plunder, B. Simeon:
    The mean-field limit for particle systems with uniform full-rank constraints.
    To appear in Kinet. Relat. Models.
  • B. Bauer, M. Roller, J. Linn, B. Simeon:
    An Isogeometric One-Dimensional Kirchhoff-Love Type Model for Developable Elastic Ribbons
    To appear in J. Comp. Appl. Math.
  • B. Simeon:
    Die Macht der Computermodelle. Quellen der Erkenntnis oder digitale Orakel?
    To appear in Springer-Verlag.
  • J. Kleinert, B. Simeon:
    Differential-algebraic equations and beyond: from smooth to nonsmooth constrained dynamical systems.
    In Novel Mathematics Inspired by Industrial Challenges, M. Günther, W. Schilders, Eds., Springer, pp. 73–132, 2022.
    [doi]  [www]
  • D. Manvelyan, B. Simeon, U. Wever:
    A physics-based model reduction approach for node-to-segment contact problems in linear elasticity.
    Int. J. Numer. Methods Eng. (Early View), pp. 1–27, 2022.
    [doi]  [www]
  • M. Chasapi, L. Mester, B. Simeon, S. Klinkel:
    Isogeometric analysis of 3D solids in boundary representation for problems in nonlinear solid mechanics and structural dynamics.
    Int. J. Numer. Methods Eng., vol.123, pp. 1228–1252, 2022.
    [doi]  [www]
  • J. Arf, B. Simeon:
    A space-time isogeometric method for the partial differential-algebraic system of Biot's poroelasticity model.
    Electron. Trans. Numer. Anal., vol. 55, pp. 310–340, 2022.
    [doi]  [www]
  • H. van Brummelen, C. Vuik, M. Möller, C. Verhoosel, B. Simeon, B. Jüttler, B. (Eds.):
    Isogeometric Analysis and Applications 2018.
    Springer Lecture Notes Computational Science and Engineering, 2021.
    [doi]  [www]
  • D. Manvelyan, B. Simeon, U. Wever:
    An effcient model order reduction scheme for dynamic contact in linear elasticity.
    Comput. Mech., vol 68, pp. 1283–1295, 2021.
    [doi]  [www]
  • M. H. Gfrerer, B. Simeon:
    Fiber-based modeling and simulation of skeletal muscles.
    Multibody Syst. Dyn., vol. 52, pp. 1–30, 2021.
    [doi]  [www]
  • A. Shamanskiy, B. Simeon:
    Mesh moving techniques in fluid-structure interaction: robustness, accumulated distortion and computational efficiency.
    Comput. Mech., vol 67, pp. 583–600, 2021.
    [doi]  [www]
  • B. Bauer, M. Roller, J. Linn, B. Simeon:
    One-Dimensional Modelling of Developable Elastic Strips by Geometric Constraints and their Link to Surface Isometry.
    In ECCOMAS Thematic Conference on Multibody Dynamics (pp. 359–368). Budapest University of Technology and Economics, 2021.
    [doi]  [www]
  • B. Bauer, C, Arioli, B. Simeon:
    Generating star-shaped blocks for scaled boundary multipatch IGA.
    Springer Lecture Notes: Conference on Isogeometric Analysis and Applications 2018, pp. 1–25, 2021.
    [doi]  [www]
  • S. Plunder, B. Simeon:
    Coupled systems of linear differential-algebraic and kinetic equations with application to the mathematical modelling of muscle tissue.
    In Progress in Differential-Algebraic Equations II, Reis, T., Grundel, S., Schöps, S. (eds), pp. 357–395, 2020.
    [doi]  [www]
  • A. Shamanskiy, M. H. Gfrerer, J. Hinz, B. Simeon:
    Isogeometric parametrization inspired by large elastic deformation.
    Comput Methods Appl. Mech. Eng., vol. 363, p. 112920, 2020.
    [doi]  [www]
  • A. Leichner, H. Andrä, B. Simeon:
    A contact algorithm for voxel-based meshes using an implicit boundary representation.
    Comput. Methods Appl. Mech. Eng., vol. 352, pp. 276–299, 2019.
    [doi]  [www]
  • C. Arioli, A. Shamanskiy, S. Klinkel, B. Simeon:
    Scaled Boundary Parametrizations in Isogeometric Analysis.
    Comput. Methods Appl. Mech. Eng., vol. 349, pp. 576–594, 2019.
    [doi]  [www]
  • J. Jahnke, S. Steidel, M. Burger, B. Simeon:
    Efficient Particle Simulation Using a Two-Phase DEM-Lookup Approach.
    In European Congress on Computational Methods in Applied Sciences and Engineering, pp. 425–432, Springer, 2019.
    [doi]  [www]
  • M. H. Gfrerer, B. Simeon:
    Fiber-Based Modeling of Muscles in the Musculoskeletal System.
    In Progress in Industrial Mathematics at ECMI 2018, pp. 189–197, Springer, Cham 2019.
    [doi]  [www]
  • A. Shamanskiy, B. Simeon:
    Isogeometric simulation of thermal expansion for twin screw compressors.
    IOP Conf. Ser.: Mater. Sci. Eng., vol. 425, p. 012031, 2018.
    [doi]  [www]
  • M. Harutyunyan, B Simeon:
    On a saddle point problem arising from magneto-elastic coupling.
    Appl. Math. Lett., vol. 83, pp. 156–163, 2018.
    [doi]  [www] 
  • M. H. Gfrerer, B. Simeon:
    Fiber-based modeling of muscles in the musculoskeletal system.
    PAMM, vol. 18, p. e201800016, 2018.
    [doi]  [www]
  • F. Schneider, M. Burger, M. Arnold, B. Simeon:
    A new approach for force-displacement co-simulation using kinematic coupling constraints.
    ZAMM, vol. 97, pp. 1147–1166, 2017.
    [doi]  [www] 
  • A. Goyal, B. Simeon:
    On Penalty-free Formulations for Multipatch Isogeometric Kirchhoff-Love Shells.
    Math. Comput. Simul., vol. 136, pp. 78–103, 2017.
    [doi]  [www] 
  • B. Simeon:
    On the History of Differential-Algebraic Equations. A Retrospective with Personal Sidetrips.
    In Surveys in Differential-Algebraic Equations IV. A. Ilchmann, T. Reis (eds.) pp. 1–39, 2017.
    [doi]  [www]
  • F. Dietrich, D. Merkert, B. Simeon:
    Derivation of higher-order terms in FFT-based numerical homogenization.
    In European Conference on Numerical Mathematics and Advanced Applications, pp. 289–297, 2017.
    [doi]  [www]
  • C. Giannelli, B. Jüttler, S. K. Kleiss, A. Mantzaflaris, B. Simeon, J. Špeh:
    THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis.
    Comput. Methods Appl. Mech. Eng., vol. 299, pp. 337–365, 2016.
    [doi]  [www] 
  • O. Weeger, U. Wever, B. Simeon:
    On the use of modal derivatives for nonlinear model order reduction.
    Comput. Methods Appl. Mech. Eng., vol. 108, pp. 1579–1602, 2016.
    [doi]  [www] 
  • Kleinert, J., Simeon, B., Dressler, K.:
    Nonsmooth Contact Dynamics for the Large-Scale Simulation of Granular Material.
    J. Comput. Appl. Math., vol. 316, pp. 345–357, 2016.
    [doi]  [www] 
  • Chen, L., Simeon, B., Klinkel, S.:
    A NURBS based Galerkin approach for the analysis of solids in boundary representation.
    Comput. Methods Appl. Mech. Eng., vol. 305, pp. 777–805, 2016.
    [doi]  [www] 
  • Jüttler, B., Simeon, B. (Eds.):
    Isogeometric Analysis and Applications 2014.
    Springer Lecture Notes Computational Science and Engineering, 2015.
    [doi]  [www] 
  • B. Simeon:
    Mechanical Systems.
    Encyclopedia of Applied and Computational Mathematics, pp. 865–874, 2016.
    [doi]  [www] 
  • D. Fußeder, B. Simeon:
    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, vol. 107, pp. 183–207, 2015.
    [doi]  [www] 
  • D. Fußeder, B. Simeon, A. Vuong:
    Fundamental Aspects of Shape Optimization in the Context of Isogeometric Analysis.
    Comput. Methods Appl. Mech. Eng., vol. 286, pp. 313–331, 2015.
    [doi]  [www] 
  • D. Merkert, H, Andrä, M, Kabel, M, Schneider, B, Simeon:
    An Efficient Algorithm to Include Sub-Voxel Data in FFT-Based Homogenization for Heat Conductivity.
    Recent Trends in Computational Engineering-CE2014. pp. 267–279, 2015.
    [doi]  [www] 
  • A. Roth, A. Klar, B. Simeon, E. Zharovsky:
    A Semi-Lagrangian Method for 3-D Fokker Planck Equations for Stochastic Dynamical Systems on the Sphere.
    J. Sci. Comput., vol. 61, pp. 513–532, 2014.
    [doi]  [www]
  • D. Merkert, H. Andrä, M. Kabel, M. Schneider, B. Simeon:
    Voxel-based fast solution of the Lippmann-Schwinger equation with smooth material interfaces.
    Proc. Appl. Math. Mech., vol. 14, pp. 579–580, 2014.
    [doi] [www] 
  • J. Kleinert, B. Simeon, M. Obermayr:
    An Inexact Interior Point Method for the Large-Scale Simulation of Granular Material.
    Comput. Methods Appl. Mech. Eng., vol. 278, pp. 567–598, 2014.
    [doi]  [www]
  • J. Vuong, B. Simeon:
    On Finite Element Method-Flux Corrected Transport Stabilization for Advection-Diffusion Problems in a Partial Differential-Algebraic Framework.
    Comput. Methods Appl. Mech. Eng., vol. 262, pp. 115–126, 2014.
    [doi]  [www]
  • L. Blanchard, R. Duvigneau, A. Vuong, B. Simeon:
    Shape Gradient for Isogeometric Structural Design.
    J. Optim. Theory Appl., vol. 161, pp. 361–367, 2014.
    [doi]  [www] 
  • M. Harutyunyan, B. Simeon:
    Mathematical Modeling and Numerical Simulation of a Magnetostrictive Euler-Bernoulli Beam.
    Proc. Appl. Math. Mech., vol. 14, pp. 517–518, 2014.
    [doi]  [www] 
  • O. Weeger, U. Wever, B. Simeon:
    Nonlinear frequency response analysis of structural vibrations.
    Comput. Mech., vol. 54, pp.1477–1495, 2014.
    [doi]  [www] 
  • U. Becker, B. Simeon, M. Burger:
    On Rosenbrock methods for the time integration of nearly incompressible materials and their usage for nonlinear model reduction.
    J. Comput. Appl. Math., vol. 262, pp. 333–345, 2014.
    [doi]  [www]
  • S. Gonzalez-Pinto, D. Hernandez-Abreu, B. Simeon:
    Strongly A-Stable First Stage Explicit Collocation Methods with Stepsize Control for Stiff and Differential-Algebraic Systems.
    J. Comput. Appl. Math., vol. 259, pp. 138–152, 2014.
  • A. Goyal, M. Dörfel, B. Simeon, A. Vuong:
    Isogeometric shell discretizations for flexible multibody dynamics.
    Multibody Syst. Dyn., vol. 30, pp. 139–151, 2013.
    [doi]  [www]
  • B. Simeon:
    Computational Flexible Multibody Dynamics: A Differential-Algebraic Approach.
    Springer: Berlin Heidelberg, 2013.
    [doi]  [www]
  • W. Dornisch, S. Klinkel, B. Simeon:
    Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors.
    Comput. Methods Appl. Mech. Eng., vol. 253, pp. 491–504, 2013.
    [doi]  [www]
  • A. Vuong, B. Simeon:
    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, 2012.
    [doi]  [www]
  • Ch. Heinrich, B. Simeon, St. Boschert:
    A Finite Volume Method on NURBS Geometries and its Application in Isogeometric Fluid-Structure Interaction.
    Math. Comput. Simul., vol. 82, pp. 1645–1666, 2012.
    [doi]  [www]
  • E. Zharovsky, A. Moosaie, A. Le Duc, M. Manhart, B. Simeon:
    On the numerical solution of a convection-diffusion equation for particle orientation dynamics on geodesic grids.
    Appl. Numer. Math., vol. 62, pp. 1554–1566, 2012.
    [doi]  [www]
  • A. Vuong, C. Giannelli, B. Jüttler, B. Simeon:
    A Hierarchical Approach to Local Refinement in Isogeometric Analysis.
    Comput. Methods Appl. Mech. Eng., vol. 200, pp. 3554–3567, 2011.
    [doi]  [www]
  • M. R. Dörfel, B. Simeon:
    Fluid-Structure Interaction: Acceleration of Strong Coupling by Preconditioning of the Fixed-Point Iteration.
    Numerical Mathematics and Advanced Applications. Springer: 741–749, 2011.
    [doi]  [www]
  • A. Vuong, Ch. Heinrich, B. Simeon:
    ISOGAT: A 2D Tutorial Matlab Code for Isogeometric Analysis.
    Comput. Aided Geom. Des., vol. 27, pp. 644–655, 2010.
    Link to corresponding software see:  [pdf]
    [doi]  [www]
  • Steffen Plunder, Bernd Simeon (2022).
    The mean-field limit for particle systems with uniform full-rank constraints.
    submitted. (arXiv Preprint # 2203.07249).
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