Numerische Methoden für Fluid-Struktur-Interaktion

Spezialvorlesung Numerische Mathematik [201NUMASP2V12] (in English)

Wintersemester 2015 / 16 an der JKU Linz

♦Time and place:

  • Time (lecture): Monday, 13:45 - 15:15
  • Time (exercise): Monday, 15:30 - 16:15
  • Place: S2 044
  • Further information in KUSSS

♦Lecture notes:




  • Basic concepts in continuum mechanics
  • Modeling of fluid flows and solid mechanics
  • FSI-modeling: coupling techniques of fluids and solids, transformations between Eulerian and Lagrangian coordinate systems
  • Discretization: Time, space (FEM), nonlinear and linear solvers
  • Sensitivity analysis for FSI: a posteriori error estimation, gradient-based optimization (if time permits)


  • Basic Lectures on Analysis and Linear Algebra (required)
  • Introduction to Numerical Mathematics (required)
  • Numerical methods for ordinary differential (ODE) equations (would be best)
  • Numerical methods for partial differential (PDE) equations (would be best)
  • Functional analysis (would be helpful; but not mandatory)
  • Concepts of continuum mechanics (if possible)


  • Continuum mechanics: G.A. Holzapfel, Nonlinear solid mechanics; Wiley 2000
  • Numerical methods for differential equations: Numerical treatment of partial differential equations by Ch. Grossmann, H.-G. Roos, M. Stynes
  • Numerical methods for fluid and solid mechanics: Numerische Mathematik 3 Numerische Methoden für Probleme der Kontinuumsmechanik by R. Rannacher (in german)
  • Numerische Methoden in der Stroemungsmechanik, Universität Heidelberg, 2014 by T. Richter (in german)
  • Lecture notes to this class from myself, T. Wick


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