♦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:

• Version 1 (Sep 29, 2015)

♦Exercises:

• Exercise 9 (Jan 08, 2016)
• Exercise 8 (Dec 20, 2015)
• Exercise 7 (Dec 07, 2015)
• Exercise 6 (Nov 29, 2015)
• Exercise 5 (Nov 16, 2015)
• Exercise 4 (Nov 16, 2015)
• Exercise 3 (Nov 02, 2015)
• Exercise 2 (Oct 12, 2015)
• Exercise 1 (Oct 05, 2015)

♦Overview:

• Overview (Oct 5, 2015)

♦Contents:

• 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)

♦Prerequisites:

• 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)

♦Literature:

• 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

♦Contact:

• Please make appointments via email: thomas.wick@ricam.oeaw.ac.at

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