|engl. Beschreibung/ Kurzkommentar
||- Numerical approximation methods for the solution of systems of differential equations for structural mechanics problems (finite differences, finite element method, boundary element method, meshless methods):
Requirement for interpolation functions; polynomial and spline basis functions; checking procedures for discretization errors (error estimators); locking problems; mixed element formulations.
- Optimization methods based on gradients, Quasi-Newton methods, stochastic optimization methods and genetic algorithms, numerical determination of statistical characteristics and probabilities, Monte-Carlo methods in structural mechanics.
- Introduction to system identification, application to geomechanics, geometrically and physically nonlinear formulations, specific problems of numerical simulation of initial value problems in geotechnical applications, simulation of construction processes in excavations and tunnel sites.