Our research expertise is in the fields of modeling, mathematical description and the development of related computational techniques for sophisticated problems in solid mechanics. This covers problems such as:
Constitutive description of the inelastic properties of materials and numerical algorithms for robust computations
Efficient and reliable algorithms for (rolling-) contact problems
Sophisticated computational techniques for time dependent problems, like structural dynamics, damage and fatigue, aging and growth
Modeling approaches for multi-scale and multi-physics problems
Computational methods for uncertainty treatment
We are researching sophisticated numerical methods in the fields:
Arbitrary Lagrangian Eulerian (ALE) computational techniques
Time Discontinuous Galerkin (TDG) for Advection-Diffusion-Reaction (ADR-) equations
Discontinuous Galerkin (DG) methods for high dimensional problems
Adaptive schemes for consistent Molecular-Dynamics (MD) - Finite Element (FE) coupling
Stochastic Finite Element Methods (SFEM)
Model reduction techniques