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