Mathematical modeling and numerical simulation of physical and technical phenomena in engineering sciences belong to the most challenging tasks in applied mathematics and in scientific computing.
For the development of new algorithms that are required to efficiently solve complex real life problems a combination of numerical analysis, and scientific computing is essential.
There exist numerous applications in technical sciences which require a deeper mathematical understanding to derive efficient numerical simulation tools. Since we can not handle the whole range of applications we have to restrict ourselves to some typical examples. The proposed research program joins eleven projects which are mutually strongly inter-related. Unifying links are the mathematical modelling in the technical sciences, algorithms in optimisation with partial differential equations as constraints, the handling of coupled structures, the use of domain decomposition methods, as well as the need to develop appropriate preconditioned (parallel) iterative solution methods.
The aim of the proposed interdisciplinary Doctoral Program is to join the existing strengths at Graz University of Technology (TU Graz) and at the Karl Franzens University Graz (KFU) in order to establish a doctoral education of students in the interdisciplinary field of applied mathematics, optimisation, scientific computing and technical applications.
- Fast Boundary Element Methods for Simulations in Tunneling (G. Beer, O. Steinbach)
- Fast Multilevel Solvers in Electromagnetics (O. Biro, G. Haase)
- Sparse Eigenvalue/-Vector Solvers and Clustering (O. Biro, G. Haase, W. von der Linden)
- Multi-Scale CFD-Reaction Simulations (G. Brenn, G. Haase, H. Steiner)
- Shape Optimization in Fluids (G. Brenn, K. Kunisch)
- Large Eddy Simulation of Diffusion Flames (G. Brenn, O. Steinbach, H. Steiner)
- Parallel Algorithms in Poroelasticity (G. Haase, M. Schanz, O. Steinbach)
- Homogenization based on Optimization (K. Kunisch, M. Schanz)
- Vibrational Behaviour of Systems with Extended Contacts (W. Sextro, K. Kunisch)
- Mortar-Coupling of Finite and Boundary Elements (M. Schanz, O. Steinbach)
- Vibration and Wear of Rolling Systems (W. Sextro, O. Steinbach)