Method Developement FETI
- Coarse-Grids for dynamic and special heterogeneous problems
- Reorthogonalization for time-stepping methods
- Nonlinear FETI methods
- Methods for identification of convergence decelerating subspaces
Student projects covering the research topics can be found here.
For the analysis of problems in structural mechanics, the FETI method (Finite Element Tearing and Interconnecting) has established itself as reliable domain decomposition algorithm for large scale problems und parallelization. Difficulties arise when dealing with jumps in material properties like density or Young’s modulus, meaning that very different materials are combined.
One central topic when searching for improved of the FETI algorithms is the global exchange of information using coarse-grids to preserve numerical scalabilty as well as convergence and robustness in difficult problems. Handling transient problems using time-stepping algorithms methods like reorthogonalization of former search directions offer potential to accelerate the FETI method. Finally, nonlinearities, whether geometrical or in form of material laws, are very important for various problems.
The goal of this project is to analyse the mentioned difficulties and methods in the context of dealing with problems in structural mechanics using FETI algorithms as well as the consistent further development of these methods to improve the speed of convergence, robustness and versatility of FETI. The development and expansion of own scientific codes is an elementary part of the project.
- Dipl.-Ing. Michael Leistner