Research Dr. Oliver Rheinbach
Short bio-data: Dr. rer. nat. (Ph.D. in Mathematics) from Universität Duisburg-Essen in 2006, research visits at the Courant Institute of Mathematical Sciences (New York University, USA), Argonne National Laboratory (Chicago, USA), Lawrence Livermore National Laboratory (Livermore, USA), Sandia National Laboratories (Albuquerque, USA) for a total of 6 months. Diploma studies at Universität zu Köln (Cologne) and McGill University (Montréal, Canada). Graduation from Universität zu Köln with a Master in Mathematics (Dipl.-Math.) and a Master in Business and Computer Science (Dipl.-Wirt.-Inf.). Secondary school in Germany, Saudi Arabia, and Canada.
- Domain Decomposition Methods
Preconditioners for PDEs constructed from, possibly approximate, solutions of local and global subproblems. The subproblems are typically obtained from a geometrical decomposition of the computational domain into subdomains.
- Iterative Substructuring Methods
- FETI Methods
A family of robust and highly scalable Schurcomplement methods with Lagrange multipliers. The solution is discontinuous until convergence, the normal derivative remains continuous.
- Fast Solvers
- Parallel Computing
Shared memory and distributed memory parallel computing on multi/many-core computers, clusters and supercomputers (->TOP500).
Weak scalability on JUGENE of the Jülich Supercomputing Center (JSC), Forschungszentrum Jülich. After a signifiant expansion JUGENE is Germany's fastest and the world's 3rd fastest supercomputer on the 33rd TOP500 list. JUGENE was already 2nd on the 30rd TOP500 list.
- Biomechanics, simulation of arterial walls, nonlinear finite element analysis of soft biological tissues.