Multiscale Problems:
Algorithms, Numerical Analysis and Computation

Hausdorff Trimester Program

January 3 - April 21, 2017

Organizers: Susanne C. Brenner, Björn Engquist, Max Gunzburger, Daniel Peterseim, Marc Alexander Schweitzer

Many physical processes in material sciences or geophysics are characterised by inherently complex interactions across a large range of non-separable scales in space and time. The resolution of all features on all scales in a computer simulation easily exceeds today's computing resources by multiple orders of magnitude. The observation and prediction of physical phenomena from multiscale models, hence, requires insightful numerical techniques to adaptively select relevant scales and effectively represent unresolved scales. The program has enhanced the development of corresponding algorithms and the mathematics behind them so that the reliable and efficient numerical simulation of challenging multiscale problems eventually becomes feasible in modern high performance computing environments.

We hosted long-term visitors and organized the following focused activities:

• Winter School on Numerical Analysis of Multiscale Problems (January 9-13)
• Workshop on Numerical Inverse and Stochastic Homogenization (February 13-17)
• Workshop on Non-local Material Models and Concurrent Multiscale Methods (April 3-7)