The summer school addresses young researchers from mathematics and engineering who are already working in the field of multiscale modeling and homogenization or are interested in these field. It is primarily meant for PhD students, but also Master students or PostDocs are very welcome. In the spirit of GAMM, we explicitly encourage people from both mathematics and engineering to participate.

August 24-28, 2026

This summer school covers mathematical and computational methods for multiscale modeling and homogenization, addressing both analytical foundations and numerical techniques with applications in solid mechanics and fluid dynamics in heterogeneous media.

The mathematical theory of homogenization is developed for periodically perforated domains, starting from asymptotic expansion of microscopic solutions and their rigorous justification via two-scale convergence. A central application is the derivation of the Darcy law from the Stokes equations in porous media, along with the associated restriction and Bogovskii operators. On the numerical side, the Heterogeneous Multiscale Method and the Localized Orthogonal Decomposition are introduced, including their error analysis and application to wave propagation problems.

The computational micromechanics part covers FFT-based methods on Cartesian grids using finite element and finite difference discretizations, geometric methods for modeling random microstructures of inclusion-based composites and aggregate materials, and Deep Material Networks – a hierarchical laminate-based deep learning approach for concurrent multiscale simulations of inelastic material behavior. Additionally, variationally consistent computational homogenization is presented as a framework for deriving scale-transition rules in coupled transient problems, with a focus on thermodynamic consistency and proper information transfer between scales.

Lectures are complemented by hands-on coding sessions, giving participants both theoretical grounding and practical experience with state-of-the-art tools for bridging micro- and macroscopic descriptions of heterogeneous materials.

The summer school will be on-site at University of Duisburg-Essen, Campus Essen, in Germany.

Registration form

Registration fee: 80€

Deadline: July 15th, 2026

Prof. Barbara Verfürth
Institute of Numerical Simulation
University of Bonn, Germany

Prof. Matti Schneider
Institute of Engineering Mathematics, Civil Engineering
University of Duisburg-Essen, Essen, Germany

Prof. Ralf Jänicke
Institute of Applied Mechanics
TU Braunschweig, Germany

Prof. Markus Gahn
Mathematical Image Processing, Institute of Mathematics
Augsburg University, Germany

We recommend the following hotels.

Please be sure to book directly with the hotel and mention the code SAMM26 to receive the listed rate.

Premier Inn Essen City Center 69€/night, excl. breakfast, expires 20.07. contact: Groups.west@premierinn.com

Hotel Essener Hof 79€/night, incl. breakfast, expires 13.07. contact: hotel@essener-hof.com

If you have any questions, please contact

gamm.juniors@gmail.com

Universitätsstraße 15
45141 Essen, Germany

Room: V15 R04 H52

For questions please write an e-mail to

gamm.juniors@gmail.com

Jonas Heinzmann (ETH Zürich)
Sonja Hellebrand (Uni Duisburg-Essen)
Georgia Kikis (Uni Duisburg-Essen)
Dominik Klein (TU Darmstadt)
Richard Schussnig (TU Graz, UT Austin)
Jendrik Tröger (TU Clausthal)
David Wiedemann (TU Dortmund)