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Graduate Seminar on Scientific Computing (S4E1)

Topic

Analysis and finite element approximation of variational problems with multiple scales.

Content

In this seminar we will study variational problems in heat conduction and elasticity with fine scale geometric details or rapidly oscillation material coefficients. We will investigate the homogenization approach to these problems and consider the approximation based on the coupling of a macroscopic and a microscopic finite element model. For this approximation error estimates will be established and an adaptive finite element strategy will be derived based on suitable a posteriori error estimates. Finally, the link to two scale shape optimization with optimized local microstructure will be investigated.

Expected background knowledge

Date and time

Thursday, 16-18, room 2.025.

Contact

Benedict Geihe


Optimized fine scale geometries for a two scale shape optimization problem.