Research report 2014 - Max Planck Institute for Mathematics in the Sciences

Effective description of heterogeneous media

Marahrens, Daniel; Otto, Felix
Musterbildung, Energielandschaften und Skalierungsgesetze
In applications, it is often desirable to obtain macroscopic properties of heterogeneous materials with microscopic structures. It is possible to obtain these by simulating a representative volume element. In order to do so efficiently, one requires accurate error estimates which are derived by combining ideas from analysis and probability theory.

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