7–11 Apr 2025
Lecture and Conference Centre
Europe/Warsaw timezone

Statistically compatible hyper-reduction for variationally consistent homogenization and its application to diffusion

8 Apr 2025, 17:10
20m
Room 12

Room 12

Speaker

Jan Hauck

Description

We present a statistically compatible hyper-reduction method and its application to time dependent diffusion processes in a homogenized two-phase materials consisting of inclusions in a matrix. We use a variationally consistent homogenization. The hyper-reduction method introduces generalized integration points which ensure the consistency with the first and second statistical moment of the fully integrated model. Because diffusion in the matrix is assumed to be much faster than diffusion inside the inclusions, the micro-scale cannot be assumed to be at equilibrium which introduces a time dependence.

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