Abstract for the talk on 17.07.2018 (15:15 h)

Oberseminar ANALYSIS - PROBABILITY

Dietmar Gallistl (University of Twente)
Numerical stochastic homogenization by quasilocal effective diffusion tensors
17.07.2018, 15:15 h, MPI für Mathematik in den Naturwissenschaften Leipzig, A3 01 (Sophus-Lie-SR)

This talk proposes a numerical upscaling procedure for elliptic

boundary value problems with diffusion tensors that vary randomly on

small scales.

The method compresses the random partial differential operator to

an effective quasilocal deterministic operator that represents the

expected solution on a coarse scale of interest.

Error estimates consisting of a priori and a posteriori terms are

provided that allow one to quantify the impact of uncertainty in the

diffusion coefficient on the expected effective response of the process.