Abstract for the talk on 17.07.2018 (15:15 h)
Oberseminar ANALYSIS - PROBABILITYDietmar Gallistl (University of Twente)
Numerical stochastic homogenization by quasilocal effective diffusion tensors
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.