Prof. Dr. Stefan Sauter (Universität Zürich) : "A Posteriori Error Majorant for Elliptic Partial Differential Equations with Applications to Homogenization"
LMS 2 - Raum Ü2/K
In our talk, we will present new two-sided estimates of
modeling errors for linear elliptic boundary value problems
with periodic coefficients solved by homogenization method.
Our approach is based on the concept of functional a posteriori
error estimation. The estimates are obtained for the energy norm
and use solely the global flux of the non-oscillatory solution
of the homogenized model and solutions of some cell problem.
Numerical tests illustrate the efficiency of the estimates.