Institutsseminar des IANS
Vortragender: Prof. S. I. Repin (V.A. Steklov Institute of
Mathematics in St.-Petersburg)
Thema: Estimates of deviations from exact solutions of boundary-value
problems with
the incompressibility condition
Zeit: Donnerstag, 03.07.2003, 16.00-17.00 Uhr
Ort: Seminarraum 7.122, Pfaffenwaldring 57
Abstract
In the talk we are focused on the class of boundary--value
problems that involves the incompressibility condition $div\,u=0$. Such
type conditions often arise in the models of continuum media, e.g. in the
theory of fluids. The main purpose is to present new computable upper
bounds
of the energy norm of the difference between the exact solution and an
approximation,
which are valid for any function from the admissible functional class. Such
estimates
are derived by analyzing only the differential problem and can be also
called
functional
type a posteriori error estimates. As an example, we consider the classical
Stokes
problem and some other models in the theory of NonNewtonian viscous fluids.