In this paper we consider a model elliptic optimal control problem with finitely many state constraints in two and three dimensions. Such problems are challenging due to low regularity of the adjoint variable. For the discretization of the problem we consider continuous linear elements on...

The paper is devoted to complementary approaches in a posteriori error estimation for a diffusion-reaction model problem. These approaches provide sharp and guaranteed upper bounds for the energy norm of the error and they are independent from the way how the approximate solution is obtained. In...

Large-area, glass-metal heliostats have collection areas in the range of 100 m2–200 m2. The heliostats of Solar Tower power station, with high accuracy requirements during performance, are located at open terrain or suburban terrain and they are sensitive to gust. Therefore, wind load and...

In this paper we analyze different schemes for obtaining gradient estimates when the underlying function is noisy.Good gradient estimation is e.g. important for nonlinear programming solvers.As an error criterion we take the norm of the difference between the real and estimated gradients.This...

This paper is concerned with heat transfer analysis and life prediction in the after shell section of a gas turbine combustion liner with internal cooling passage. The method in the present study is the process to design cooling systems which enhance the material lifetime as well as the cooling...

For the simulation of transport processes in porous media effective parameters for the physical processes on the target scale are required. Numerical upscaling, as well as multiscale approaches can help where experiments are not possible, or hard to conduct.

In this paper we present an analytical, parameter-free, Petrov-Galerkin method that gives stable solutions of convection dominated boundary-value problems. We call it the Best Approximation Weighted Residuals (BAWR) method since it gives the best approximation in the norm induced by the...