In this paper we discuss inverse problems in infiltration. We propose an efficient method for identification of model parameters, e.g., soil parameters for unsaturated porous media. Our concept is strongly based on the finite speed of propagation of the wetness front during the infiltration into a dry region. We determine the unknown parameters from the corresponding ODE system arising from the original porous media equation. We use the automatic differentiation implemented in the ODE solver LSODA. Several numerical experiments are included.
The paper gives detailed overview of the prototype of autonomous mobile robot Advee, developed for presentation purposes. Mechanical, electrical, sensor and software subsystems are described in the paper together with key algorithms such as localization and motion planning. Advee already performed over 600 hours of operation among common people, the experiences gained from the operation are also summarized in the paper. and Obsahuje seznam literatury