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In this paper, we explore some properties of a Markov finite element approximation on a shape-regular triangulation over a polygonal region ⊂ R N . In order to find a fixed density of a Markov operator P : L 1 ( ) → L 1 ( ) efficiently, we propose and analyse a finite element scheme for approximating P , which preserves the Markov structure of the operator.

A physical model of laser-induced removal of thin absorbing films is proposed. The qualitative concepts of melt surface evaporation and of melt motion under the action of the reactive vapour pressure, of surface tension forces and of adhesion, support the model. The basic equations describing the removal process are solved numerically. An analytical parameter phi , characterising the relationship between the liquid and vapour phases of the removed material, is obtained. It is shown that, depending on the direction of the inequality phi <<1 or phi >>1, evaporation or liquid phase motion respectively plays the principle role in the film removal mechanism.

Problems o+ special tiigti education in laser applications are discussed.Education in the field of laser techniques, applied optics, interaction of laser radiation with matter is imperative and in demand +or many application areas.At laser technology chair 5t.PIFMO, besides laser technology, the basic education in three subject areas of laser applications is given: lasers in environment studies, laser medicine and laser safety.The education in laser technology is considered in more detail. The information about optical systems for technological lasers, laser techniques and physics, and laser beam interaction with solids are given in theoretical courses, in laboratories of lasers in microelectronics and lasers in optics technology and in the practical classes.

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