This Master Thesis deals with the drawing algorithms of graphs known from the mathematical theory. These algorithms deals with an appropriate distribution of the graph vertices in order to obtain the most clear and readable graphs for human readers. The main objective of this work was also to implement the drawing algorithm in the application that would allow to edit the graph. This work deals also with graphs representation in computers.

La détermination de la forme d'un obstacle élastique immergé dans un milieu fluide à partir de mesures du champ d'onde diffracté est un problème d'un vif intérêt dans de nombreux domaines tels que le sonar, l'exploration géophysique et l'imagerie médicale. A cause de son caractère non-linéaire et mal posé, ce problème inverse de l'obstacle (IOP) est très difficile à résoudre, particulièrement d'un point de vue numérique. De plus, son étude requiert la compréhension de la théorie du problème de diffraction direct (DP) associé, et la maîtrise des méthodes de résolution correspondantes. Le travail accompli ici se rapporte à l'analyse mathématique et numérique du DP élasto-acoustique et de l'IOP. En particulier, nous avons développé un code de simulation numérique performant pour la propagation des ondes associée à ce type de milieux, basé sur une méthode de type DG qui emploie des éléments finis d'ordre supérieur et des éléments courbes à l'interface afin de mieux représenter l'interaction fluide-structure, et nous l'appliquons à la reconstruction d'objets par la mise en oeuvre d'une méthode de Newton régularisée. / The determination of the shape of an elastic obstacle immersed in water from some measurements of the scattered field is an important problem in many technologies such as sonar, geophysical exploration, and medical imaging. This inverse obstacle problem (IOP) is very difficult to solve, especially from a numerical viewpoint, because of its nonlinear and ill-posed character. Moreover, its investigation requires the understanding of the theory for the associated direct scattering problem (DP), and the mastery of the corresponding numerical solution methods. The work accomplished here pertains to the mathematical and numerical analysis of the elasto-acoustic DP and of the IOP. More specifically, we have developed an efficient numerical simulation code for wave propagation associated to this type of media, based on a DG-type method using higher-order finite elements and curved edges at the interface to better represent the fluid-structure interaction, and we apply it to the reconstruction of objects with the implementation of a regularized Newton method.

ARCHITECTURE The centre and entrance point for atrection a relx is terace with pool, with corridor to cafe and skylights that leads to reception. Around this atrium, there is a ramp, rising up. Pools are not see n ko the screens are individual attractions, atmosphere. The height change of each pool, sauna and whether this involves physical effort is rewarded with open views to the surroundings and relax themselves. Entering the building through a covered, but bright bay, passage is a continuation of the street fishing. Thus the very end of the reception side. Thus eliminate the problem of a parcel which is like a scene out of town. Layout In the passages suggest leaving the car park, Kafe-bar with a simple menu and fresh multifunctional workshop, creative playground. It is known fact, that in the old spa locations to find valuable pieces of pottery, small painting and sculpture and other artifacts that speak of links with the vivacious work, relax, relax with a manual and spiritual. This room will also serve as a nursery for parents resting in the spa, in the specified date and time. Upon entering the spa itself, the reception with high ceilings and skylights from the terrace, the visitor to the issue of changing rooms with bathroom facilities. Consequently, the choice whether to receive the attractions, or go down to the fitness center or gym. Another option is to move the spa itself. In the direction from the top down it is pliable dough, the blood will get the opposite route, in which the visitor shall issue a physical effort. 2np In addition to coffee for guests only and exit to the terrace, and massage booths are located. Much of the area occupied by the technical room, spa bath as well as administration. On the next floor guest vystkytne a larger foyer, drinking KURO room and swimming and first aid. Glass facades can be glanced only in forests of the Riviera, but the atrium, with an outdoor terrace and heated swimming pool at all times. Foyer is the actual beginning of the journey. The first ramp is rising just from my father. All the dark hallway, followed by a bright and translucent glass facades. The key is just a wall bordering the ramps and a few additional columns for the perimeter of the building. About half a meter above (and always rises only about 500 mm, the gradient of 1:16 to 8 meters length), the visitor gets to the first pool. Sunny southern facade is designed as a double, at this point is the greenhouse, it is no wonder that the first two pools are linked to breathing, inhalation, nature herbs. The hall (+7400) is glass mat glass sanitary unit consisting of two toilets, toilets for disabled people and installation bay. On one front wall of the shower. This element is repeated, the cabin is only 2.6 meters high (sv room is 3.65 meters), it was acting to hinder lightweight and transparent. On the left side counterclockwise overcomes next ramp stages. Pools are right to counter a výrivý. In this part of the facade facing the street catchment area, the intersection of fishing and of 8 m of pools have already seen the two interface Brno: Petrov and Špilberk. There is also a visitor gets to escape-connecting staircase. Possibility of shortening the path to the sauna is right here. The following pool of options in turn draws the double facade. Studenúuvodu make cold, shielded, north-facing environment. Hot pool at a height level of hygiene cab ...