The goal of this work is to construct and study hybrid and multiplicative two-level overlapping Schwarz algorithms with standard coarse spaces for the almost incompressible linear elasticity and Stokes systems, discretized by mixed finite and spectral element methods with discontinuous pressures. Two different approaches are considered to solve the resulting saddle point systems: a) a precondit...

In this paper the system dynamic influences in actuators with variable stiffness as contemporary used in robotics for safety and efficiency reasons are investigated. Therefore, different configurations of serial and parallel elasticities are modeled by dynamic equations and linearized transfer functions. The latter ones are used to identify the characteristic behavior of the different systems a...

In this work, we use flow visualization and rheometry techniques to study the dynamics and evolution of secondary flows in a model wormlike micellar solution sheared between concentric cylinders, i.e., in a Taylor-Couette (TC) cell. The wormlike micellar solution studied in this work contains cetyltrimethylammonium bromide (CTAB) and sodium salicylate (NaSal). This system can be shear banding a...

In this report, I am presenting the work done during my internship at the Biorobotics Laboratoryof EPFL. The broad goal of the project is elasticity characterization using learning and elasticitycompensation in Roombots modules.The Roombots project at BioRob uses modular, homogeneous and in-series robots. They aremoving, attaching or detaching and reconfiguring on a grid as sing...

A parameter-dependent rst-order system arising from elasticity problems is introduced. The system corresponds to the 2D isotropic elasticity equations under a stress-pressure-displacement formulation in which the nonnegative parameter measures the material compressibility for the elastic body. Standard and weighted least squares nite element methods are applied to this system, and analyses for ...

Date The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned discipline. In this thesis, we develop a first-order system least-squares (FOSLS) method to approximate the solution to the equations of geometrically-nonlinear elasticity in two dimensions. We con...

Besides the finite element method, the massspring discrete modeling is widely used in computer graphics. This discrete model allows to perform very easily interactive deformations and to handle quite complex interactions with only a few equations. Thus, it is perfectly adapted to generate visually correct animations. However, a drawback of this simple formulation is the relative difficulty to c...

The synthesis of controller algorithm for reversible electromechanical scanner of the telescope scanning axis is discussed. Digital control system is built without intermediate stage of synthesis of analog control law. The modified procedure for the synthesis of discrete optimal control law is introduced. Elasticity influence on static and dynamic characteristics of electromechanical scanner of...

Sharp trace regularity results have proven themselves to be of critical importance in the study of controllability and stabilizability of various systems, as well as being of great interest in their own right. Particular cases include the wave equation (see [9]) and both linear and nonlinear plate equations (see [5], [8]). In our study of the three-dimensional system of linear elasticity, we fo...

A quarterly, weakly-separable, Quadratic, Almost Ideal Demand System is estimated for beef, pork and chicken in Canada. The restrictions that would lead to the less flexible AIDS model were rejected at the five per cent level. Results for the first stage model indicated that demand for the meat group is inelastic, with an own-price elasticity of -0.24. Demand for beef in Canada was inelastic du...