This work analyzes a least-squares method in order to solve implicit time schemes associated the 2D and 3D Navier–Stokes system, introduced 1979 by Bristeau, Glowinksi, Periaux, Perrier Pironneau. Implicit reduce numerical resolution of system multiple resolutions steady equations. We first construct minimizing sequence (by gradient type method) for functional which converges strongly quadratic...

Expositions of the Euler equations for rotation a rigid body often invoke idea specially damped system whose energy dissipates while its angular momentum magnitude is conserved in frame. An attempt to explicitly construct such damping function leads more general, but still integrable, cubic trajectories are confined nested sets quadric surfaces space. For some choices parameters, lines fixed po...

Analysis of the free and forced vibration responses beams is one most critical problems to be examined in design step these structural members. The finite-element method which solves boundary value can applied efficiently problems. In this study, natural frequency damped undamped transient analyses pinned-pinned are investigated. well-known software packages, ANSYS SAP2000, used. 2-D elastic be...

Machine tools based on a Stewart platform are considered the machine tools of the 21st century. Difficult problems exist in the design philosophy, of which forward displacement analysis is the most fundamental. Its mathematical model is a kind of strongly nonlinear multivariable equation set with unique characteristics and a high level of difficulty. Different variable num...

This paper presents a new method for cloth simulation, which uses asynchronous variants of both time integration and collision handling. Implicit integration methods like backward Euler and BDF-2 are very popular in computer graphics, since they allow for fast and stable animations. However, when combined with large time steps, their inherent numerical dissipation results in over-damped simulat...

Algebraic Riccati equations (ARE) of large dimension arise when using approximations to design controllers for systems modelled by partial differential equations. We use a modified Newton method to solve the ARE that takes advantage of several special features of these problems. The modified Newton method leads to a right-hand side of rank equal to the number of inputs regardless of the weights...

We present some models of viscoelastic systems with long-memory behaviour; we then provide both thorough mathematical analysis and numerical simulations of these models by means of so-called diiusive representations. The models under consideration are the basic harmonic oscillator with fractional damping, the generalized Lokshin model of waves, and also the boundary feedback control of the Eule...

We analyse the one-dimensional pressureless Euler-Poisson equations with a linear damping and non-local interaction forces. These equations are relevant for modelling collective behavior in mathematical biology. We provide a sharp threshold between the supercritical region with finite-time breakdown and the subcritical region with global-in-time existence of the classical solution. We derive an...

Algebraic Riccati equations (ARE) of large dimension arise when using approximations to design controllers for systems modelled by partial differential equations. We use a modified Newton method to solve the ARE that takes advantage of several special features of these problems. The modified Newton method leads to a right-hand side of rank equal to the number of inputs regardless of the weights...

A control system is proposed for a low Earth orbit gravity gradient stabilised microsatellite using Z wheel. The microsatellite is 3-axis stabilized using a yaw reaction wheel, with dual redundant 3-axis magnetorquers. Two vector magnetometers and four dual sun sensors are carried in order to determine the full attitude. The attitude was estimated using an Euler angles (small libration version)...