In this paper we study the quantitative homogenization of second-order parabolic systems with locally periodic (in both space and time) coefficients. The O(?) scale-invariant error estimate in L2(0,T;L2dd?1(?)) is established C1,1 cylinders under minimum smoothness conditions on This process relies critical estimates smoothing operators. We also develop a new construction flux correctors manner...

In this paper the authors present a derivation of back-scatter rotational Large Eddy Simulation model, which is extension Baldwin & Lomax model to non-equilibrium problems. The particularly designed mathematically describe fluid filling domain with solid walls and consequently differential operators appearing in smoothing terms are degenerate at boundary. After prove some mathematical propertie...

This paper describes a new spatial operator algebra for the dynamics of general{topology rigid multibody systems. Spatial operators allow a concise and systematic formulation of the dynamical equations of motion of multibody systems and the development of e cient computational algorithms. Equations of motion are developed for progressively more complex systems: serial chains, topological trees,...

This paper describes a new spatial operator algebra for the dynamics of general{topology rigid multibody systems. Spatial operators allow a concise and systematic formulation of the dynamical equations of motion of multibody systems and the development of e cient computational algorithms. Equations of motion are developed for progressively more complex systems: serial chains, topological trees,...

SUMMARY The system of inhomogeneous Cauchy{Riemann equations deened on a square domain and subject to Dirichlet boundary conditions is considered. This problem is discretised by using the cell vertex nite volume method on quadrilateral meshes. The resulting algebraic problem is overdetermined and the solution is deened in a least squares sense. By this approach a consistent algebraic problem is...

The paper presents a convergence analysis of a multigrid solver for a system of linear algebraic equations resulting from the discretization of a convection-diffusion problem using a finite element method. We consider piecewise linear finite elements in combination with a streamline diffusion stabilization. We analyze a multigrid method that is based on canonical intergrid transfer operators, a...