We consider the problem of gravitational clustering in a D-dimensional expanding universe and derive scaling relations connecting the exact mean two-point correlation function with the linear mean correlation function, in the quasilinear and nonlinear regimes, using the standard paradigms of scale-invariant radial collapse and stable clustering. We show that the existence of scaling laws is a g...

-A new two-dimensional (2D) shape-encoding scheme is introduced which is based on the idea of the angle-of-sight (AOS). Using this scheme, a shape can be efficiently transformed into a one-dimensional (ID) signature by recording the AOS vs. distance of each boundary point with respect to a shape-specific chord-of-sight (COS). The COS is selected by using an extension of the notion of shape boun...

A vectorized Matlab implementation for the P1 finite element is provided for the twodimensional linear elasticity with mixed boundary conditions. Vectorization means that there is no loop over triangles. Numerical experiments show that our implementation is more efficient than the standard implementation with a loop over all triangles.

A generalized-Laguerre-Hermite pseudospectral method is proposed for computing symmetric and central vortex states in Bose-Einstein condensates (BECs) in three dimensions with cylindrical symmetry. The new method is based on the properly scaled generalized-Laguerre & Hermite functions and a normalized gradient flow. It enjoys three important advantages: (i) it reduces a three dimensional (3D) p...

This work addresses stabilized equal-order finite elements for the hydrostatic approximation of the three-dimensional (3D) Stokes equations which is also called 2.5D Stokes problem. By defining appropriate averaging operators, several stabilized schemes for the two-dimensional (2D) Stokes problem can be generalized to this 2.5D problem, as e.g. pressure stabilized Petrov-Galerkin, local project...

We propose a Uzawa block relaxation domain decomposition method for a two-body contact problem with Tresca friction. We introduce auxiliary interface unknowns to transform the variational problem into a saddle-point problem. Applying a Uzawa block relaxation algorithm to the corresponding augmented Lagrangian functional we obtain a domain decomposition algorithm in which we have to solve two un...

The sol-gel transition is studied on a purely entropic two-dimensional model system consisting of hard spheres (disks) in which a fraction p of neighbors are tethered by inextensible bonds. We use a new method to measure directly the elastic properties of the system. We find that over a broad range of hard sphere diameters a the rigidity threshold is insensitive to a and indistinguishable from ...

The paper deals with the two-dimensional exterior boundary value problems of the steady-state oscillation theory for anisotropic elastic bodies. By means of the limiting absorption principle the fundamental matrix of the oscillation equations is constructed and the generalized radiation conditions of Sommerfeld–Kupradze type are established. Uniqueness theorems of the basic and mixed type bound...

In this article, the transient dynamic analysis of two dimensional coupled non-Fick diffusionelasticity is carried out in functionally graded materials (FGMs) under shock loading using meshless local Petrov–Galerkin (MLPG) method. By using a unit step function as the test functions on small subdomains of circular shape in the local weak-form, the local integral equations (LIEs) are obtained for...

Escherichia coli contains the CspA family, consisting of nine proteins (CspA to CspI), in which CspA, CspB, and CspG have been shown to be cold shock inducible and CspD has been shown to be stationary-phase inducible. The cspI gene is located at 35.2 min on the E. coli chromosome map, and CspI shows 70, 70, and 79% identity to CspA, CspB, and CspG, respectively. Analyses of cspI-lacZ fusion con...