We extend the applicability of the augmented dual-mixed method introduced recently in [4, 5] to the problem of linear elasticity with mixed boundary conditions. The method is based on the Hellinger–Reissner principle and the symmetry of the stress tensor is imposed in a weak sense. The Neuman boundary condition is prescribed in the finite element space. Then, suitable Galerkin least-squares typ...

We present a numerical method for the solution of three-dimensional linear magnetostatic problems by embedding their geometry into symmetric domain and Fourier expansion in symmetry coordinate, leading to set decoupled two-dimensional problems. Special cases include axial translational symmetry. To keep treatment universal, framework decomposition vector potential formulation is developed covar...

Much of the literature on symmetry reductions for model checking assumes a simple model of computation where the local state of each component in a concurrent system can be represented by an integer, and where components do not hold references to one another. Symmetry reduction techniques for model checking usually require a solution to the NP-hard Constructive Orbit Problem (COP)–computing the...

Aims. We provide a library of some 7000 SEDs for the nuclei of starburst and ultra luminous galaxies. Its purpose is to quickly obtain estimates of the basic parameters, such as luminosity, size and dust or gas mass and to predict the flux at yet unobserved wavelengths. The procedure is simple and consists of finding an element in the library that matches the observations. The objects may be in...

A dual-parametric finite element method is introduced in this paper for the computation of singular minimizers in the two dimensional cavitation problem in nonlinear elasticity. The method overcomes the difficulties, such as the mesh entanglement and material interpenetration, generally encountered in the finite element approximation of problems with extremely large expansionary deformation. Nu...

Large-area three-dimensional Penrose-type photonic quasicrystals are fabricated through a holographic lithography method using a lab-made diffractive optical element and a single laser exposure. The diffractive optical element consists of five polymer gratings symmetrically orientated around a central opening. The fabricated Penrose-type photonic quasicrystal shows ten-fold rotational symmetry....

Guided by a Hamiltonian treatment of spherically symmetric geometry, we are led to a remarkably simple – stationary, but not static – form for the line element of Schwarzschild (and Reissner-Nordstrom) geometry. The line element continues smoothly through the horizon; by exploiting this feature we are able to give a very simple and physically transparent derivation of the Hawking radiance. We c...

In small binary clusters consisting of a transition metal (TM) of the 3d series and a nonmagnetic element (C, Si, Cu), considerable magnetic moments are induced in the atoms of the nonmagnetic element by the TM. The induced magnetic moments may align ferromagnetically (FM) or antiferromagnetically (AF) with respect to the direction of the magnetic moment of the TM. It is shown that whether the ...