An energy-preserving explicit extension operator is proposed to extend finite element functions defined on the boundary of a star-shaped polygonal domain into its interior. The pre-assigned finite element triangulation in the interior of the domain needs not be multilevel-structured. The extension operator has wide applications in the construction of non-overlapping domain decomposition methods...

it is well know that any three impedances or admittances connected into each other in a star form can be easily transformed to a new three impedances or admittances connected into each other in a mesh form. in this paper a generalization of this fact is established and it is shown that in an n + 1 node network which is connected in a form it is always possible to eliminate the center node and o...

materials and methods samples were collected from six different farms and milk factories in iran, and were tested by beta-star and cylinder-plate methods. results among 992 raw milk samples, 236 positive samples, 9 suspected and 747 negative samples in respond to beta-star test and among 236 samples, which had positive responses to beta-star test, 28 positive, 0 suspected and 208 negative resul...

We have carried out a series of small scale collisional N-body calculations of single-mass star clusters to investigate the dependence of the lifetime of star clusters on their initial parameters. Our models move through an external galaxy potential with a logarithmic density profile and they are limited by a cut-off radius. In order to find scaling relations between the lifetime of star cluste...

We calculate the first dynamical evolutions of merging black hole-neutron star binaries that construct the combined black hole-neutron star spacetime in a general relativistic framework. We treat the metric in the conformal flatness approximation, and assume that the black hole mass is sufficiently large compared to that of the neutron star so that the black hole remains fixed in space. Using a...

Marine saponins are naturally glycosides compounds which possess important biomedical properties such as anti-cancer, antioxidant and anti-inflammatory. Nevertheless, no systematic studies on the anti-inflammatory potential of brittle star saponin and its underlying mechanisms have been reported. In this study, Ophiocoma erinaceus extracted saponin was investigated for its in vitro anti-inflamm...