A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model

We study a finite element computational model for solving the coupled problem arising in the interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is governed by the Stokes equations, while the flow in the poroelastic medium is modeled using the Biot poroelasticity system. Equilibrium and kinematic conditions are imposed on the interface. A mixed Darcy formulation is employed, resulting in continuity of flux condition of essential type. A Lagrange multiplier method is employed to impose weakly this condition. A stability and error analysis is performed for the semi-discrete continuous-in-time and the fully discrete formulations. A series of numerical experiments is presented to confirm the theoretical convergence rates and to study the applicability of the method to modeling physical phenomena and the sensitivity of the model with respect to its parameters

INFLUENCE OF THE EVENTS OF FEBRUARY 1917 ON IDEAS OF LOCAL COMMUNITIES ABOUT THE STATE SYSTEM OF CAUCASUS PEOPLES

The article studies the development of ideas of Caucasus communities as regards their status and position in Russia in 1917. With the reference to memoirs of contemporaries and participants of the events it is claimed that the overthrow of Russian monarchy became, on the one hand, impetus for activity in the regions as political and intellectual elite sought to prepare and form a part of Russian federative state as autonomy. On the other hand, as the Interim government grew weak centrifugal forces intensified. The unity of Transcaucasia and the North Caucasus in their political and social development during February-October 1917 is revealed

A new flare star member candidate in the Pleiades cluster

We present a new flare star, which was discovered during our survey on a selected field at the edge of the Pleiades cluster. The field was observed in the period 2007 - 2010 with three different CCD-cameras at the University Observatory Jena with telescopes from 25 to 90 cm. The flare duration is almost one hour with an amplitude in the R-band of about 1.08 mag. The location of the flare star in a color-magnitude diagram is consistent with age and distance of the Pleiades. In the optical PSF of the flare star there are two 2MASS objects (unresolved in most images in the optical Jena PSF), so it is not yet known which one of them is responsible for this flare. The BVRIJHK colors yield spectral types of M1 and M2 with extinction being A_V=0.231+/-0.024 mag and A_V=0.266+/-0.020 for those two stars, consistent with the Pleiades cluster.Comment: 8 pages, 7 figure

Structural Theory for Laminated Anisotropic Elastic Shells

A linear theory is formulated for analysis of small deflections of thin shells with arbitrary geometrical configuration and laminated of an arbitrary number of layers of different thicknesses, orientations, and anisotropic elastic coefficients. An accurate shell theory (Vlasov's) is used, and the composite-shell constitutive relation incorporates the anisotropic stretching-bending coupling effects considered by Stavsky. For shells of arbitrary geometry, it is found necessary to introduce a new parameter Fij ≡ ∫h z 3Qijdz in the con stitutive relation. This parameter is zero for homogeneous aniso tropic materials and for anisotropic materials laminated symmetri cally with respect to the middle surface. However, for a two-layer filament-wound shell, this parameter can increase the flexural rigidity by 3%, which is greater than a 2% effect considered in a previous layered-anisotropic cylindrical shell analysis.Yeshttps://us.sagepub.com/en-us/nam/manuscript-submission-guideline