We first derive convergence and a priori stability, next reliability efficiency of posteriori error indicators for Biot poroelastic model coupled with an elastic in R3, solved by continuous Galerkin scheme (CG) the displacement mixed finite element flow. The system is decoupled fixed stress splitting algorithm. numerical implementation residual based simple, even discretization, but at expense ...

In a short interval toward the end of 1694, Isaac Newton developed two mathematical models for the theory of the astronomical refraction and calculated two refraction tables, but did not publish his theory. Much effort has been expended, starting with Biot in 1836, in the attempt to identify the methods and equations that Newton used. In contrast to previous work, a closed form solution is iden...

Evaporation of a pure liquid into a inert gas is studied theoretically and experimentally. In contrast with the case where the gas phase is made of pure vapor, the thermocapillary (Marangoni) effect strongly destabilizes the system, and results in intensive and often chaotic forms of interfacial convection. Theoretically, a generalized one-sided model is proposed, which allows to solve thermo-h...

Space distribution of low magnetic field amounting to 1 mT can be measured in detail using a commercial 3D probe with a modified control circuit. The probe was calibrated carefully using a known field from Helmholtz coils. The 3D positioning system enables the measurement of the field distribution. The apparatus was used for measuring the magnetic field of the electromagnetic flow meter. Additi...

The Biot coefficient is a parameter that encountered in the theory of classical poroelasticity, dealing with mechanics fluid-saturated porous medium elastic grains and an skeletal structure. In particular, plays important role partitioning externally applied stresses between pore fluid skeleton. conventional approach for estimating relies on mechanical testing poroelastic solid, both completely...

Linear poroelasticity models have important applications in biology and geophysics. In particular, the well-known Biot consolidation model describes coupled interaction between linear response of a porous elastic medium saturated with fluid diffusive flow within it, assuming small deformations. Although deterministic finite element methods for solving them numerically been well studied, there i...