We propose and analyze a finite element method for a semi– stationary Stokes system modeling compressible fluid flow subject to a Navier– slip boundary condition. The velocity (momentum) equation is approximated by a mixed finite element method using the lowest order Nédélec spaces of the first kind. The continuity equation is approximated by a standard piecewise constant upwind discontinuous G...

Arid ecosystems are liable to undergo sudden discontinuous transitions from a vegetated to a desert state as a result of human pressure and climate change. A predictive framework about the conditions under which such transitions occur is lacking. Here, we derive and analyze a general model describing the spatial dynamics of vegetation in arid ecosystems considering local facilitation as an esse...

We report on the pressure-induced phase transition in amorphous Germanium (a-Ge! using an ab initio constant pressure-relaxation simulation. a-Ge exhibits a first-order polyamorphic phase transition at 12.75 GPa with a discontinuous volume change of ;19%. The transition pressure is also calculated from the Gibbs free-energy curves, and it is found that the transition occurs at 5.2 GPa in agreem...

Introduction: Myostatin regulates skeletal muscle mass and adipogenesis, but serum response to continuous and discontinuous exercises training it has not been studied in menopause and menstrual groups of women. The purpose of this study was to investigate the serum response of myostatin, insulin and glucose to use four different aerobic exercises training in menopause and menstrual groups of wo...

We extend the results on minimal stabilization of Burman and Stamm (”Minimal stabilization of discontinuous Galerkin finite element methods for hyperbolic problems”, J. Sci. Comp., DOI: 10.1007/s10915-007-9149-5) to the case of the local discontinuous Galerkin methods on mixed form. The penalization term on the faces is relaxed to act only on a part of the polynomial spectrum. Stability in the ...

Beverage processing is open to new technologies; among them, nonthermal physical technologies such as discontinuous hydrostatic pressure (HHP), ultrahigh-pressure homogenization (UHPH), pulsed electric field (PEF), ultrasound (US), atmospheric cold plasma (APCP), or light (PL) are growing increasingly in the food industry [...]

In this note, we reinterpret a discontinuous Galerkin method originally developed by Huand Shu [1] (see also [2]) for solving Hamilton-Jacobi equations. By this reinterpretation,numerical solutions will automatically satisfy the curl-free property of the exact solutionsinside each element. This new reinterpretation allows a method of lines formulation, whichrenders a more na...