We examine the discontinuous first-order superfluid $^3$He A to B transition in vicinity of polycritical point (2.232 mK and 21.22 bar). find path-dependent transitions: cooling at fixed pressure yields a well defined line temperature-pressure plane, but this can be reliably crossed by depressurizing nearly constant temperature after transiting $T_{\rm c}$ higher pressure. This path dependence ...

We prove local and pointwise error estimates for the local discontinuous Galerkin method applied to the Stokes problem in two and three dimensions. By using techniques originally developed by A. Schatz [Math. Comp., 67 (1998), 877-899] to prove pointwise estimates for the Laplace equation, we prove optimal weighted pointwise estimates for both the velocity and the pressure for domains with smoo...

We prove local and pointwise error estimates for the local discontinuous Galerkin method applied to Stokes problem in two and three dimensions. By using techniques originally developed by A. Schatz [Math. Comp., 67 (1998), 877-899] to prove pointwise estimates for the Laplace equation, we prove optimal weighted pointwise estimates for both the velocity and the pressure for domains with smooth b...

A family of discontinuous Galerkin finite element methods is formulated and analyzed for Stokes and Navier-Stokes problems. An inf-sup condition is established as well as optimal energy estimates for the velocity and L2 estimates for the pressure. In addition, it is shown that the method can treat a finite number of nonoverlapping domains with nonmatching grids at interfaces.

Stability result is obtained for the approximation of the stationary Stokes problem with nonconforming elements proposed by Douglas et al [1] for the velocity and discontinuous piecewise constants for the pressure on quadrilateral elements. Optimal order H and L error estimates are derived.

We propose a low order discontinuous Galerkin method for incompressible flows. Stability of the discretization of the Laplace operator is obtained by enriching the space element wise with a non-conforming quadratic bubble. This enriched space allows for a wider range of pressure spaces. We prove optimal convergence estimates and local conservation of both mass and linear momentum independent of...

In a service environment a service provider needs to determine the amount and kinds of capacity to meet customers’ needs over many periods. To make good decisions, she needs to know the probability distribution of her customers’ demand in each period. We study a situation in which customers’ demand for a given service is random in each period, but inelastic, or modeled well by this assumption, ...

Software pipelining is a scheduling technique that is used by some product compilers in order to expose more instruction level parallelism out of innermost loops. Modulo scheduling refers to a class of algorithms for software pipelining. Most previous research on modulo scheduling has focused on reducing the number of cycles between the initiation of consecutive iterations (which is termed II) ...

• Autogenous laser welding produces concave end-crater in 17–4 PH that is prone to solidification cracking. Solidification cracking at weld causes leakage. The use of novel zigzag power ramp-down profile significantly shorter, discontinuous, and leakage free cracks. An analysis presents a problems automotive pressure sensor, caused by crater A two-beam (TBLW) was used circumferential weld, whic...

BACKGROUND The strength training can promote significant cardiovascular responses during its performance and it is interesting to devise strategies to reduce them, without compromising the strength production. OBJECTIVE To compare the acute cardiovascular responses of systolic arterial pressure (SAP), diastolic arterial pressure (DAP), heart rate (HR) and double product (DP) during the unilat...