In this paper , we conduct a thorough mathematical analysis of the unified formulation advocated by Lauser et al . [ Adv Water Res 34 (2011), 957-966] for compositional multiphase flows in porous media The interest lies its potential to automatically handle appearance and disappearance phases. However practical implementation turned out be not always robust realistic fugacity laws associated wi...

Sentences that exhibit sensitivity to order (e.g. John and Mary arrived at school in that order and Mary and John arrived at school in that order) present a challenge for the standard formulation of plural logic. In response, some authors have advocated new versions of plural logic based on fine-grained notions of plural reference, such as serial reference [Hewitt 2012] and articulated referenc...

Moving-Least Squares (MLS) surfaces are a popular way to define a smooth manifold surface from a set of unorganized points without normals. In this paper we present a formulation of MLS surfaces that sheds light on shortcomings of the original technique proposed by Levin, which is based on a two-step minimization procedure. We show that there are cases intrinsic to the geometry of the underlyin...

The Virtual Path (VP) concept in ATM networks simplifies network structure, traffic control and resource management. For VP formulation, a VP can carry traffic of the same type (the separate scheme) or of different types (the unified scheme). For VP adjustment, a certain amount of bandwidth can be dynamically assigned (reserved) to VPs, where the amount (the bandwidth incremental/decremental si...

Using the weighted residual formulation we derive a-posteriori estimates for Discontinuous Galerkin approximations of second order elliptic problems in mixed form. We show that our approach allows to include in a unified way all the methods presented so far in the literature.