The purpose of this paper is to consider a class of non-smooth multiobjective semi-infinite programming problem. Based on the concepts of local cone approximation, K − directional derivative and K − subdifferential, a new generalization of convexity, namely generalized uniform ( , , , ) K F d α ρ − − convexity, is defined for this problem. For such semi-infinite programming problem, several suf...

In this paper, we apply the coupling of local discontinuous Galerkin(LDG) and natural boundary element (NBE) methods to solve a class of exterior transmission problems in the plane. As a consequence, the main features of LDG and NBEM are maintained and hence the coupled approach benefits from the advantages of both methods. Referring to \cite{Gatica2010}, we employ LDG subspaces whose functions...

We consider the problem of identifying weak sharp local minimizers of order m, an important class of possibly non-isolated local minimizers. A characterization of such minimizers is obtained for a nonlinear programming problem with an abstract set constraint. The results are formulated in terms of certain normal and tangent cones to given sets, and generalized directional derivatives of the obj...

This paper presents the development of the differential importance measures (DIM), proposed recently for the use in risk-informed decision-making, in the context of Markov reliability models. The proposed DIM measures are essentially based on directional derivatives. They can be used to quantify the relative contribution of a component (or a group of components, a state or a group of states) of...

In this paper, we introduce a new class of generalized dI-univexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di for a nondifferentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible point to be efficient and properly efficien...

This paper presents an a posteriori residual error estimator for diffusion-convectionreaction problems approximated by some cell centered finite volume methods on isotropic or anisotropic meshes in Rd, d = 2 or 3. For that purpose we built a reconstructed approximation, which is an appropriate interpolant of the finite volume solution. The error is then the difference between the exact solution...

The HERA stability code [1] computes the spectrum of the ideal MHD stability operator of helically symmetric equilibria. HERA is a modification of the ERATO code [2], which treats the stability of axisymmetric equilibria. In both codes two different procedures are provided for calculating the potential energy of a vacuum region bounded by the plasma surface and a surrounding conducting wall. Th...

We explore the convergence of Kergin interpolation polynomials of holomorphic functions in Banach spaces, which need not be of bounded type. We also investigate a case where the Kergin series diverges. Kergin interpolation is a generalization of both Lagrange interpolation in the one dimensional case, and the Taylor polynomial in the case where all interpolation points coincide. In several vari...

The directional hypercube (Dcube) which is a cost-effective variation of the traditional binary hypercube is introduced and analyzed in this paper. It employs directional (simple duplex) links only. The Dcube is defined and its key properties are derived including diameter, bandwidth, and connectivity. The diameter is at most 2 greater than that for a hypercube of the same size; the bandwidth i...

TROPOMI’s Aerosol Layer Height algorithm currently assumes a simplified aerosol profile in the form of a single layer of homogeneously distributed aerosols. The height of this layer is retrieved by using height information from the O2 A band. It is not straightforward to interpret the retrieved height parameter, since true aerosol profiles are typically complex and heterogeneous. We used radiat...