This paper proposes a C0 (non-Lagrange) primal finite element approximation of the linear elliptic equations in non-divergence form with oblique boundary conditions planar, curved domains. As an extension [Calcolo, 58 (2022), No. 9], Miranda–Talenti estimate for at discrete level is established by enhancing regularity on vertices. Consequently, coercivity constant proposed scheme exactly same a...

We classify 2+1 dimensional integrable systems with nonlocality of the intermediate long wave type. Links to waterbag system are established. Dimensional reductions constructed in this paper provide dispersive regularisations hydrodynamic equations governing propagation nonlinear waves a shear flow piecewise linear velocity profile (for special values vorticities).

Oxidation of NH3/n-heptane mixtures at pressures up to 100 atm and temperatures 400–900 K was characterized experimentally in a laminar flow reactor jet-stirred reactor. A detailed chemical kinetic model developed, updating the hydrogen amine subsets introducing subset for coupling with emphasis on NH2+n-heptane reaction. The provided good prediction ignition delay times measured rapid compress...

Wireless Sensor Networks (WSNs) is a promising technology with enormous applications in almost every walk of life. One the crucial WSNs intrusion detection and surveillance at border areas defence establishments. The are stretched over hundreds to thousands miles, hence, it not possible patrol entire region. As result, an enemy may enter from any point absence cause loss lives or destroy milita...

ion : Réutilisation : Légende : SI1 SI2 SIn te l-0 04 30 49 7, v er si on 2 4 Ja n 20 10 Chapitre 3 : Concepts de base et vue métier d’un composant métier processus 82 c) Origines de la variabilité Nous distinguons deux aspects qui peuvent être à l’origine de la variabilité représentée dans des CMP. 1. Variabilité des PM : un CMP modélise des PM similaires qui peuvent être déclinés de plusieurs...

Sparse logistic regression, as an effective tool of classification, has been developed tremendously in recent two decades, from its origination the $\ell_1$-regularized version to sparsity constrained models. This paper is carried out on regression by Newton method. We begin with establishing first-order optimality condition associated a $\tau$-stationary point. point can be equivalently interp...

The moving average (MA)-type scheme, also known as the smoothing method, has been well established within multivariate statistical process monitoring (MSPM) framework since 1990s. However, its theoretical basis is still limited to independent data, and optimality of equally or exponentially weighted scheme remains unproven. This paper aims weaken independence assumption in existing MA then exte...

Optimal control problems governed by partial differential equations have become a very active and successful research area. So, in this paper, we analyzed priori posteriori error estimates for the hp finite element discretization of elliptic Robin boundary problems. With discrete continuous optimality conditions problem, constructed estimators. Based on residual model coupled state approximatio...

Scalar theory of quantum electron beam optics, at the single-particle level, derived from Dirac equation using a Foldy–Wouthuysen-like transformation technique is considered. Round magnetic lenses with Glaser and power law models for axial field B(z) are studied. Paraxial propagator model lens obtained in terms well known fundamental solutions its paraxial motion. In case equations, by solving ...