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A multilayer method for the hydrostatic NavierStokes equations: A particular weak solution
(Journal of Scientific Computing, 20141231)In this work we present a multilayer approach to the solution of nonstationary 3D NavierStokes equations. We use piecewise smooth weak solutions. We approximate the velocity by a piecewise constant (in z) horizontal ... 
A nearlyoptimal index rule for scheduling of users with abandonment
(Proceedings  IEEE INFOCOM, 20111231)We analyze a comprehensive model for multiclass job scheduling accounting for user abandonment, with the objective of minimizing the total discounted or timeaverage sum of linear holding costs and abandonment penalties. ... 
A Nonuniform Staggered Cartesian Grid approach for LatticeBoltzmann method
(Procedia Computer Science, 20151231)We propose a numerical approach based on the LatticeBoltzmann method (LBM) for dealing with mesh refinement of Nonuniform Staggered Cartesian Grid. We explain, in detail, the strategy for mapping LBM over such geometries. ... 
A note on complete hyperbolic operators with logZygmund coefficients
(Fourier Analysis  Pseudodifferential Operators, TimeFrequency Analysis and Partial Differential Equations'', M. Ruzhansky and V. Turunen eds., Trends in Mathematics, Birkh\\\auser, Basel.", 20141231)The present paper is the continuation of the recent work [7], and it is devoted to strictly hyperbolic operators with nonregular coefficients. We focus here on the case of complete operators whose secondorder coefficients ... 
A penalization and regularization technique in shape optimization problems
(SIAM Journal on Control and Optimization, 20131231)We consider shape optimization problems, where the state is governed by elliptic partial differential equations. Using a regularization technique, unknown shapes are encoded via shape functions, turning the shape optimization ... 
A posteriori error analysis of a stabilized mixed FEM for convectuiondiffusion problems
(AIMS Proceedings, 2015, 20151231)We present an augmented dualmixed variational formulation for a linear convectiondiffusion equation with homogeneous Dirichlet boundary conditions. The approach is based on the addition of suitable least squares type ... 
A posteriori error analysis of an augmented mixed finite element method for Darcy flow
(Computer Methods in Applied Mechanics and Engineering, 20151231)We develop an a posteriori error analysis of residual type of a stabilized mixed finite element method for Darcy flow. The stabilized formulation is obtained by adding to the standard dualmixed approach suitable residual ... 
A posteriori error control for fully discrete cranknicolson schemes
(SIAM Journal on Numerical Analysis, 20121231)We derive residualbased a posteriori error estimates of optimal order for fully discrete approximations for linear parabolic problems. The time discretization uses the Crank Nicolson method, and the space discretization ... 
A quantitative boundary unique continuation for stochastic parabolic equations
(Journal of Mathematical Analysis and Applications, 20131231)This paper is addressed to the boundary unique continuation property for forward stochastic parabolic equations, that is, to determine the value of the solution by virtue of the observation on an arbitrary open subset of ... 
A regularity property for Schrödinger equations on bounded domains
(Revista Matematica Complutense, 20131231)We give a regularity result for the free Schrödinger equations set in a bounded domain of ℝ N which extends the 1dimensional result proved in Beauchard and Laurent (J. Math. Pures Appl. 94(5):520554, 2010) with different ... 
A renewal model for the emergence of anomalous solute crowding in liposomes
(BMC Systems Biology, 20151231)A fundamental evolutionary step in the onset of living cells is thought to be the spontaneous formation of lipid vesicles (liposomes) in the prebiotic mixture. Even though it is well known that hydrophobic forces drive ... 
A result concerning the global approximate controllability of the NavierStokes system in dimension 3
(Journal des Mathematiques Pures et Appliquees, 20121231)In this paper we deal with the threedimensional NavierStokes system, posed in a cube. In this context, we prove a result concerning its global approximate controllability by means of boundary controls which act in some ... 
A Secondary Field Based hpFinite Element Method for the Simulation of Magnetotelluric Measurements
(Journal of Computational Science, 20151231)In some geophysical problems, it is sometimes possible to divide the subsurface resistivity distribution as a one dimensional (1D) contribution plus some two dimensional (2D) inhomogeneities. Assuming this scenario, we ... 
A splitting method for the nonlinear Schrödinger equation
(Journal of Differential Equations, 20111231)We introduce a splitting method for the semilinear Schrödinger equation and prove its convergence for those nonlinearities which can be handled by the classical wellposedness L2(Rd)theory. More precisely, we prove that ... 
A stable discontinuous Galerkintype method for solving efficiently Helmholtz problems
(Computers and Structures, 20121231)We propose a stable discontinuous Galerkintype method (SDGM) for solving efficiently Helmholtz problems. This mixedhybrid formulation is a twostep procedure. Step 1 consists in solving wellposed problems at the element ... 
A study of the apsidal angle and a proof of monotonicity in the logarithmic potential case
(Journal of Mathematical Analysis and Applications, 20141231)This paper concerns the behaviour of the apsidal angle for orbits of central force system with homogeneous potential of degree $2 \le \alpha \le 1$ and logarithmic potential. We derive a formula for the apsidal angle as ... 
A stylized model for the continuous double auction
(Lecture Notes in Economics and Mathematical Systems, 20121231)A stylized phenomenological model for the continuous double auction is introduced. This model is equivalent to two uncoupled M/M/1 queues. The conditions for statistical equilibrium (ergodicity) are derived. The results ... 
A systematic method for building smooth controls for smooth data
(Discrete and Continuous Dynamical Systems  Series B, 20101231)We prove a regularity result for an abstract control problem z' = Az + Bv with initial datum z(0) = z0 in which the goal is to determine a control v such that z(T) = 0. Under standard admissibility and observability ... 
A Systematization of the Unscented Kalman Filter Theory
(IEEE Transactions on Automatic Control, 20151231)In this paper, we propose a systematization of the (discretetime) Unscented Kalman Filter (UKF) theory. We gather all available UKF variants in the literature, present corrections to theoretical inconsistencies, and provide ... 
A twolevel finite element discretization of the streamfunction formulation of the stationary quasigeostrophic equations of the ocean
(Computers and Mathematics with Applications, 20131231)In this paper we proposed a twolevel finite element discretization of the nonlinear stationary quasigeostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the twolevel ...