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Uncertainty on radiation doses estimated by biological and retrospective physical methods
(Radiation Protection Dosimetry, 20170918)Biological and physical retrospective dosimetry are recognised as key techniques to provide individual estimates of dose following unplanned exposures to ionising radiation. Whilst there has been a relatively large amount ... 
Underwater Robot Task Planning Using MultiObjective MetaHeuristics
(Sensors, 201704)Robotics deployed in the underwater medium are subject to stringent operational conditions that impose a high degree of criticality on the allocation of resources and the schedule of operations in mission planning. In this ... 
Unified modeling language description of the objectoriented multiscale adaptive finite element method for stepandflash imprint lithography simulations
(IOP Conference Series: Materials Science and Engineering, 20141231)In the first part of the paper we present the multiscale simulation of the StepandFlash Imprint Lithography (SFIL), a modern patterning process. The simulation utilizes the hp adaptive Finite Element Method (hpFEM) ... 
Uniformly exponentially stable approximations for a class of damped systems
(Journal des Mathematiques Pures et Appliquees, 20091231)We consider time semidiscrete approximations of a class of exponentially stable infinitedimensional systems modeling, for instance, damped vibrations. It has recently been proved that for time semidiscrete systems, due ... 
Uniqueness and Properties of Distributional Solutions of Nonlocal Equations of Porous Medium Type
(Advances in Mathematics, 20160901)We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem for the anomalous diffusion equation $\partial_tu\mathcal{L}^\mu [\varphi (u)]=0$. Here $\mathcal{L}^\mu$ ... 
Uniqueness of degreeone Ginzburg–Landau vortex in the unit ball in dimensions N ≥ 7
(Comptes Rendus Mathematique, 20180901)For ε>0, we consider the GinzburgLandau functional for RNvalued maps defined in the unit ball BN⊂RN with the vortex boundary data x on ∂BN. In dimensions N≥7, we prove that for every ε>0, there exists a unique global ... 
Uniqueness properties for discrete equations and Carleman estimates
(Journal of Functional Analysis, 20170325)Using Carleman estimates, we give a lower bound for solutions to the discrete Schrödinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of ... 
Universal bounds for large determinants from noncommutative Hölder inequalities in fermionic constructive quantum field theory
(Mathematical Models and Methods in Applied Sciences (M3AS), 20170802)Efficiently bounding large determinants is an essential step in nonrelativistic fermionic constructive quantum field theory to prove the absolute convergence of the perturbation expansion of correlation functions in terms ... 
Universal Bounds for Large Determinants from Non–Commutative Ho ̈lder Inequalities in Fermionic Constructive Quantum Field Theory
(20160101)Efficiently bounding large determinants is an essential step in non–relati vistic fermionic constructive quantum field theory, because, together with the summability of the interaction and the covariance, it implies the ... 
Unlocking datasets by calibrating populations of models to data density: a study in atrial electrophysiology
(Science Advances, 20180110)The understanding of complex physical or biological systems nearly always requires a characterization of the variability that underpins these processes. In addition, the data used to calibrate these models may also often ... 
Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Approach
(Numerische Mathematik, 20141231)We recall the Pressurized and Free Surface model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated as a free boundary ... 
Unstructured, curved elements for the twodimensional high order discontinuous controlvolume/finiteelement method
(International Journal for Numerical Methods in Engineering, 20141231)Quadrilateral and triangular elements with curved edges are developed in the framework of spectral, discontinuous, hybrid controlvolume/finiteelement method for elliptic problems. In order to accommodate hybrid meshes, ... 
The value of continuity: Refined isogeometric analysis and fast direct solvers
(Computer Methods in Applied Mechanics and Engineering, 20160923)We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) ... 
Variable coefficient Wolfftype inequalities and sharp local smoothing estimates for wave equations on manifolds
(2018)The sharp Wolfftype decoupling estimates of BourgainDemeter are extended to the variable coefficient setting. These results are applied to obtain new sharp local smoothing estimates for wave equations on compact Riemannian ... 
Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities
(Nonlinear Analysis, 20180215)We prove global Calder\'onZygmund type estimate in Lorentz spaces for variable power of the gradients to weak solution of nonlinear elliptic equations in a nonsmooth domain. We mainly assume that the nonlinearities are ... 
Variational multiscale stabilization for compressible flow
(Computer Methods in Applied Mechanics and Engineering, 2018)This paper presents a variational multiscale stabilization for the finite element numerical solution of the Euler and NavierStokes equations of compressible flow. All the components of the dual operator are considered in ... 
Velocity and energy distributions in microcanonical ensembles of hard spheres
(Physical Review E  Statistical, Nonlinear, and Soft Matter Physics, 20151231)In a microcanonical ensemble (constant NVE, hard reflecting walls) and in a molecular dynamics ensemble (constant NVEPG, periodic boundary conditions) with a number N of smooth elastic hard spheres in a ddimensional volume ... 
Vortex filament equation for a regular polygon
(Nonlinearity, 20141231)In this paper, we study the evolution of the vortex filament equation,$$ X_t = X_s \wedge X_{ss},$$with $X(s, 0)$ being a regular planar polygon. Using algebraic techniques, supported by full numerical simulations, we give ... 
Weak and strong $A_p$$A_\infty$ estimates for square functions and related operators
(Proceedings of the American Mathematical Society, 201707)We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes majorants of both standard singular integrals and square functions. Our main new result is the optimal bound $[w]_{A_p} ... 
Weak observability estimates for 1D wave equations with rough coefficients
(Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 20141231)In this paper we prove observability estimates for 1dimensional wave equations with nonLipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" estimate, which extends the wellknown observability ...