Publication
Theoretical analysis of two-step holographic recording with high-intensity pulses
Publications associées (41)
Numerical methods for random and stochastic partial differential equations
Mathematical models involving partial differential equations (PDE) arise in numerous applications ranging from Natural Sciences and Engineering to Economics. Random and stochastic PDE models become very powerful (and sometimes unavoidable) extensions of de ...
2016MATHICSE Technical Report : An adjoint-based method for the numerical approximation of shape optimization problems in presence of fluid-structure interaction
In this work, we propose both a theoretical framework and a numerical method to tackle shape op- timization problems related with uid dynamics applications in presence of uid-structure interactions. We present a general framework relying on the solution of ...
MATHICSE2016Improving the quality of filament-impaired images in Kerr media by statistical averaging
Demetri Psaltis, Alexandre Goy
In focusing Kerr media, small- scale filamentation is the major obstacle to imaging at high light intensities. In this article, we experimentally and numerically demonstrate a method based on statistical averaging to reduce the detrimental effects of filam ...
Optical Soc Amer2015MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces
Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi
We consider the numerical approximation of high order Partial Differential Equations (PDEs) defined on surfaces in the three dimensional space, with particular emphasis on closed surfaces. We consider computational domains that can be represented by B-spli ...
MATHICSE2015Dual-band plasmonic resonator based on Jerusalem cross-shaped nanoapertures
Hatice Altug, Arif Engin Cetin, Shyamsunder Erramilli
In this paper, we both experimentally and numerically introduce a dual-resonant metamaterial based on subwavelength Jerusalem cross-shaped apertures. We numerically investigate the physical origin of the dual-resonant behavior, originating from the constit ...
Elsevier2015Dual sourcing under heavy-tailed demand: an extreme value theory approach
We consider a single-period dual-sourcing problem in which a buyer purchases its products from two different suppliers and sells them to a market with uncertain demand. One supplier is cheaper but less responsive, whereas the other supplier is more respons ...
Taylor & Francis Ltd2015A variational approach to stable principal component pursuit
We introduce a new convex formulation for stable principal component pursuit (SPCP) to decompose noisy signals into low-rank and sparse representations. For numerical solutions of our SPCP formulation, we first develop a convex variational framework and th ...
2014The flux-coordinate independent approach applied to X-point geometries
A Flux-Coordinate Independent (FCI) approach for anisotropic systems, not based on magnetic flux coordinates, has been introduced in Hariri and Ottaviani [Comput. Phys. Commun. 184, 2419 (2013)]. In this paper, we show that the approach can tackle magnetic ...
Amer Inst Physics2014BPX-preconditioning for isogeometric analysis
We consider elliptic PDEs (partial differential equations) in the framework of isogeometric analysis, i.e., we treat the physical domain by means of a B-spline or NURBS mapping which we assume to be regular. The numerical solution of the PDE is computed by ...
2013The Adomian Decomposition Method for Nonlinear Partial Differential Equations
The goal of this report is to study the method introduced by Adomian known as the Adomian Decomposition Method (ADM), which is used to find an approximate solution to nonlinear partial differential equations (PDEs) as a series expansion involving the recur ...
2013