Concept

Quadrature (mathématiques)

Publications associées (8)

PDE-constrained optimal control problems with uncertain parameters using SAGA

We consider an optimal control problem for an elliptic partial differential equation (PDE) with random coefficients. The control function is a deterministic, distributed forcing term that minimizes an expected quadratic regularized loss functional. We cons ...

2018

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Jan Sickmann Hesthaven, Boris Bonev

We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and non-conforming, curved meshes in a well-balanced manner. This requires a well-balanced discretization, that can ...

2018

Accuracy of surface integral equation matrix elements in plasmonic calculations

Olivier Martin, Raziman Thottungal Valapu, Eric Claude Le Ru

We study the convergence of the integrals required to be evaluated in the surface integral equation (SIE) formulation (or method of moments) for simulating the optical response of plasmonic nanostructures. We analyze how the numerical quadratures used to c ...

Optical Soc Amer2015

Numerical study on the force-deformation behaviour of masonry spandrels with arches

Katrin Beyer, Sujith Mangalathu Sivasubramanian Pillai

This paper presents a numerical study on the force-deformation behaviour of masonry spandrels supported on arches which are analysed using simplified micro models. The model is validated against results from quasi-static cyclic tests on masonry spandrels. ...

Taylor & Francis2014

Local demodulation of holograms using the Riesz transform with application to microscopy

Michaël Unser, Christian Depeursinge, Nicolas Pavillon, Chandra Sekhar Seelamantula

We propose a Riesz transform approach to the demodulation of digital holograms. The Riesz transform is a higher-dimensional extension of the Hilbert transform and is steerable to a desired orientation. Accurate demodulation of the hologram requires a relia ...

Optical Society of America2012

Influence of electromagnetic interactions on the lineshape of plasmonic Fano resonances

Olivier Martin, Benjamin Gallinet

The optical properties of plasmonic nanostructures supporting Fano resonances are investigated with an electromagnetic theory. Contrary to the original work of Fano, this theory includes losses in the materials composing the system. As a result, a more gen ...

American Chemical Society2011

Fast directional correlation on the sphere with steerable filters

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

A fast algorithm is developed for the directional correlation of scalar band-limited signals and band-limited steerable filters on the sphere. The asymptotic complexity associated to it through simple quadrature is of order O(L^5), where 2L stands for the ...

2006

Modelling of high temperature superconductors for AC power applications

This Ph.D. thesis is focused on the development of novel models for calculation of AC losses, current and magnetic field profiles in high-temperature superconductors (HTS). The thesis is concentrated on the modelling of Bi-2223 conductors at 77 K, which fo ...

EPFL2002

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