Publications related to Reduced basis method for the elastic scattering by multiple shape-parametric open arcs in two dimensions

Related publications (11)

A Box-Spline Framework for Inverse Problems With Continuous-Domain Sparsity Constraints

Michaël Unser, Aleix Boquet I Pujadas, Mehrsa Pourya

The formulation of inverse problems in the continuum eliminates discretization errors and allows for the exact incorporation of priors. In this paper, we formulate a continuous-domain inverse problem over a search space of continuous and piecewise-linear f ...

Ieee-Inst Electrical Electronics Engineers Inc2024

On the correction of the transient ground resistance at early times in lightning surge propagation studies

Farhad Rachidi-Haeri, Hannes Kohlmann

The impact of the ground losses on transient surges that propagate along transmission lines is taken into consideration in the telegrapher’s equations through the so-called transient ground resistance function ξ’g(t), for which numerous ex-pressions exist. ...

2024

Lattice Green's function method for Atomistic/Continuum coupling

Ankit Gupta

Metal plasticity is an inherently multiscale phenomenon due to the complex long-range field of atomistic dislocations that are the primary mechanism for plastic deformation in metals. Atomistic/Continuum (A/C) coupling methods are computationally efficient ...

EPFL2023

Finite element method–discrete element method bridging coupling for the modeling of gouge

Jean-François Molinari, Guillaume Anciaux, Antonio Joaquin Garcia Suarez, Manon Eugénie Voisin--Leprince

We discuss the multiscale modeling of a granular material trapped between continuum elastic domains. The amorphous granular region, usually termed “gouge,” is under high confinement pressure, to represent the loading of faults at depth. We model the granul ...

Wiley2023

A Fast Hybrid Pressure-Correction Algorithm for Simulating Incompressible Flows by Projection Methods

Jiannong Fang

To enforce the conservation of mass principle, a pressure Poisson equation arises in the numerical solution of incompressible fluid flow using the pressure-based segregated algorithms such as projection methods. For unsteady flows, the pressure Poisson equ ...

2023

Temperature dependence of the(pi,0)anomaly in the excitation spectrum of the 2D quantum Heisenberg antiferromagnet

Henrik Moodysson Rønnow, Martin Mourigal

It is well established that in the low-temperature limit, the two-dimensional quantum Heisenberg antiferromagnet on a square lattice (2DQHAFSL) exhibits an anomaly in its spectrum at short-wavelengths on the zone-boundary. In the vicinity of the (pi, 0) po ...

IOP PUBLISHING LTD2020

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Simone Deparis, Luca Pegolotti

This work focuses on the development of a non-conforming method for the coupling of PDEs based on weakly imposed transmission conditions: the continuity of the global solution is enforced by a finite number of Lagrange multipliers defined over the interfac ...

2019

Homogenization and Scattering Analysis of Second-Harmonic Generation in Nonlinear Metasurfaces

Olivier Martin, Karim Achouri, Jérémy Butet, Gabriel David Bernasconi

We propose an extensive discussion on the homogenization and scattering analysis of the second-order nonlinear metasurfaces. Our developments are based on the generalized sheet transition conditions (GSTCs) that are used to model the electromagnetic respon ...

2018

Imaging complex objects using learning tomography

Michaël Unser, Demetri Psaltis, Alexandre Goy, Joowon Lim, Morteza Hasani Shoreh

Optical diffraction tomography (ODT) can be described using the scattering process through an inhomogeneous media. An inherent nonlinearity exists relating the scattering medium and the scattered field due to multiple scattering. Multiple scattering is oft ...

SPIE-INT SOC OPTICAL ENGINEERING2018

High-order multiscale finite element method for elliptic problems

Jan Sickmann Hesthaven

In this paper, a new high-order multiscale finite element method is developed for elliptic problems with highly oscillating coefficients. The method is inspired by the multiscale finite element method developed in [3], but a more explicit multiscale finite ...

Society for Industrial and Applied Mathematics2014

Fano Resonances in Plasmonic Nanostructures : Fundamentals, Numerical Modeling and Applications

Benjamin Gallinet

Surface plasmons are able to generate extremely strong and confined optical fields at a deep-subwavelength scale, far beyond the diffraction limit, and now play a central role in nanosciences. A proper combination of plasmonic nanostructures can support Fa ...

EPFL2012