Publications related to A full-wave solver of the Maxwell's equations in 3D cold plasmas

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on

\mathbb{R}^{3+1}

constructed in [28], [27] are stable along a co-dimension three manifold of radial data perturbations in a suit ...

2018

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media

Timothée Noé Pouchon

Modeling wave propagation in highly heterogeneous media is of prime importance in engineering applications of diverse nature such as seismic inversion, medical imaging or the design of composite materials. The numerical approximation of such multiscale phy ...

EPFL2017

Characterization of Contour Mode Resonators

Andrea Lozzi

In this report, the in uence of several geometric parameters on the performance of aluminum nitride (AlN) contour mode resonators (CMR) is investigated at dierent frequencies (182 MHz, 460 MHz and 570 MHz). Main in uence is the anchor width (Wa) and the an ...

2017

MATHICSE Technical Report : Effective models for long time wave propagation in locally periodic media

Timothée Noé Pouchon, Assyr Abdulle

A family of effective equations for the wave equation in locally periodic media over long time is derived. In particular, explicit formulas for the effective tensors are provided. To validate the derivation, an a priori error estimate between the effective ...

MATHICSE2017

Locating transient disturbance sources and modelling their interaction with transmission lines

Gaspard Lugrin

This thesis deals with the application of electromagnetic time reversal to locating transient disturbance sources and the use of the asymptotic theory for the modelling of their interaction with transmission lines. We demonstrate that the time-of-arrival, ...

EPFL2016

Wave propagation in periodic buckled beams. Part II: Experiments

Alessandro Spadoni, Florian Paul Robert Maurin

Buckled periodic beams possess a geometrically nonlinear, load-deformation relation and intrinsic length scales such that stable, nonlinear waves are possible. In part I of this paper, a model has been derived that predict compressive/rarefaction, superson ...

Elsevier Science Bv2016

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Timothée Noé Pouchon, Assyr Abdulle

A family of effective equations that capture the long time dispersive effects of wave propagation in heterogeneous media in an arbitrary large periodic spatial domain

\Omega \subset \mathbb{R}^d

over long time is proposed and analyzed. For a wave equatio ...

MATHICSE2016

A priori error analysis of the finite element heterogeneous multiscale method for the wave equation in heterogeneous media over long time

Timothée Noé Pouchon, Assyr Abdulle

A fully discrete a priori analysis of the finite element heterogeneous multiscale method introduced in [A. Abdulle, M. Grote, and C. Stohrer, Multiscale Model. Simul., 12, 2014, pp. 1135-1166] for the wave equation with highly oscillatory coefficients over ...

Siam Publications2016

Wave propagation in the vicinities of rock fractures under obliquely incident wave

Lyesse Laloui, Jian Zhao, Yang Zou, Jing Li

Though obliquely incident plane wave across rock fractures has been extensively investigated by theoretical analysis, the quantitative identification of each wave emerged from fractures has not been achieved either in numerical simulation or laboratory exp ...

Springer Verlag2016

ICRH induced particle losses in Wendelstein 7-X

Jonathan Graves, Wilfred Anthony Cooper, David Pfefferlé, Jonathan Marc Philippe Faustin

Fast ions in W7-X will be produced either by neutral beam injection (NBI) or by ion-cyclotron resonant heating (ICRH). The latter presents the advantage of depositing power locally and does not suffer from core accessibility issues (Drevlak et al 2014 Nucl ...

Plasma Physics and Controlled Fusion2016

A full-wave solver of the Maxwell's equations in 3D cold plasmas

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On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media

Characterization of Contour Mode Resonators

MATHICSE Technical Report : Effective models for long time wave propagation in locally periodic media

Locating transient disturbance sources and modelling their interaction with transmission lines

Wave propagation in periodic buckled beams. Part II: Experiments

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

A priori error analysis of the finite element heterogeneous multiscale method for the wave equation in heterogeneous media over long time

Wave propagation in the vicinities of rock fractures under obliquely incident wave

ICRH induced particle losses in Wendelstein 7-X

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

MATHICSE Technical Report : Effective models for long time wave propagation in locally periodic media

Characterization of Contour Mode Resonators

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media

Wave propagation in periodic buckled beams. Part II: Experiments

Locating transient disturbance sources and modelling their interaction with transmission lines

A priori error analysis of the finite element heterogeneous multiscale method for the wave equation in heterogeneous media over long time

Wave propagation in the vicinities of rock fractures under obliquely incident wave

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

ICRH induced particle losses in Wendelstein 7-X