Publications related to Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Assessment of the Influence of Losses on the Performance of the Electromagnetic Time Reversal Fault Location Method

Mario Paolone, Reza Razzaghi, Gaspard Lugrin

Electromagnetic time reversal (EMTR) has been shown to be an efficient method for locating faults in AC and DC power grids. In the available literature, the back-propagation medium has been considered to have identical losses as the direct-time medium. How ...

Institute of Electrical and Electronics Engineers2017

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

Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves

Multiscale or multiphysics partial differential equations are used to model a wide range of physical systems with various applications, e.g. from material and natural science to problems in biology or engineering. When the ratio between the smallest scale ...

EPFL2017

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

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

Seismic response of rock joints under obliquely incident wave

Yang Zou

Seismic response of joints which are found to be ubiquitous in rock masses is of great interest to rock engineers, geophysicists and seismologists. In the past years, wave propagation across rock joints has been the subject of extensive theoretical and exp ...

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

Wave propagation in periodic buckled beams

Florian Paul Robert Maurin

Folding of the earth's crust, wrinkling of the skin, rippling of fruits, vegetables and leaves are all examples of natural structures that can have periodic buckling. Periodic buckling is also present in engineering structures such as compressed lattices, ...

EPFL2015

Phonon dispersion calculations using the Vaks model in antiferroelectric lead zirconate

Alexander Tagantsev

The calculations of low-energy phonon dispersion relations in lead zirconate (PZ) have been carried out using the Vaks model. This model takes into account only five low-energy phonon modes and their interactions. It has been shown that this model allows t ...

World Scientific Publ Co Pte Ltd2015

Evaluation of experimentally measured non-stationary oscillations in gyrotrons using adequate simulation methods

Stefano Alberti, Minh Quang Tran, Jean-Philippe Hogge, Jérémy Genoud, Falk Hans Braunmüller, Trach-Minh Tran

In order to properly simulate cases in which gyrotrons exhibit fast temporally varying oscillations, such as non-stationary oscillations or possible dynamic After-Cavity Interaction (ACI), an adequate model for the beam-wave interaction has to be used. We ...

2015

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

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Assessment of the Influence of Losses on the Performance of the Electromagnetic Time Reversal Fault Location Method

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

Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves

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

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

Seismic response of rock joints under obliquely incident wave

Wave propagation in periodic buckled beams. Part II: Experiments

Wave propagation in periodic buckled beams

Phonon dispersion calculations using the Vaks model in antiferroelectric lead zirconate

Evaluation of experimentally measured non-stationary oscillations in gyrotrons using adequate simulation methods

Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves

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

Assessment of the Influence of Losses on the Performance of the Electromagnetic Time Reversal Fault Location Method

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

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

Seismic response of rock joints under obliquely incident wave

Wave propagation in periodic buckled beams. Part II: Experiments

Phonon dispersion calculations using the Vaks model in antiferroelectric lead zirconate

Wave propagation in periodic buckled beams

Evaluation of experimentally measured non-stationary oscillations in gyrotrons using adequate simulation methods