Publications related to 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

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 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

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 of R-d is proposed and analyzed. For a wave equation with highly oscillatory ...

World Scientific Publ Co Pte Ltd2016

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

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

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

Hoài-Minh Nguyên

This paper concerns approximate cloaking by mapping for a full, but scalar wave equation, when one allows for physically relevant frequency dependence of the material properties of the cloak. The paper is a natural continuation of [20], but here we employ ...

Elsevier2016

MATHICSE Technical Report : A priori error analysis of the finite element heterogenenous multiscale method for the wave equation in heterogenenous media over long time

Timothée Noé Pouchon

A fully discrete a priori analysis of the finite element heterogenenous multiscale method (FE-HMM) introduced in [A. Abdulle, M. Grote, C. Stohrer, MultiscaleModel. Simul. 2014] for the wave equation with highly oscillatory coefficients over long time is p ...

MATHICSE2015

Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

Hoài-Minh Nguyên

This paper is devoted to the study of the generalized impedance boundary conditions (GIBCs) for a strongly absorbing obstacle in the time regime in two and three dimensions. The GIBCs in the time domain are heuristically derived from the corresponding cond ...

World Scientific Publishing2015

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

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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 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

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

Seismic response of rock joints under obliquely incident wave

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

MATHICSE Technical Report : A priori error analysis of the finite element heterogenenous multiscale method for the wave equation in heterogenenous media over long time

Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

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

Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

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

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

Seismic response of rock joints under obliquely incident wave

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

A vector field method on the distorted Fourier side and decay for wave equations with potentials

MATHICSE Technical Report : A priori error analysis of the finite element heterogenenous multiscale method for the wave equation in heterogenenous media over long time

Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model