Publications related to Theoretical and Numerical Analyses of Wave Propagation in Jointed Rock Masses

Scattering of transverse surface waves by a piezoelectric fiber in a piezoelectric half-space with exponentially varying electromechanical properties

In the present work, an analytical solution is presented for the scattering of transverse surface waves by a homogeneous piezoelectric fiber contained in a functionally graded piezoelectric half-space with exponential variation. The boundary value problem ...

2019

Effect of bed roughness on tsunami-like waves and induced loads on buildings

Anton Schleiss, Michael Pfister, Davide Wüthrich

Tsunami, impulse-waves and dam-break waves afflict humanity with casualties and damages. An insight into the flow mechanisms of these waves is important to provide safety and reduce reconstruction costs. This experimental study focuses on the effect of bed ...

2019

A nodal discontinuous Galerkin finite element method for the poroelastic wave equation

Jan Sickmann Hesthaven, Khemraj Shukla

We use the nodal discontinuous Galerkin method with a Lax-Friedrich flux to model the wave propagation in transversely isotropic and poroelastic media. The effect of dissipation due to global fluid flow causes a stiff relaxation term, which is incorporated ...

2018

Electromagnetic Waves in a Time Periodic Medium With Step-Varying Refractive Index

Romain Christophe Rémy Fleury, Theodoros Koutserimpas

We present an exact mathematical framework for electromagnetic wave propagation in periodically time-modulated media, in which the permittivity is homogenous and modulated in a step-varying fashion. By using Hill’s equation theory, we show that this proble ...

2018

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

Joachim Krieger

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

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

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

Lyesse Laloui, Jian Zhao, Yang Zou

The effects of viscoelastic filled rock joints on wave propagation are of great significance in rock engineering. The solutions in time domain for plane longitudinal ( P-) and transverse ( S-) waves propagation across a viscoelastic rock joint are derived ...

Springer Verlag2017

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

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

Theoretical and Numerical Analyses of Wave Propagation in Jointed Rock Masses

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Scattering of transverse surface waves by a piezoelectric fiber in a piezoelectric half-space with exponentially varying electromechanical properties

Effect of bed roughness on tsunami-like waves and induced loads on buildings

A nodal discontinuous Galerkin finite element method for the poroelastic wave equation

Electromagnetic Waves in a Time Periodic Medium With Step-Varying Refractive Index

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

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

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

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

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

Scattering of transverse surface waves by a piezoelectric fiber in a piezoelectric half-space with exponentially varying electromechanical properties

Effect of bed roughness on tsunami-like waves and induced loads on buildings

A nodal discontinuous Galerkin finite element method for the poroelastic wave equation

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

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

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

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

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

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

Electromagnetic Waves in a Time Periodic Medium With Step-Varying Refractive Index