Publications related to Relativistic wave equations

Magnetic excitations from the two-dimensional interpenetrating Cu framework in Ba2Cu3O4Cl2

Henrik Moodysson Rønnow, Peter Babkevich, Diane Virginie Marie Lançon, Noore Elahi Shaik, Mechthild Enderle

We report detailed neutron scattering studies on Ba2Cu3O4Cl2. The compound consists of two interpenetrating sublattices of Cu, labeled as Cu-A and Cu-B, each of which forms a square-lattice Heisenberg antiferromagnet. The two sublattices order at different ...

Amer Physical Soc2017

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

Localized orthogonal decomposition method for the wave equation with a continuum of scales

Assyr Abdulle, Patrick Henning

In this paper we propose and analyze a new multiscale method for the wave equation. The proposed method does not require any assumptions on space regularity or scale-separation and it is formulated in the framework of the Localized Orthogonal Decomposition ...

American Mathematical Society2017

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

Transport evidence for Fermi-arc-mediated chirality transfer in the Dirac semimetal Cd3As2

Philip Johannes Walter Moll

The dispersion of charge carriers in a metal is distinctly different from that of free electrons owing to their interactions with the crystal lattice. These interactions may lead to quasiparticles mimicking the massless relativistic dynamics of high-energy ...

2016

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

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

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 : Multiscale methods for wave problems in heterogeneous media

Assyr Abdulle, Patrick Henning

In this paper we give a survey on various multiscale methods for the numerical solution of second order hyperbolic equations in highly heterogenous media. We concentrate on the wave equation and distinguish between two classes of applications. First we dis ...

MATHICSE2016

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

Relativistic wave equations

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Magnetic excitations from the two-dimensional interpenetrating Cu framework in Ba2Cu3O4Cl2

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

Localized orthogonal decomposition method for the wave equation with a continuum of scales

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

Transport evidence for Fermi-arc-mediated chirality transfer in the Dirac semimetal Cd3As2

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

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

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

MATHICSE Technical Report : Multiscale methods for wave problems in heterogeneous media

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

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

Localized orthogonal decomposition method for the wave equation with a continuum of scales

Transport evidence for Fermi-arc-mediated chirality transfer in the Dirac semimetal Cd3As2

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

Magnetic excitations from the two-dimensional interpenetrating Cu framework in Ba2Cu3O4Cl2

MATHICSE Technical Report : Multiscale methods for wave problems in heterogeneous media

MATHICSE Technical Report : 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

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

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