Publications related to One-way wave equation

An Easily Computable Error Estimator In Space And Time For The Wave Equation

We propose a cheaper version of a posteriori error estimator from Gorynina et al. (Namer. Anal. (2017)) for the linear second-order wave equation discretized by the Newmark scheme in time and by the finite element method in space. The new estimator preserv ...

EDP Sciences2019

InAs/InP quantum dot VECSEL emitting at 1.5 mu m

Elyahou Kapon, Grigore Suruceanu, Alexandru Mereuta, Andrei Caliman

A high-power InAs quantum dot (QD) vertical-external-cavity surface-emitting laser emitting at 1.5 mu m is reported. The active region employs 20 layers of high-density Stranski-Krastanow InAs quantum dots on an InP substrate. The QD density and emission w ...

AMER INST PHYSICS2019

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

Doppler-Based Acoustic Gyrator

Romain Christophe Rémy Fleury, Farzad Zangeneh Nejad

Non-reciprocal phase shifters have been attracting a great deal of attention due to their important applications in filtering, isolation, modulation, and mode locking. Here, we demonstrate a non-reciprocal acoustic phase shifter using a simple acoustic wav ...

2018

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of

2S

dynamica ...

2017

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash, Eva Vidlicková

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...

MATHICSE2017

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

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Jean-Philippe Lucien Montillet

Families of energy operators and generalized energy operators have recently been introduced in the definition of the solutions of linear Partial Differential Equations (PDEs) with a particular application to the wave equation [ 15]. To do so, the author ha ...

Int Center Scientific Research & Studies2017

Design considerations for implantable and wearable antennas

Anja Skrivervik

This contribution gives a review of our results characterizing the propagation in lossy biological tissues. These results were mainly obtained using a simplified spherical model allowing a description in spherical wave decomposition. This model is of cours ...

IEEE2017

Multiscale methods for wave problems in heterogenous 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 ...

2017

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An Easily Computable Error Estimator In Space And Time For The Wave Equation

InAs/InP quantum dot VECSEL emitting at 1.5 mu m

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

Doppler-Based Acoustic Gyrator

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

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

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Design considerations for implantable and wearable antennas

Multiscale methods for wave problems in heterogenous media

An Easily Computable Error Estimator In Space And Time For The Wave Equation

InAs/InP quantum dot VECSEL emitting at 1.5 mu m

Doppler-Based Acoustic Gyrator

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

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

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Design considerations for implantable and wearable antennas

Multiscale methods for wave problems in heterogenous media

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