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An Analysis of Higher Order Boundary Conditions for the Wave Equation.

An Analysis of Higher Order Boundary Conditions for the Wave Equation.

... Unité de recherche INRIA Rocquencourt Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois -[r] ... Voir le document complet

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AN ANALYSIS OF HIGHER ORDER BOUNDARY CONDITIONS FOR THE WAVE EQUATION

AN ANALYSIS OF HIGHER ORDER BOUNDARY CONDITIONS FOR THE WAVE EQUATION

... lot of available theoretical results about higher order ...ABCs. The first question that was raised by Engquist and Majda in their original papers was that of the well-posedness ... Voir le document complet

30

LOCATION OF EIGENVALUES FOR THE WAVE EQUATION WITH DISSIPATIVE BOUNDARY CONDITIONS

LOCATION OF EIGENVALUES FOR THE WAVE EQUATION WITH DISSIPATIVE BOUNDARY CONDITIONS

... in the ”black box” K a which remain undetected by the scattering ...vanishes for all t ≥ T > 0. On the other hand, if γ(x) 6= 1, ∀x ∈ Γ, and the boundary is analytic there are ... Voir le document complet

25

Second order homogenization of the elastic wave equation for non-periodic layered media

Second order homogenization of the elastic wave equation for non-periodic layered media

... in the seismic wave propagation modelling context, scales much smaller than the minimum wavelength are present in the earth model in which we wish to compute ...seismograms. For many ... Voir le document complet

17

Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain

Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain

... consider the time-dependent linear free Schr¨ odinger equation truncated in a rectangular two-dimensional ...When the fictitious boundary has some corners, like this is the case ... Voir le document complet

28

Control of a Wave Equation with a Dynamic Boundary Condition

Control of a Wave Equation with a Dynamic Boundary Condition

... NTRODUCTION The aim of this paper is to study a wave equation in a bounded one-dimensional medium supplied with a dynamic (or kinetic) boundary condition at one ...end. The ... Voir le document complet

7

Holls: an Intentional First-Order Expression of Higher-Order Logic

Holls: an Intentional First-Order Expression of Higher-Order Logic

... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ... Voir le document complet

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Analysis of the factorization method for a general class of boundary conditions

Analysis of the factorization method for a general class of boundary conditions

... For the numerical two dimensional tests, we relied on the use of classical Tikhonov-Morozov regularization strategy to solve the factorization ...handles the case of noisy ... Voir le document complet

22

On the boundary value problem for the Schrödinger equation: compatibility conditions and global existence

On the boundary value problem for the Schrödinger equation: compatibility conditions and global existence

... R´ esum´ e On ´ etudie des ´ equations de Schr¨ odinger lin´ eaires et non lin´ eaires sur un domaine Ω avec donn´ ee initiale et condition au bord de Dirichlet non nulles. Dans une premi` ere partie on ´ etudie le ... Voir le document complet

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Asymptotic analysis of an advection-diffusion equation and application to boundary controllability

Asymptotic analysis of an advection-diffusion equation and application to boundary controllability

... description of the solution y ε when ε is ...example of complex models where the diffusion coefficient is very small compared to the ...mind the Stokes system where ε stands ... Voir le document complet

39

Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation

Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation

... School of Mathematics and Statistics, and Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan 430072, China Abstract A general method is proposed to build exact artificial boundary ... Voir le document complet

18

Role of the basin boundary conditions in gravity wave turbulence

Role of the basin boundary conditions in gravity wave turbulence

... picture of the wave field in a stationary regime are shown in figure 4 for two different boundary conditions: beach (top) or wall ...observation of the wave ... Voir le document complet

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Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using finite-difference method

Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using finite-difference method

... in the literature. In [13] (see also [5, Section 2.4]), the author proved a uniform observability result by eliminating short wave length components of the whole solution for ... Voir le document complet

20

Analysis of Apparent Topography scheme for the linear wave equation with Coriolis force

Analysis of Apparent Topography scheme for the linear wave equation with Coriolis force

... the linear wave equation with Coriolis force Emmanuel Audusse, Minh Hieu Do, Pascal Omnes, Yohan Penel Abstract The shallow water equations can be used to model many phenomena in geophysical ... Voir le document complet

9

Wave chaos for the Helmholtz equation

Wave chaos for the Helmholtz equation

... INTRODUCTION The study of wave propagation in complicated structures can be achieved in the high frequency (or small wavelength) limit by considering the dynamics of ...rays. ... Voir le document complet

16

Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP

Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP

... investigate the space-time fluctuations of the microscopic density fluctuation field, and to prove that, when prop- erly recentered, the latter is close in the macroscopic limit to a ... Voir le document complet

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Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method

Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method

... by the study of a similar strategy as in [1], where a finite difference semi-discrete scheme for the approximation of the boundary controls of a 1- D ... Voir le document complet

19

Absorbing boundary conditions for wave equations, curvature and finite elements

Absorbing boundary conditions for wave equations, curvature and finite elements

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

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Existence of solutions for a higher order non-local equation appearing in crack dynamics

Existence of solutions for a higher order non-local equation appearing in crack dynamics

... prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the mod- eling of hydraulic ...fractures. ... Voir le document complet

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Higher-order interpretations for higher-order complexity

Higher-order interpretations for higher-order complexity

... to the right. In what follows, we will consider only well-typed terms. The type system assigns types to all the syntactic constructions of the language and ensures that a program does ... Voir le document complet

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