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[PDF] Top 20 Uniform resolvent estimates for a non-dissipative Helmholtz equation

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Uniform resolvent estimates for a non-dissipative Helmholtz equation

Uniform resolvent estimates for a non-dissipative Helmholtz equation

... HELMHOLTZ EQUATION JULIEN ROYER ...limit for a non-dissipative Helmholtz ...satisfies a weak damping assumption on trapped ...the resolvent estimates ... Voir le document complet

28

On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation

On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation

... procedure for the scattering problem of Section ...selected for refinement. In each figure, we indicate by a dashed vertical line the first iteration for which the resolved regime is entered ... Voir le document complet

42

Semiclassical measure for the solution of the dissipative Helmholtz equation

Semiclassical measure for the solution of the dissipative Helmholtz equation

... need a non-trapping condition on classical trajectories of energy E > 0 to have uniform esti- mates of the resolvent and the limiting absorption principle around E (see [RT87, ...the ... Voir le document complet

44

Stabilization of Kelvin-Helmholtz instabilities in 3D linearized Euler equations using a non-dissipative discontinuous Galerkin method

Stabilization of Kelvin-Helmholtz instabilities in 3D linearized Euler equations using a non-dissipative discontinuous Galerkin method

... paper a time-domain Discontinuous Galerkin dissipation- free method for the transient solution of the three-dimensional linearized Euler equations around a steady-state ...of a ... Voir le document complet

16

Approximation of periodic solutions for a dissipative hyperbolic equation

Approximation of periodic solutions for a dissipative hyperbolic equation

... error estimates for full space-time discretizations corresponding to those in Proposition ...after a careful numerical analysis, to obtain convergence rates for the periodic solutions based on ... Voir le document complet

38

Semiclassical resolvent estimates in chaotic scattering

Semiclassical resolvent estimates in chaotic scattering

... is a potential ...outside a bounded region: g ij (x) = δ ij , V (x) = −1 , when |x| > R ...with a short-range scattering situation. We refer to (21, §3.2) for the complete set of ... Voir le document complet

10

Exponential decay for the Schrödinger equation on a dissipative waveguide

Exponential decay for the Schrödinger equation on a dissipative waveguide

... the dissipative equations, this non-trapping assumption can be replaced by the same damping condition (geometric control condition) on bounded trajectories as in the compact case (where all the trajectories ... Voir le document complet

22

Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces

Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces

... as a semiclassical pseudodifferential operator of order −∞ for our purposes), in order to construct a parametrix for P (h, σ), we need to follow the flow out of semiclassical singularities ... Voir le document complet

50

A quasi-static stability analysis for Biot’s equation and standard dissipative systems

A quasi-static stability analysis for Biot’s equation and standard dissipative systems

... and a dissipation ...differential equation and covers most usual laws of visco-plasticity and ...as a particular ...established for a quasi-static response of a visco-plastic or ... Voir le document complet

12

A quasi-static stability analysis for Biot's equation and standard dissipative systems

A quasi-static stability analysis for Biot's equation and standard dissipative systems

... and dissipative potentials explains the great interests of Biot’s equation in the study of physical ...equations for the model of generalized standard materials ...details for the constitutive ... Voir le document complet

12

Carleman estimates for the wave equation in heterogeneous media with non-convex interface

Carleman estimates for the wave equation in heterogeneous media with non-convex interface

... where a global Carleman inequality for a wave equation with a jump at an interface is ...tool for the study of the Lipschitz stability of an inverse problem, the one of ... Voir le document complet

26

Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian

Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian

... the resolvent of Schr¨odinger type ...by a potential (see e.g. [6]) or a short range metric (see ...the resolvent at low energies for compactifiable manifolds (see ...obtained a ... Voir le document complet

7

Compressed absorbing boundary conditions for the Helmholtz equation

Compressed absorbing boundary conditions for the Helmholtz equation

... prove a result on approxi- mating D in a special case, with inverse powers multiplied by a complex ...of a basis for a variety of heterogeneous ...obtain a matrix ... Voir le document complet

105

A Rellich type theorem for the Helmholtz equation in a conical domain

A Rellich type theorem for the Helmholtz equation in a conical domain

... hand, a Fourier representation of a solution u to (1) in a half-plane and on the other hand, an analyticity ...as a superposition of modes, which are either propagative or ... Voir le document complet

7

Perfectly matched layers for the convected Helmholtz equation

Perfectly matched layers for the convected Helmholtz 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

33

Atmospheric Radiation Boundary Conditions for the Helmholtz Equation

Atmospheric Radiation Boundary Conditions for the Helmholtz Equation

... is a discipline of solar physics that began to emerge fifty years ...using a Doppler technique ...an Helmholtz equation with variable coefficients involving the sound speed and the density ... Voir le document complet

21

Asymptotic Estimates for Perturbed Scaiar Curvature Equation

Asymptotic Estimates for Perturbed Scaiar Curvature Equation

... that for W ≡ 0, the equation (E ǫ ) is the wellknowen scalar curvature equation on open set of R n , n ≥ ...this equation, see for example [B] and [C-L ...give a flatness ... Voir le document complet

8

An overlapping splitting double sweep method for the Helmholtz equation

An overlapping splitting double sweep method for the Helmholtz equation

... the Helmholtz problem and formulate a modified version of the double sweep algorithms introduced in [ 13 , 16 , 17 ], then how we use this overlapping splitting double sweep algorithm to build a ... Voir le document complet

15

The phase retrieval problem for solutions of the Helmholtz equation

The phase retrieval problem for solutions of the Helmholtz equation

... reconstructing a function from its modulus or the modulus of some transform of it (frame coef- ficient, Fourier ...[Ja] for descriptions of various instances of this problems, some solutions to it (both ... Voir le document complet

20

Global L∞ gradient estimates for solutions to a certain degenerate elliptic equation

Global L∞ gradient estimates for solutions to a certain degenerate elliptic equation

... GRADIENT ESTIMATES FOR ...exponent, for which regularity results are nowadays widely established (see [4, 11, ...[2], for modeling reasons the assumption “H differentiable at 0” is not ... Voir le document complet

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