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[PDF] Top 20 Semiclassical measure for the solution of the dissipative Helmholtz equation

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Semiclassical measure for the solution of the dissipative Helmholtz equation

Semiclassical measure for the solution of the dissipative Helmholtz equation

... use the point of view of ...considers the case of a source which concentrates on one or two points (with V1 6= 0) using a time-dependant method based on a BKW approximation of ... Voir le document complet

44

A study of the Numerical Dispersion for the Continuous Galerkin discretization of the one-dimensional Helmholtz equation

A study of the Numerical Dispersion for the Continuous Galerkin discretization of the one-dimensional Helmholtz equation

... [8]. The results in [1, Theorem ...Ansatz for the numerical solution. There are two folds to the novelty of our work: methodology and application for numerical ...Instead ... Voir le document complet

77

One dimensional dissipative Boltzmann equation: measure solutions, cooling rate and self-similar profile

One dimensional dissipative Boltzmann equation: measure solutions, cooling rate and self-similar profile

... In the aforementioned references, the natural approach consists in applying Theorem ...consider for the subset Z a convex set which includes an upper bound for some of the ... Voir le document complet

40

A Symmetric Trefftz-DG Formulation based on a Local Boundary Element Method for the Solution of the Helmholtz Equation

A Symmetric Trefftz-DG Formulation based on a Local Boundary Element Method for the Solution of the Helmholtz Equation

... lation of the orresponding boundary-value ...follows the path devised in [4℄ (see also [37, p. 122℄) for designing Symmetri Interior Penalty (SIP) methods but in a bit dierent way, more ... Voir le document complet

35

Generalized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equation

Generalized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equation

... denotes the vector of incidence in circular or spherical ...9.1 The sound-soft scattering problem In the case of a Dirichlet datum, we compare the four integral representations: ... Voir le document complet

22

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 ...disappearing solution, that is there exists T > 0 depending on f such that u(t, x) vanishes for all t ≥ T > ...On ... Voir le document complet

25

Approximation of periodic solutions for a dissipative hyperbolic equation

Approximation of periodic solutions for a dissipative hyperbolic equation

... Now, the rest of the proof follows as in Theorem ...to the exact solution (u h , ˙u h ...to the time variable. Using error estimates for full space-time discretizations ... Voir le document complet

38

Two-level preconditioners for the Helmholtz equation

Two-level preconditioners for the Helmholtz equation

... Solving the Helmholtz equation −∆u − k 2 u = f is a challenging task be- cause of its indefinite nature and its highly oscillatory solution when the wavenumber k is ... Voir le document complet

10

Uniform resolvent estimates for a non-dissipative Helmholtz equation

Uniform resolvent estimates for a non-dissipative Helmholtz equation

... HELMHOLTZ EQUATION JULIEN ROYER Abstract. We study the high frequency limit for a non-dissipative Helmholtz ...prove the absence of eigenvalue on the upper ... Voir le document complet

28

Measure solutions to the conservative renewal equation

Measure solutions to the conservative renewal equation

... As for the direct problem, we first give a definition of weak solutions for (6) by using the method of char- ...in the classical sense. Then easy computations show that ... Voir le document complet

13

Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

... Evolution of the convergence rate versus the length of the truncation 𝐿 for the wavenumber 𝑘 = ...number of subdomains, following the argument in [ 5 ], at ... Voir le document complet

37

Reconstruction of solutions to the Helmholtz equation from punctual measurements

Reconstruction of solutions to the Helmholtz equation from punctual measurements

... a solution to the Helmholtz equation (2) in a domain D ⊂ R d , d = 2 or 3, is to reconstruct it in a domain Ω ⊂ D from a limited number of punctual measurements, without knowing ... Voir le document complet

5

On the finite element solution of helmholtz problems in anisotropic media

On the finite element solution of helmholtz problems in anisotropic media

... on the basis of a BIE. In the same spirit, we propose a DG method using local shape solutions to the Helmholtz problem that are matched at the interface of the mesh ... Voir le document complet

47

Coupling of Fast Multipole Method and Microlocal Discretization for the 3-D Helmholtz Equation

Coupling of Fast Multipole Method and Microlocal Discretization for the 3-D Helmholtz Equation

... 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

30

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

... design of suitable a posteriori estimators is of paramount importance both for control of the error between u and u h and for the efficiency of algorithms ... Voir le document complet

42

Gibbs measure for the periodic derivative nonlinear Schrödinger equation

Gibbs measure for the periodic derivative nonlinear Schrödinger equation

... [1] C. Ané, S. Blachère, D. Chafaï, P. Fougères, I. Gentil, F. Malrieu, R. Cyril, and G. Scheffer. Sur les inégalités de Sobolev logarithmiques. Panoramas et Synthèses, 10. Société Mathématique de France, Paris, 2000. ... Voir le document complet

28

Asymptotic solution of the Boltzmann-Krook equation for the Rayleigh flow

Asymptotic solution of the Boltzmann-Krook equation for the Rayleigh flow

... Corresponding heat transfer rate on the surface caused by both the heat con- duction and the recombination process on the catalytic surface is obtained until the [r] ... Voir le document complet

109

Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation

Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation

... In the context of time harmonic wave equations, the pioneering work of ...in the coupling of sub-domains in order to obtain convergence of non- overlapping domain ... Voir le document complet

9

Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime

Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime

... that the approach we present here is no longer expected to be asymptotic preserving beyond the breakup time for the Euler ...equation. The pres- ence of rapid oscillations ... Voir le document complet

30

On the General Solution of the Basic Equation of Thermal Conduction

On the General Solution of the Basic Equation of Thermal Conduction

... For the publisher’s version, please access the DOI link ...use of this website and the material on it are subject to the Terms and Conditions set forth ... Voir le document complet

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